Ivo Marek

Department of Mathematics
Faculty of Civil Engineering
Czech Technical University
Thákurova 7
16629 Praha, Czech Republic
Phone +420 224354381
FAX +420 257911714
e-mail address: marek@ms.mff.cuni.cz

Publications

  1. Monographs and Teaching texts
  2. Journal publications
  3. Proceedings and refereed collections
  4. Scientific Research Reports
  5. Popularization of Mathematics, Evaluation and Laudationess
  6. Invited lectures
  7. Administration


Monographs and Teaching texts

  1. Numerické metody pro nenumeriky.(in Czech). Faculty of Civil Engineering, ČVUT, 1999.
  2. Mathematical Problems of the Kinetic Transport Theory. (in Russian). Nauka, Alma-Ata 1986. (coauthors A. S. Akishev, S. Míka, A. Sabekov, U. M. Sultangazin and K. Žitný).
  3. Matrix Analysis for Applied Sciences. Vol. I. Teubner Texte zur Mathematik Band 60, Teubner Verlag, Leipzig 1983. Vol. II, Teubner Texte zur Mathematik Band 84. Teubner Verlag, Leipzig 1986. (coauthor K. Žitný).
  4. Functional Analysis. Chapter 19 in the treatise Mathematics, Vol. 4 Analysis. Editors W. Ledermann and S. Vajda. J. Wiley Publ. London, New York 1982.
  5. Analytic Theory of Matrices. (in Czech). State Pedagogical Edition, Prague 1975.
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Journal publications

  1. Marek I., Pultarová I.: An aggregation variation on the GOOGLE matrix. Submitted for publication 2008.
  2. Marek I., Mayer P., Pultarová I.: Convergence issues in the theory and practice of iterative aggregation/disagrregation methods. Submitted ETNA 2007.
  3. Marek I., Mayer P., Pultarová I.: IAD methods based on splittings with cyclic iteration matrices. Dagstuhl Seminar Proceedings 07071, Web Information Retrieval and Linear Algebra Algorithms, 2007, 27 pp.
  4. Kruis J., Mayer P., Marek I.: Předpodmínění iteračních metod algoritmem BOSS. Proc. FEM, Praha, December 2007, ISBN 978-80-01-03942-7.
  5. Vyhledávač Google a některé matematické problémy spojené s jeho činnostmi.
  6. Aggregation/disaggregation iterative methods for solving algebraic Riccati equations.
  7. Convergence of iterative aggregation/disaggregation methods in presence of cyclic spectra.Submitted NLA, October 2006.
  8. A note on local and global convergence analysis of iterative aggregation/disaggregation methods. Linear Algebra Appl. 413 327-341 (2006).
  9. Input-output systems in Biology and Chemistry and a class of mathematical models chracterizing them. Appl. Math. 50, 219-245 (2005).
  10. Schwarz-like methods for approximate solving cooperative systems. Kybernetika 40, 611-624, 2004.
  11. Schwarz-like methods for approximate solving cooperative systems in Large-Scale Scientific Computing, pp. 25-38. 4th International Conference, LSCC 2003, Sozopol, Bulgaria, June 2003. Ivan Lirkov, Svetozar Margenov, Jerzy Wasniewski, Plamen Yalamov Eds.
  12. Algebraic Schwarz methods for the numerical solution of Markov chains. Linear Algebra Appl. 386, 67-81 (2004).
  13. Aggregation/disaggregation iterative methods applied to Leontev systems and Markov chains. Applications of Mathematics 47, No. 2, 139-156 (2002).
  14. Inexact solvers in Markov chain modeling. Submitted into NLA 2003. cc
  15. Inexact on coarse level aggregation/disaggregation algorithms for computing stationary probability vectors of stochastic matrices. Novosibirsk Journal of Math. 2002 Submitted.
  16. Quasi birth and death processes. Level geometric distributions. An aggregation/disaggregation approach. J. Comp. Appl. Math. Vol. 152 (2002) 788-799.
  17. Iterative aggregation/disaggregation for computing some characteristics of Markov chains. II. Fast convergence. Applied Numerical Mathematics 45, 11-28 (2003). Proc. IMACS 5, Heraklion, Greece, May 2001. Editor M. Vavalis.
  18. Iterative aggregation/disaggregation methods for Computing Some Characteristics of Markov Chains. Proc. Third International Conference on "Large-Scale Scientific Computations". Sozopol, June 1-6, 2001. Lecture Notes on Computer Science, Springer Verlag 2001. (Coauthor P. Mayer)
  19. Superconvergence results on mildly structured triangulations, Computer methods in Applied Mechanics and Engineering 189, 1-75 (2000). Couthors Lakhany A. M., Marek I., Whiteman J. R.
  20. aggregation/disaggregation methods for p-cyclic Markov chains, Computing [Suppl] 15, 133-150 (2001). (Coauthor P. Mayer).
  21. Iterative aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices can be finitely terminating, International Journal of Differential Equations Vol. 3, 301-313 (2001). (Coauthor P. Mayer).
  22. Comparison of convergence of general stationary iterative methods for singular matrices. SIAM J. Matrix Comp. 24, 68-77 (2002). (coauthor D. Szyld).
  23. Stiemke theorem as a tool for some mathematical models of economics. Acta Univ. Carol. Ser. Math. Phys. 43 Nr. 1, 13-29, 2002 (coauthor T. Hoerová).
  24. Κ-inverse positivity. Appl. Math.2000. (coauthor T. Hoerová)
  25. Existence and uniqueness results for nonlinear cooperative systems. Operator Theory: Advances and Applications, Vol. 130 (2001), 153-170. Collection of papers celebrating the seventieth birthday of Professor Peter Lancaster. Birkhäuser Verlag, Basel 2001. Editor H. Langer. (Coauthor Erich Bohl).
  26. Comparison theorems for the convergence factor of iterative methods for singular matrices. Linear Algebra Appl. 316, 67-87 (2000). (Coauthor Daniel Szyld).
