Teaching activities
Požadavky ke zkoušce z MA53.
Numerické metody pro nenumeriky - nultá kapitola
Numerické metody pro nenumeriky
Monographs and Teaching texts:
- Analytic Theory of Matrices. (In Czech). State Pedagogical Edition, Prague 1975.
- Functional Analysis. Chapter 19 in the treatise Mathematics, Vol. 4 Analysis. Editors W. Ledermann and S. Vajda. J. Wiley Publ. London, New York 1982.
- 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).
- 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).
- Numerické metody pro nenumeriky.(In Czech). Faculty of Civil Engineering, ČVUT, 1999.
Recent publications (excerpted)
- 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.)
- 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.)
- 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.
- Quasi birth and death processes. Level geometric distributions. An aggregation/disaggregation approach. J. Comp. Appl. Math. Vol. 152 (2002) 788-799.
- Algebraic Schwarz methods for the numerical solution of Markov chains. Linear Algebra Appl. 386 (2004), 67-81.
- 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.
- Schwarz-like methods for approximate solving cooperative systems. Kybernetika 40, 611-624, 2004.
- Input-output systems in Biology and Chemistry and a class of mathematical models chracterizing them. Appl. Math. 50, 219-245 (2005). (Coauthor E. Bohl).
- A note on local and global convergence analysis of iterative aggregation/disaggregation methods. Linear Algebra Appl. 413, 327-341 (2006). (Coauthor I. Pultarová).
- Kruis J., Mayer P., Marek I.: Předpodmínění iteračních metod algoritmem BOSS. Proc. FEM, Praha, December 2007, ISBN 978-80-01-03942-7.
- Marek I., Mayer P., Pultarová I.: Convergence issues in the theory and practice of iterative aggregation/disagrregation methods. Submitted ETNA 2007.
Links:
Address:
KNM MFF University Karlovy
Malostranské nám. 25
118 00 Praha 1
Czech Republic
Prague, May 26, 2008.
