Published publications

Monographs

 

J. Liesen and Z. Strakos, Krylov Subspace Methods, Principles and Analysis , Oxford University Press, ISBN 978-0-19-965541-0, 408p., 2012.

Textbooks

 

J. Duintjer Tebbens, I. Hnetynkova, M. Plesinger, Z. Strakos, and P. Tichy, Analyza metod pro maticove vypocty: Zakladni metody, Textbook, Matfyzpress Prague, ISBN 978-80-7378-201-6, 328 p., 2012.

Papers

 

M. Rozloznik, Do We Always Need to Solve Our Problems Exactly?, Informatika - Scientific Review of the Dennis Gabor College, Vol. 40, pp. 3-7 , 2012.

 

J. Duintjer Tebbens and G. Meurant, Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES , SIAM J. Matrix Anal. Appl., Vol. 33, No. 3, pp. 958-978, September 2012.

 

J. Kopal, M. Rozloznik, M. Tuma, and A. Smoktunowicz, Rounding Error Analysis of Orthogonalization with a Non-Standard Inner Product, BIT, Vol. 52, No. 4, pp. 1035-1058 , August 2012.

 

G. Meurant, P. Tichy, On Computing Quadrature-Based Bounds for the A-Norm of the Error in Conjugate Gradients, Numerical Algorithms, Online First, 25 May 2012.

 

A. Hirn, M. Lanzendorfer, and J. Stebel, Finite Element Approximation of Flow of Fluids with Shear Rate and Pressure Dependent Viscosity, IMA Journal of Numerical Analysis, Vol. 32, pp. 1604-1634, 2012.

 

I. Hnetynkova, M. Plesinger, D. Sima, Z. Strakos, and S. Van Huffel, The Total Least Squares Problem in AX≈B. A New Classification with the Relationship to the Classical Works, SIAM Journal of Matrix Analysis and Applications (SIMAX), Vol. 32, pp. 748-770, 2011.

 

M. Rozloznik, G. Shklarski, and S. Toledo, Partitioned Triangular Tridiagonalization, ACM Transactions on Mathematical Software, Vol. 37, No. 4, pp. Art. 38, 16, 2011.

 

Z. Strakos and P. Tichy, On Efficient Numerical Approximation of the Bilinear Form c*A-1b, SIAM Journal on Scientific Computing (SISC), Vol. 33, No. 2, pp. 565-587, 2011.

 

Z. Strakos, Featured review: G. H. Golub and G. Meurant, Matrices, Moments and Quadrature with Applications, Princeton University Press 2010, Foundations of Computational Mathematics (FoCM), Vol. 11, pp. 241-255, 2011.

 

K. Jurkova and M. Tuma, Factorization-Based Graph Repartitionings, Large-Scale Scientific Computing, Lecture Notes in Computer Science, Vol. 5910, pp. 771-778, 2010.

 

J. Duintjer Tebbens and M. Tuma, Preconditioner Updates for Solving Sequences of Linear Systems in Matrix-Free Environment, NLAA, Vol. 17, pp. 997-1019, 2010.

 

P. Jiranek, Z. Strakos, and M. Vohralik, A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers, SIAM Journal on Scientific Computing (SISC), Vol. 32, pp. 1567-1590, 2010.

 

V. Faber, J. Liesen, and P. Tichy, On Chebyshev Polynomials of Matrices, SIAM. J. Matrix Anal. & Appl. Vol. 31, No. 4, pp. 2205–2221, 2010.

 

J. Knizek, P. Tichy, L. Beranek, J. Sindelar, B. Vojtesek, P. Bouchal, R. Nenutil, and O. Dedik, Note on Generating Orthogonal Polynomials and Their Application in Solving Complicated Polynomial Regression Tasks, International Journal of Mathematics and Computation, Vol. 7, No. 10, pp. 48-60, 2010.

 

P. Jiranek and M. Rozloznik, Adaptive Version of Simpler GMRES, Numerical Algorithms, Vol. 53, No. 1, pp. 93-112, 2010.

 

J. Hench and Z. Strakos, The RCWA Method - a Case Study with Open Questions and Perspectives of Algebraic Computations, ETNA, Vol. 31, pp. 331-357, 2008.

 

I. Hnetynkova, M. Plesinger, and Z. Strakos, The Regularizing Effect of the Golub-Kahan Iterative Bidiagonalization and Revealing the Noise Level in the Data, BIT Numerical Analysis, Vol. 49, pp. 669-696, 2009.

 

I. Hnetynkova, M. Plesinger, and Z. Strakos, On Solution of Total Least Squares Problem with Multiple Right-Hand Sides, PAMM, Vol. 8, No. 1, pp. 10815-10816, 2009.

 

J. Liesen and P. Tichy, On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm, SIAM. J. Matrix Anal. & Appl. Vol. 31, No. 2, pp. 853-863, 2009.

 

Z. Strakos, Model Reduction Using the Vorobyev Moment Problem, Numerical Algorithms, Vol. 51, No. 3, pp. 363-379, July, 2009.

 

V. Faber, J. Liesen, and P. Tichy, On Orthogonal Reduction to Hessenberg Form with Small Bandwidth, Numerical Algorithms, Vol. 51, No. 2, pp. 133-142, 2009.

 

Z. Strakos, Numerical Linear Algebra and Some Problems in Computational Statistics, Proceedings of IASC2008, Yokohama, JSCS, pp. 1469-1478, December 2008.

 

P. Jiranek, M. Rozloznik, and M. Gutknecht, How to Make Simpler GMRES and GCR More Stable, SIAM Journal of Matrix Analysis and Applications, Vol. 30, No. 4, pp. 1483-1499, 2008.

 

R. Bru, J. Marin, J. Mas, and M. Tuma, Balanced Incomplete Factorization, SIAM Journal on Scientific Computing, Vol. 30, pp. 2302-2318, 2008.

 

J. Liesen and Z. Strakos, On Optimal Short-Term Recurrences for Generating Orthogonal Krylov Subspace Bases, SIAM Review, Vol. 50, No. 3, pp. 485-503, 2008.

Theses

 

J. Papez, Algebraic Error Estimation and Stopping Criteria in Numerical Solving of PDE's, Diploma thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics, Praha, 2011.

 

K. Vasilik, Linear Error-In-Variable Modeling, Diploma thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics, 74 p., Praha, 2011.

 

M. Lanzendorfer, On Isothermal Steady Flows of Incompressible, Pressure-Thickening and Shear-Thinning Fluids and Their Galerkin Approximation, PhD thesis, Mathematical Institute of Charles University, 100 p., Praha, 2011.

 

T. Gergelits, Krylov Subspace Methods: Theory, Applications and Interconnections, BC thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics, 95 p., Praha, 2011.

 

K. Tothova, Numericke metody zpracovani obrazu, BC thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics, 45 p., Praha, 2010.

 

M. Michenkova, Metoda uplnych nejmensich ctvercu s omezenim hodnosti, BC thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics, 40 p., Praha, 2009.