  27. Cooperative systems and some of their applications. Acta Univ. Carol., 1998. (Coauthor Tatjana Hoerová).
  28. Convergence theory of a class of aggregation/disaggregation iterative methods for computing stationary probability vectors of stochastic matrices. Linear Algebra Appl. 363 177-200, (2002). (Coauthor P. Mayer).
  29. Monotony of solutions to some difference and differential equations. An application of the Krein-Schaefer Spectral Radius Theorem. Submitted for publication 1998. (Coauthor Jozef Bobok).
  30. A stability theorem for a class of linear evolution systems. Integral Equations and Operator Theory 34, 251-269 (1999). (Coauthor E. Bohl).
  31. A theory of Κ-non-negative operators whose peripheral spectrum is formed by poles of the resolvent operator. In Proc. Collection of Papers. Congratulations on Professor K. Rektorys' birthday. ČVUT Stavební fakulta, Editor V. Kelar, Praha 1998, pp. 7-20. (Coauthor E. Bohl).
  32. Některé aspekty matematických modelů ve školské politice. in Proc. Development of Careers Service at Czech Universities in the frame of TEMPUS-PHARE No. CME-021121-96, Olomouc 1997, pp. 175-177.
  33. Convergence analysis of an aggregation/disaggregation iterative method for computation stationary probability vectors of stochastic matrices. Numerical Linear Algebra With Applications 5, 253-274 (1998) (coauthor P. Mayer).
  34. Some remarks on the Barrier lemma. Numerical Linear Algebra With Applications 2, 431-445, (1995).
  35. A model of amplification. J. Comp. Appl. Math. 63, 27-47 (1995). as Proc. Modelling'94, Editor J. Nedoma (coauthor E. Bohl).
  36. An aggregation/disaggregation iterative method for computing stationary probability vectors of Markov type operators. Mathematics and Computers (with applications) 31, 27-40 (1996). Proc. 4. Symposium "On Numerical Methods" in Miskolc, 1994. Editor P. Rosza. (Coauthor P. Mayer).
  37. Global convergence of an aggregation/disaggregation iterative method for computing stationary probability vectors of stochastic matrices. ZAMM 75 S649-S650, (1995). (Coauthor P. Mayer).
  38. Collatz-Wielandt numbers and local spectral radii. Linear Algebra and Its Applications, 1994.
  39. A nonlinear model involving M-operators. An amplification effect measured in the cascade of vision. J. Appl Comp. Math. 60, 13-28 (1995). (Coauthor E. Bohl).
  40. On square roots of M-operators. Linear Algebra and Its Applications 223-224, 501-520, 1995.
  41. Local convergence of the (exact and inexact) iterative aggregation method for linear systems and Markov operators. Numer. Math. 69, 61-83, (1994), (Coauthor D. Szyld).
  42. Iterative and semi-iterative methods of computing stationary probability vectors of K-Stochastic operators. Math. Comp. 204, 719-731, (1993). (Coauthor D. Szyld).
  43. Pseudoirreducible and pseudoprimitive bounded operators. Linear Algebra and Its Applications 154-156, (1991), 779-792, (Coauthor D. Szyld).
  44. Iterative and semiiterative methods of solving general systems of linear algebraic equations. Proc. Summer School Software and Algorithms of Numerical Mathematics, Písek 1989. Editor I. Marek.
  45. Collatz-Wielandt numbers in general partially ordered Banach spaces. Linear Algebra and Its Applications 173, 165-180, (1992).
  46. Comparison theorems for weak splittings of bounded operators. Numer. Math. 58 (1990), 387-397, (Coauthor D. Szyld).
  47. Splittings of M-operators, irreducibility and the index of the iteration operators. Numerical Functional Analysis and Optimization 11 (1990), 529-553, (Coauthor D. Szyld).
  48. On the solution of singular linear systems of algebraic equations by semi-iterative methods. Numer. Math. 53 (1988), 265-283, (Coauthors M. Eiermann and W. Niethammer).
  49. Equivalence of Κ-irreducibility concepts. Comment. Math. Univ. Carol. 25 (1984), Nr. 1, 61-72, (Coauthor K. Žitný).
  50. Perron root of a convex combination of a positive linear map and its adjoint. Linear Algebra and Its Applications 58 (1984), 185-200.
  51. Two-sided bounds for the spectral radius of Κ-positive linear map. ZAMM 64 (1984), H11, 457-461, (Coauthor K. Žitný).
  52. Once more about the monotonicity of the Temple quotients. Apl. mat. 29 (1984), 459-468, (Coauthor D. Janovská).
  53. Two-sided spectral bounds of two indecomposable linear maps. Linear Algebra and Its Applications 52/53 (1983), 185-200, (Coauthor K. Žitný).
  54. Pseudoinverse operators and their spectral theory. (in Czech). Proc. Institute of Chemical Technology R4 (1981), 113-126, (Coauthor K. Žitný).
  55. Numerical solution of nonlinear equations by one-parameter imbedding methods. Numerical Functional Analysis and Optimization 3 (1981), 223-264, (Coauthors M. Holodniok and M. Kubíček).
  56. Fundamental decay mode and asymptotic behaviour of positive semigroups. Czech. Math. Journ. 30 (1980), 579-590.
  57. Asymptotic behaviour of solutions of the homogenous transport equation. (in Russian). Diff. Equations. Editor S. K. Godunov, Nauka, Novosibirsk 1980, 181-186.
  58. Perron root of a convex combination of a positive kernel and its adjoint. Acta Univ. Carol. Ser. Math. Phys. 19 (1978), Nr. 1, 3-14.
  59. Relaxation lengths and nonnegative solutions in the neutron transport theory. (in Russian). Dokl. Akad. Nauk USSR 228, (1976), Nr. 2, 297-299 (coauthor J. Kyncl).
  60. On some problems in neutron transport theory. Proc. Equadiff IV, Prague 1977, Springer Lecture Notes in Mathematics 705, 224-232, (Coauthor J. Kyncl).
  61. Lusternik acceleration and extrapolation of the SOR method. Apl. mat. 22 (1977), 116-133, (Coauthor J. Zítko).
  62. Relaxation lengths and nonnegative solutions in neutron transport. Apl. mat. 22 (1977), 1-13, (Coauthor J. Kyncl).
  63. To the analysis of Marx's economical theory. (in Czech). Politická ekonomie XXIV (1976), 711-722, (Coauthor H. Burešová).
  64. Fredholm points of compactly perturbed bounded linear operators. Acta Univ. Carol. Ser. Math. Phys. 17 (1976), Nr. 1, 65-72.
  65. K. Marx and mathematical economics. (in Czech). Acta Univ. Carol. Ser. Oeconomica XI, (1975), Nr. 2, 117-124, (Coauthor H. Burešová).
  66. A reduction method for approximate solving of a class of large elliptic eigenvalue problems. Beiträge zur Numer. Math. 4 (1975), 33-41, (Coauthors L. Boubelíková and J. Neuman).
  67. Finite element reactor criticality calculations. Wissenschaftliche Schriftenreihe der TH Karl Marx-Stadt. 5. Tagung Über Probleme und Methoden der Mathematischen Physik, Heft 3, (1975), 532-566.
  68. An inequality involving positive kernels. Čas. pěst. mat. 99 (1974), 77-87.
  69. A reduction method for an approximate solving large elliptic systems. Acta Univ. Carol. Math. Phys. Ser. 15 (1974), Nr 1/2, 97-102.
  70. On a class of convergent matrices. Acta Polytechnica IV, (1973), Nr. 7, 13-16.
  71. Relaxation lengths and non-negative solutions in neutron transport. Proc. Equadiff III, 227-234, Brno 1972, (Coauthor J. Kyncl).
  72. The SOR method with an automatic choice of the optimal parameter. (in Czech). Collection of papers of the Czech. Institute of Technology, Prague (1971), 201-209.
  73. A note on Κ-stochastic operators. Čas. pěst. mat. 96 (1971), 239-244.
  74. Approximations of the principal eigenelements in Κ-positive non self-adjoint eigenvalue problems. Math. Systems Theory 5 (1971), 204-215.
  75. Frobenius theory of positive operators. Comparison theorems and applications. SIAM J. Appl. Math. 19 (1970), 607-628.
  76. On a method of D. Marsal for equations with positive operators. Apl. mat. 15 (1970), 413-417.
  77. A contribution to the theory of positive operators. Comparison theorems. Math. Systems Theory 4 (1970), 46-59.
  78. Nested bounds for the spectral radius. Numer. Math. 14 (1969), 49-70, (Coauthor R. S. Varga).
  79. On the row sum criterion and the convergence of some iterative processes. Numer. Math. 13(1969), 207-216.
  80. Polynomial eigenvalue problem with Κ-positive operators. Apl. mat. 14 (1969), 146-159.
  81. On the SOR method for solving linear equations in Banach spaces. Wisseschaftliche Zeitschrift der TH Karl Marx-Stadt XI, (1969), Heft 3, 335-341.
  82. On the row sum condition and the convergence of iteration processes. Comment. Math. Univ. Carol. 9 (1968), Nr. 1, 165-172.
  83. Some numerical methods of solving neutron transport problems. (in Russian). Proc. 3. Kazach. Scientific Conference on Mathematics and Mechanics, 153-157. Alma-Ata 1967.
  84. Spectral radius of irreducible positive operators. (in Russian). Dokl. Akad. Nauk USSR 176 (1967), Nr. 5, 1009-1011.
  85. Generalized min-max principle for irreducible operators. (in Russian). Dokl. Akad. Nauk USSR 176 (1967), Nr. 4, 780-782.
  86. A note on the min-max principle for Κ-positive operators. Comment. Math. Univ. Carol. 8 (1968), Nr. 2, 311-314.
  87. u0-positive operators and some of their applications. SIAM J. Appl. Math. 15 (1968), 484-494.
  88. An infinite dimensional analogue of R. S. Varga's lemma. Comment. Math. Univ. Carol. 8 (1968), Nr. 1, 27-38.
  89. Approximate determining spectral radius of an irreducible positive linear map. Apl. mat. 12 (1967), 352-363.
  90. On approximate methods in eigenvalue problems. (in Czech). Čas. pěst. mat. 92 (1967), 89-104.
  91. König's theorem and a proof of convergence of the Kellogg's iteration sequence. (in Czech). Čas. pěst. mat. 92 (1967), 29-41 (coauthor Z. Groschaftová).
  92. Positivität und kritischer Zustand. Proc. 3. Tagung Über Probleme und methoden der Mathematischen Physik, 191-205, Karl Marx-Stadt 1966.
  93. On the min-max principle for Κ-positive operators. Comment. Math. Univ. Carol. 7 (1967), Nr. 1, 109-112.
  94. Matrices with positive elements and criticality of nuclear reactors. (in Czech). Pokroky matematiky, fyziky a astronomie XI (1966), 121-134.
  95. On a problem of mathematical physics. Apl. mat. 11 (1966), 89-112.
  96. Spektrale Eigenschaften der Κ-positiven Operatoren und Einschliessungssätze für den Spektralradius. Czech. Math. Journ. 16 (1966), 493-517.
  97. On Lusternik method of improving convergence of non linear iterative sequences. Comment. Math. Univ. Carol. 6 (1967), Nr. 3, 375-380.
  98. A mathematical evaluation of oxygen consumption during a physical exercice and recovery. Physiologica Bohemoslovenica 14 (1965), 201-205. (Coauthors V. Brodan and J. Kuhn).
  99. A principle of dehomogenisation for eigenvalue problems. Comment. Math. Univ. Carol. 6 (1985), Nr. 2, 199-210.
  100. Approximate solution of non-symmetric eigenvalue problems. (in Russian). Apl. mat. 10 (1965), 268-271.
  101. On Κ-positive elements of the spectral resolution of Κ-positive operators. Čas. pěst. mat. 90 (1965), 442-450.
  102. On the existence and approximate construction of characteristic values of cyclic systems of operator equations. (in Czech). Čas. pěst. mat. 89 (1964), 449-465.
  103. Chain reaction with the fast neutrons in an enriched uranium. II. Numerical Analysis. (in Czech). Apl. mat. 9 (1964), 294-305.
  104. On approximate construction of eigenvectors corresponding to a pair of complex conjugated eigenvalues. Matematicko-Fyzikálny Časopis 14 (1964), 277-288.
  105. Über einen speziellen Typus der linearen Gleichungen im Hilbertschen Raume. Čas. pěst. mat. 89 (1964), 153-172.
  106. A note on Κ-positive operators. Comment. Math. Univ. Carol. 4 (1963), Nr. 4, 137-146.
  107. Kellogg's iterations with minimizing parameters. Comment. Math. Univ. Carol. 4 (1963), Nr. 2, 53-64.
  108. Some mathematical problems of the nuclear reactor theory on fast neutrons. (in Russian). Apl. mat. 8 (1963), 442-470.
  109. Chain reaction with the fast neutrons in an enriched uranium medium. (in Czech). Apl. mat. 8 (1963), 152-167.
  110. On an approximate solution of integral equations. Comment. Math. Univ. Carol. 3 (1962), Nr. 4, 48-66.
  111. Neutron transport theory in multigroup energy approximation. Comment. Math. Univ. Carol. 3 (1962), Nr. 3, 3-13.
  112. Some spectral properties of Radon-Nikolskii operators and their generalizations. Comment. Math. Univ. Carol. 3 (1962), Nr. 1, 20-30.
  113. On a method of acceleration convergence of iterative processes. (in Russian). Journal of Comp.Math.and Math. Physics 2 (1962), 963-971.
  114. Iterations of linear bounded operators and Kellogg's iterations in non self-adjoint eigenvalue problems. Czech. Math. Journ. 12 (1962), 536-554.
  115. A remark on linear operators leaving a cone invariant in a Banach space. Comment. Math. Univ. Carol. 2 (1961), Nr. 4, 10-16.
  116. A method of improving the convergence of iteration sequences. Comment. Math. Univ. Carol. 2 (1961), Nr. 4, 6-9.
  117. C-convergence of iterations of bounded linear operators. Comment. Math. Univ. Carol. 2 (1961), Nr. 4, 22-24.
  118. Further applications of iterations of linear bounded operators in non self-adjoint eigenvalue problems. Comment. Math. Univ. Carol. 2 (1961), Nr. 3, 13-23.
  119. Iterations of bounded linear operators and Kellogg's iterations in non self-adjoint eigenvalue problems. Comment. Math. Univ. Carol. 1 (1960), Nr. 4, 12-21.
  120. To the problem of anomalous equations of particles having spin 1/2. (in Russian). Journal of Theoretical and Experimental Physics 37 (1960), 1482-1484. (Coauthor I. Úlehla).
  121. Matrix methods in the multigroup neutron diffusion theory. (in Czech). Apl. mat. 3 (1958), 141-149.
  122. Solution of equations for the motion of an electron in a homogeneous time dependent magnetic field. (in Czech). Apl. mat. 2 (1957), 69-73.
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Proceedings and refereed collections

  1. Numerické řešení problému průhybu desky: Některé problémy matematického mopdelování a jejich počítačových realizací. Sborník 29. konference VŠTEZ, Mutěnice 4.-8. září 2006, pp. 137-146. Vydavatel JČMF.
  2. Convergence of aggregation/disaggregation iterative methods in presence of cyclic spectra. Proc. Seminar of Applied Mathematics SAMO'06, TU VSB Ostrava, Ostravice, September 2006, pp. 35-36.
  3. Convergence of aggregation/disaggregation iterative processes for cyclic matrices. An application to the Google search engine. Proc. XV Summer School Software and Algorithms of Numerical Mathematics, Srní, September 2005. Editor I. Marek.
  4. Numerické řešení některých okrajových úloh s biharmonickou rovnicí. Proc. 4. Workshop of VUT Brno, October 2005. Editor J. Diblík.
  5. Numerické řešení některých okrajových úloh s biharmonickou rovnicí. Proc. of the Seminar on Applied Mathematics on the occasion of the 100th anniversary of prof. František Vyčichlo. Praha, April 2005. Editor P. Kučera.
  6. Agregační variace na Googleovskou matici. Proc. Summer School "On Dynamic Systems", Herbertov September 2005, p. 114-120 (2005).
  7. Google search engine: Some of its mathematical aspects. Proceedings Workshop'04, Faculty of Civil Engineering, VUT Brno, November 11, 2004, pp. 73-74. Editors J. Diblík a J. Vala.
  8. Algebraic analysis of Schwarz methods for singular systems. Submitted Porc. Conf. Domain Decomposition methods, Berlin 2003. (Coauthor D. Szyld).
  9. Vědecko-technické výpočty: nový obor a jeho výuka. Sborník VŠTEZ, Liberec 2002, str. 219-225. Editor J. Černý.
  10. Kladnost: Od matic k operátorům reprodukujícím kužel v Banachově prostoru. Proceedings of the Symposium "On Oscillations", Herbertov, September 2003. Editor L. Herrmann. (in Czech).
  11. Mathematical modeling of banking crises. Proc. IDIMT'2000 8th Interdisciplinary Information management Talks, Zadov September 20-22 2000, pp. 43-55. Editors Susanne Hofer, Manfred Benedr. Universitätsverlag Rudolf Trauner. (Coauthor M. Hoerová)
  12. Aggregation/disaggregation in analysis and numerics of some Markovian models. Proc. SANM'99, University of West Bohemia, Nečtiny September 1999, 95-112. (Coauthor T. Hoerová).
  13. Cooperative systems: Model and computational aspects. Proceedings of RUFIS'98 Role of universities in the Future Society. Technical University Liberec, September 1998. (Coauthor T. Hoerová).
  14. Some comments on mathematical modeling of some problems of the school; system with an emphasis on the university students. Proceediongs of the Workshop TEMPUS-PHARE Developments of Careers Services at Czech Universities. Prague, September 1998, pp. 216-223.
  15. Some iterative methods for computation of stationary probability vectors of nonlinear Markov type operators. Motivated by an amplification effect measured in the cascade of vision. Proceedings of the International Workshop on the Recent Advances in Applied Mathematics (RAAM'96), 345-356, State of Kuwait, Kuwait City, May 1996.
  16. An iterative method for computing square roots of a class of matrices. Collection of Papers. Congratulations on Professor K. Rektorys' birthday. České Vysoké Učení Technické, Stavební fakulta, pp. 68-78. Editor V. Kelar, Praha 1998.
  17. A homogenization method for boundary value problems satisfying maximum principle. Proc. SANM'95, Železná Ruda, September 1995. Editor J. Křížková.
  18. An aggregation method for computing stationary probability vectors. (in Czech), Proc. Summer School "Algorithms", Bratříkov 1994, p. 141 - 145. Editor P. Přikryl. (Coauthor P. Mayer).
  19. Iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic operators. Proc. SANM'93, Cheb 1993. Editor Západočeská Univerzita Plzeň, p. 65-111.
  20. Aggregation methods of computing stationary distributions of Markov processes. Proc. Symposium On Eigenvalue Problems, Oberwolfach 1990. Internationale Series of Numerical Mathematics, Vol. 96, Birkhäuser, Basel 1990, 155-169. Editors J. Albrecht and W. Velte.
  21. On semiiterative methods of solving singular linear systems. Proc. Symposium Algorithms '87', 196-202, Vysoké Tatry 1987. Editor F. Kľuska.
  22. Data fitting under eigenvalue constraints. Proc. 9. Tagung Über Probleme und Methoden der Mathematischen Physik, 159-166. Karl Marx-Stadt 1988. Editors F. Kuhnert and B. Silbermann. (Coauthor V. Lelek).
  23. Generalized Ljapunov-Schmidt reduction and its numerical significance. Proc. ISNA '87', Prague 1987. Teubner Texte zur Mathematik B. 107, 194-198. Teubner Verlag, Leipzig 1988. Editor I. Marek. (Coauthor V. Janovský).
  24. On semiiterative methods for the solution of singular linear systems. Proc. ISNA '87', Prague 1987. Teubner Texte zur Mathematik B. 107, 194-198, Teubner Verlag, Leipzig 1988. Editor I. Marek. (Coauthors M. Eiermann and W. Niethammer).
  25. Aggregation and homogenization in reactor diffusion. Proc. ISAM '86', Math. Research, Vol. 36, Springer Verlag. Editors E. Adams, R. Ansorge, C. Grossmann and H. G. Roos, 145-154.
  26. Bifurcation analysis of stimulated Brillouin scattering. Proc. Equadiff VI, Brno 1986. Editor J. Vosmanský. (Coauthors V. Janovský and J. Neuberg).
  27. A note on three-term recurrences. Proc. ISNA '85', Madrid 1985, North Holland, 235-240. Editor E. Ortiz. (Coauthor K. Žitný).
  28. Iterative methods for singular linear systems. Proc. ISNA '85', Madrid 1985, North Holland, 31-43. Editor E. Ortiz.
  29. A two-level approximation scheme for solving linear equations in Banach spaces. Proc. Symposium Algorithms '85'. Editor F. Kľuska, Vysoké Tatry 1985.
  30. Multi-level methods of solving problems of mathematical physics. (in Czech). Proc. Symposium On Numerical Methods in Physical Metallurgy, Blansko 1985, 65-75. Editor J. Hřebíček.
  31. Numerical methods for boundary value problems with nonsmooth solutions. Proc. Algorithms '83'. Editor F. Kľuska, Vysoké Tatry 1983, 192-199.
  32. Rational approximations of semigroups. (in Czech). Proc. Symposium On Numerical Methods and Graph Theory. Editor P. Galajda, Institute of Technology Košice 1982, 16-26. (Coauthor A. Huťa).
  33. Maxwell equations with incident waves as a field source. Proc. Symposium On Non-Well Posed Problems and Their Numerical Treatment. Editors G. Hofmann and G. Hämmerlin, Basel 1981. (Coauthors V. Janovský and J. Neuberg).
  34. Maxwell equations with incident waves as a field source. Proc. Equadiff V. Editor M. Greguš, Bratislava 1981, 237-240. (Coauthors V. Janovský and J. Neuberg).
  35. Some problems of iterative methods with rectangular matrix. (in Czech). Proc. Symposium Algorithms '81'. Editor F. Kľuska, Vysoké Tatry 1981, 161-172. (Coauthor K. Žitný).
  36. Maxwell equations with incident waves as a field source. (in Russian). Proc. Seventh Soviet-Czechoslovak Symposium On Applications of Functional Analysis in Problems of Mathematical Physics and Numerical Mathematics, Yerevan 1981, Nr. 3, 223-264. (Coauthors V. Janovský and J. Neuberg).
  37. Homogenization in neutron diffusion. Numerische Behandlung von Eigenwertaufgaben. Editors J. Albrecht and L. Collatz, Band 2, Birkhäuser 1979, 113-126.
  38. Homogenisation method for solving problems with highly oscillating data. (in Czech). Proc. 5th Symp. Algorithms '79', Vysoké Tatry 1979, 62-68. Editor F. Kľuska.
  39. Bifurcation in reactor-diffusion systems. Proc. Summer School on Theory of Nonlinear Operators. Abhandlungen der Akademie der Wissenschaften der DDR, Abteilung Mathematik, Berlin 1978, Nr. 6, 117-128. (Coauthors M. Kubíček and M. Marek).
  40. Homogenisation in problems with oscillating data. Proc. Fourth Symposiumn On Basic problems of Numerical Mathematics. Editor I. Marek, Pilsen 1978, 133-139.
  41. Some aspects of homogenisation. Proc. Symp. on Mathematics of Finite Element Method and Applications. Editor J. R. Whiteman, Uxbridge 1978, 359-364.
  42. Fredholm points of compactly perturbed bounded linear operators. Proc. of the Fourth Symposium on General Topology and Its Relations to Analysis and Algebra, JCSMF Edition Vol. 8, Prague 1976, 268-275.
  43. Tensor products in variational-difference methods of solving spectral problems of mathematical physics. (in Russian). Proc. Variational-Difference Methods in Problems of Mathematical Physics, Editor G. I. Marchuk, Novosibirsk 1976, 34-48.
  44. The finite element method in the SH-wave propagation calculations. Proc. Summer School on Applications of Computational Methods in Geophysics. Editor J. Nedoma, Liblice 1972, 31-37. (Coauthor J. Nedoma).
  45. On a method of approximate solving of nonsymmetric spectral problems.(in Russian). Proc. Symp. Applications of Functional Analysis to Problems of Mathematical Physics. Editor G. I. Marchuk, Novosibirsk 1971, 140-149.
  46. Stabilität der Prozesse von Kelloggschen Typus. Proc. Symp. Basic Problems of Numerical Mathematics. Liblice 1967.
  47. Iterations of linear bounded operators and Kellogg's iterations. Proc. Topol. Symp. Academia, Prague 1961, 267-269.
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Scientific Research Reports

  1. Comparison theorems for the convergence factor of iterative methods for singular matrices. Technical Report 99-3-10 Temple University, Philadelphia 1999. (Coauthor D. Szyld).
  2. Convergent iterative methods for constructing stationary distributions of Markov processes. Technical Report Nr. CS-1990, Department of Computer Science, Duke University, Durham 1990. (Coauthor D. Szyld).
  3. Pseudo-irreducible and pseudo-primitive bounded operators. Technical Report Nr. CS-1989, Department of Computer Science, Duke University, Durham 1989. (Coauthor D. Szyld).
  4. Comparison theorems for weak splittings of bounded operators. Technical Report Nr. CS-1989-9, Department of Computer Science, Duke University, Durham 1989. (Coauthor D. Szyld).
  5. Splittings of M-operators: irreducibility and the index of the iteration operator. Technical Report Nr. CS-1989-7, Department of Computer Science, Duke University, Durham 1989. (Coauthor D. Szyld).
  6. To the reconstruction of plans of the study of mathematics on the Faculty of Mathematics and Physics. (in Czech). Technical Report Nr. 0105 099, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1988.
  7. Mathematics and contemporary science. (in Czech). Technical Report Nr. 0105 098, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1988.
  8. Methods of mathematics and the world opinion. (in Czech). Technical Report Nr. 0105 064, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1984.
  9. An optimization problem of reactor physics. (in Czech). Technical Report Nr. 0105 062, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1984.
  10. Maxwell equations with incident waves as a fields source. Mathematical and numerical analysis. Technical Report Nr. 0105 057, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1981. (Coauthors V. Janovský and J. Neuberg).
  11. Two-sided spectral bounds of two indecomposable linear maps. Technical Report Nr. 8133, Institute of Mathematics, Nijmegen University, 1981.
  12. Iterative methods of solving linear systems with rectangular matrix. Technical Report Nr. 8132, Institute of Mathematics, Nijmegen University , 1981.
  13. Iterative methods of solving systems of linear equations with rectangular matrix. Proc. Summer School Software and Algorithms of Numerical Mathematics, 63-95, Nové město na Moravě, 1979.
  14. Asymptotic behaviour of solutions of the homogeneous transport equation. Technical Report Nr. 0105 036, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1978.
  15. Homogenization in neutron diffusion. Technical Report Nr. 0105 035, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1978.
  16. Fundamental decay mode and asymptotic behaviour of positive semigroups. Technical Report Nr. 9/78 BICOM Brunel University, Uxbridge, 1978.
    See also Technical Report Nr. 0105 034, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1978.
  17. Some aspects of homogenization. Technical Report Nr. 8/78 BICOM Brunel University, Uxbridge, 1978.
  18. Fredholm points of compactly perturbed bounded linear operators. Technical Report Nr. 0105 024, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1976.
  19. Numerical methods of solving boundary value problems of Mathematical Physics and Technics. Technical Report Nr. 0105 026, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1976.
  20. On some methods of approximate solving Fredholm integral equations of the first kind. (in Czech). Technical Report Nr. 0105 025, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1976.
    Also in Proc. Symposium Software and Algorithms of Numerical Mathematics, 43-78, Zadov 1976.
  21. On the solution of Fredholm integral equations of the first kind by selection of the best determined terms. Technical Report Nr. 0105 023, Prague 1976.
    Also in Proc. Symposium Non-Well Posed Problems, Linköping 1977. (Coauthors J. Cífka and O. Pokorná).
  22. Maximum principle in numerical analysis of boundary value problems. Technical Report Nr. 0105 022, Prague 1975.
    Also in Proc. Symposium Numerical Methods and Graph Theory, Vysoké Tatry 1976.
  23. Some methods of approximate solving Fredholm integral equations of the first kind. (in Czech). Technical Report Nr. 0105 020, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1975.
    See also Proc. of the Symposium Algoritmy '75', Vysoké Tatry 1975.
  24. Lusternik acceleration and extrapolated SOR method. Technical Report Nr. 54/75 BICOM, Brunel University, Uxbridge 1975. (Coauthor J. Zítko).
  25. On Fredholm points of compactly perturbed self-adjoint operators. Technical Report Nr. 0105 0012, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1974.
  26. Investigation of SH-waves propagation in layered media with local nonhomogeneities by finite element methods. Technical Report Nr. 0105 009, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1974. (Coauthor J. Nedoma).
  27. A reduction method for a class of elliptic eigenvalue problems. Technical Report Nr. 0105 008, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1974. (Coauthors L. Boubelíková and J. Neuman).
  28. On some problems of optimization of nuclear reactor systems. Technical Report Nr. 0105 007, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1974.
  29. An inequality involving positive kernels. Technical Report Nr. 0105 006, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1973.
  30. A reduction method for approximate solving large elliptic systems. Technical Report Nr. 0105 003, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1973.
  31. Perron roots of convex combinations of cone preserving transformations and their adjoints. Technical Report Nr. 0105 002, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1973.
  32. Finite element reactor criticality calculations. Technical Report Nr. 0105 001, katedra numerické matematiky na matematicko-fyzikální fakultě University Karlovy, Prague 1972.
  33. Approximations of the pricipal eigenelements in K-positive non self-adjoint eigenvalue problems. Technical Report Nr. 1094, Mathematics Research Center, University of Wisconsin, Madison, Wisconsin 1970.
  34. Chain reaction on fast neutrons in a layered slab lattice. (in Russian). Technical Report Nr. 2415, Joint Institute of Nuclear Research, Dubna 1965. (Coauthors J. Čermák and M. Grmela).
  35. Some iterative methods for construction of solutions of neutron transport equation. Third Conference On Peaceful Use of Atomic Energy, Geneve 1964. Vol. 2, 92-95, New York 1964.
  36. Chain reaction on fast neutrons in a layered mesh medium. Technical Report Nr. 971, Nuclear Research Institute, Řež u Prahy 1963.
  37. Chain reaction on fast neutrons. (in Russian). Third International Symposium On Physics and Technics of Research Nuclear Reactors, Prague 1963; Jaderná energie IX (1963), Nr. 7, 234.
  38. Positivity of a neutron flux and the criticality of a nuclear reactor. (in Czech). Technical Report Nr. 454, Nuclear Research Institute, Řež u Prahy 1957.
  39. To the problem of a critcal mass. (in Czech). Technical Report Nr. 139, Nuclear Research Institute, Řež u Prahy 1957.
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Popularization of Mathematics, Evaluation and Laudationes

  1. Prof. RNDr. Miloš Zlámal, DrSc. - světový průkopník matematické teorie konečných prvků. Sborník VUT Brno vydaný u příležitosti 80. výročí nedožitý narozenin Prof. Miloše Zlámala. 2005
  2. An international symposium on "Mathematical and Computer Modeling in Science and Technology". Honouring Professor Karel Rektorys' eighties. Appl. Math. 2003.
  3. Professor Karel Rektorys' 80th anniversary of his birth. Laudatio Appl. Math. 2003.
  4. An introduction of Professor Owe Axelsson and Professor Miloš Zlámal. Journal of Computational and Applied Mathematics 63, 5-8 (1995).
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Invited lectures

2008 Tutorial lecture in the frame of the Seminar on Applied Linear Algebra SNA'08, Liberec, January, 2008
"Iterative Aggregation/Disaggregation Methods as Efficient Tools of Stochastic Modeling"
2007 Invited lecture Low rank perturbed stochastic matrices and iterative aggregation/disaggregation methods in presence of cyclicity addressed to the Symposium Retrieval Web sites, Dagstuhl, Germany, February 2007.
Invited lecture Convergence of aggregation/disaggregation iterative methods in presence of cyclicity in the Seminar of Applied Mathematics at the University of Technology Hamburg-Harburg, Harburg, October 2007.
2006 Invited lecture addressed to Symposium devoted to the 80th anniversary of the birth of Ivo Babuška entitled Computing plates and some related topics, Prague May, 2006.
Invited lecture in the Symposium A Linear Algebra Afternoon, Uppsala, June 2006
Computing stationary probability vectors of Markov chains with cyclic spectra
2005 Public lecture at the Technical University Ostrava, Czech Republic
"Google search engine: Some of its mathematical aspects"
Section lecture addressed to the International Conference Algorithms'05, Podbanské, Slovakia
"Google search engine: Some of its mathematical aspects"
Invited lecture addressed to the Seminar on Applied Mathematics held on the occasion of the one hundred year anniversary of the birth of Professor František Vyčichlo, Czech technical University, Prague
"On some boundary value problems for the biharmonic equation and its discretizations"
Invited lecture on the IV. Workshop on Mathematical Problems in Engineering, Brno, October 20, 2005
"On some boundary value problems with biharmonic equation"
Seminar lecture in the Seminar of Applied Mathematics, Technical University Hamburg-Harburg, Germany, Chairman H. Voss
"On some boundary value problems for the biharmonic equation and its discretizations"
2004 Main lecture addressed to Minisymposium "On search engines" as a part of the ILAS'04 Meeting in Coimbra Portugal, Main orgnizers S. Kirkland and I. Ipsen
"Google search engine: Some of its mathematical aspects"
Seminar lecture in the Seminar of Practical Mathematics, University Karlsruhe, Germany, Chairman W. Niethammer
"Google search engine: Some of its mathematical aspects"
2003 Workshop on Numerical methods for linear/nonlinear equations, Sozopol, Bulgaria, S. Margenov
"Schwarz methods for solving evolution problems in modeling cell Biology"
2002 Workshop on Numerical methods for large scale linear systems, TU Harburg, Hamburg, Germany
"Some efficient two-level methods for computing stationary probability vectors of general stochastic matrices"
2001 Seminar lecture at the Japan Advanced Studies T. (JAIST), Kanazawa, prof. M. Vlach
"Aggregation/disaggregation iterative procedures in Markov Chain modeling"
3rd Japan-Czech Workshop On Computational Methods in Applied Sciences, Tokyo, Chairmen: K. Tanabe and I. Marek
"Aggregation techniques in Markov chains models"
Workshop on Numerical methods for linear/nonlinear equations, Ehime University, Matsuyama, Prof. T. Yamamoto
"Comparison theorems for convergence factor of iterative methods for singular systems"
"Aggregation methods in Markovian models"
5th IMACS Workshop on Iterative Methods of Solving Linear Systems, Heraklion, Forth, Crete, A. Hadjidimos
"IAD methods for computing stationary probability vectors of stochastic matrices"
Workshop on Numerical methods for linear/nonlinear equations, Sozopol, Bulgaria , S. Margenov
"IAD methods for computing some characteristics of Markov chains"
2000 Seminar lecture in the Seminar of Numerical Linear Algebra, Universität Karlsruhe, Prof. Dr. W. Niethammer, Karlsruhe
"Aggregation/disaggregation iterative methods for p-cyclic Markov Chains"
Oberwolfach M-matrix Workshop lecture, Oberwolfach, Chairmen: V. Mehrmann, D. Hershkowitz and H. Schneider
"Aggregation/disaggregation iterative procedures in Markov Chain modeling"
1999 Japan-Czech Workshop "On Numerical Methods for Applied Sciences", Tokyo, March 1999
"Comparison theorems for the convergence factor of iterative methods for singular systems"
Seminar lecture in the Seminar of Linear Algebra, Sektion Mathematik University Bielefeld, Bielefeld, June 1999
"Comparison theorems for the convergence factor of iterative methods for singular systems"
Address to the 13th Summer School Software and Algorithms of Numerical Mathematics, Nečtiny, September 1999
"Fast convergence of algorithms for computation of stationary probability vectors of stochastic matrices"
Seminar lecture in the Seminar of Numerical Linear Algebra, Institut für Praktische Mathematik, Universität Karlsruhe, Karlsruhe, October 1999
"Fast convergence of algorithms for computation of stationary probabvilty vectors of stochastic matrices"
Seminar lecture in the Seminar of Numerical Linear Algebra, ETH Zürich, Mathematisches Institut (Prof. M. Gutknecht), Zurich, October 1999
"Convergence analysis of some aggregation/disaggregation iterative procedures for computation of the stationary probability vectors of stochastic matrices"
Seminar lecture in the Seminar of Numerical Linear Algebra, MU Brno, Katedra aplikované matematiky (Prof. J. Horová), Brno, November 1999
"Convergence analysis of some aggregation/disaggregation iterative procedures for computation of the stationary probability vectors of stochastic matrices"
1997 Seminar lecture in the Seminar of Linear Algebra, Sektion Mathematik, Bielefeld, April 1997
"Aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices"
1996 Colloquium lecture on the occasion of the retirement of Professor Dr. R. Ansorge, Hamburg, April, 1996
"Warum ist die numerische Lösung linearer Gleichungssysteme auch heute interessant?"
1995 University Hamburg, Hamburg, Germany
"Aggregation/disaggregation iterative and other multi-level methods"
ICIAM'95, Hamburg, Germany
"To the problem of computing all stationary probability vectors of parameter dependent stochastic matrices"
IWOTA'95, Regensburg, Germany
"An amplification model and the cascade of vision"
1994 Brunel University, Uxbridge, England UK
"Parameter dependent diffusion systems"
K. Zuse Institute, Berlin, Germany
"Modelling the cascade of vision"
Marburg University, Marburg, Germany
"A nonlinear model involving M-operators"
Symposium On Numerical Methods, Miskolc, Hungary
"On some effective methods for computing stationary probability vectors of stochastic matrices"
Modelling'94, Praha, Czech Republic
"A model of amplification"
1993 Matsuyama University, Matsuyama, Japan
"A nonlinear model involving M-operators"
Summer School Software a Algoritmy Numerické Matematiky, Cheb
"Iterative aggregation/disaggregation methods"
Ústav informatiky a výpočetní matematiky AV ČR, Praha
"Iterative and semiiterative methods of solving singular systems", Series of lectures
Konstanz University, Konstanz, Germany
"Iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic operators"
1992 Symposium On Computational Methods in Problems of Mathematical Physics and Mechanics, Moscow, Russia
"Data identification in diffusion systems"
ISNA'92 Fourth International Symposium On Numerical Analysis 1992, Prague, Czechoslovakia
Scientific Secretary of the Symposium
University of Karlsruhe, Karlsruhe, Germany
"Iterative and semiiterative methods of computing stationary probability vectors of stochastic matrices"
University Konstanz, Konstanz, Germany
"Partial Order in Mathematical Analysis"
University of Chemnitz, Chemnitz, Germany
"Aggregation methods of computing stationary probability vectors of stochastic operators"
1991 University of Technology Chemnitz, Chemnitz, Germany
"Iterative and Semiiterative Methods"
SIAM Conference On Applied Linear Algebra in Minneapolis, Minnesota, U.S.A.
"Collatz-Wielandt Numbers in General Partially Ordered Spaces"
"Graph dependent and Graph Independent Properties of Singular M-matrices" (jointly with D. Szyld)
AMS Conference in Philadelphia, Pennsylvania, U.S.A.
"Iterative and Semiiterative Methods of Computing Stationary Probability Vectors"
1990 Third International Conference On Numerical Analysis - ISNA'90', Madrid, Spain
"Iterative and Semiiterative Methods of Solving Singular Linear Systems"
International Conference On Numerical Methods in Matsuyama, Japan, on the occasion of the World Congress of the Mathematical Union
"Iterative and Semiiterative Methods of Solving Singular Systems of Linear Algebraic Equations"
University of Hiroshima, Hiroshima, Japan
"Cone preserving maps and diffusion systems"
University of Okayama, Okayama, Japan
"Iterative and semiiterative methods of solving general systems of linear algebraic equations"
University of Tokyo, Tokyo, Japan
"Aggregation methods of finding stationary probability vectors of stochastic operators"
University Konstanz, Konstanz, Germany
"Iterative and Semiiterative Methods of Solving Singular Linear Systems"
University of Nijmegen, Nijmegen, The Netherlands
"Aggregation Methods of Computing Stationary Distributions of Markov Processes"
1989 Equadiff X, Prague, Czechoslovakia
"Lyapunov-Schmidt Reduction and Its Numerical Relevance"
Plenary lecture (jointly with V. Janovsky and P. Plecháč)
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Administration

Commentationes Mathematicae Universitatis Carolinae ISSN
Numerical Methods for partial Differential Equations: ISSN
Numerical Linear Algebtra with Applications: ISSN 1070-5325
Integral Equations and Operator Theory : ISSN 0378-620X
Numerical Functional Analysis and Optimization: ISSN 0163-0563

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Address:
  KNM MFF University Karlovy
  Malostranské nám. 25
  118 00 Praha 1
  Czech Republic

Prague, May 26, 2008.