Presentations

[Invited Plenary Presentations at Conferences] [Selection of Contributed and Minisymposia Presentations]

Operator preconditioning, discretization and decomposition into subspaces, PANM, Hejnice, June 2018 [download]

Decomposition into subspaces and operator preconditioning, ICMS, Edinburgh, April 2018 [download]

On an old article and its many connections, 16th Conference of the Czech Mathematical Society, Prague, February 2018 [download]

Sparsity, discretization, preconditioning and adaptivity in solving linear equations, XX. Householder Symposium, Blacksburg, VA, June 2017. [download]

Krylov subspace methods from the analytic, application and computational perspective, Boeing Distringuished Colloquia in Applied Mathematics, May 2016. [download]

Sparsity, Local and Global Information in the Numerical Solution of PDEs, BIRS Workshop on Sparse Representations, Numerical Linear Algebra and Optimization, Banff, September 2014.[download]

Preconditioning and the CG method in the context of solving PDEs, Symposium in honour of Martin Gutknecht, Lausanne, September 2014.[download]

On preconditioned Krylov subspace methods in numerical PDEs, Keynote lecture, Domain Decomposition Methods for Optimization with PDE Constraints, CSF, Ascona, September 2013. [download]

Functional Analysis and Iterative Algebraic Computations. There and Back Again, Preconditioning of Iterative Methods - Theory and Applications, Conference in Honor of Ivo Marek, Prague, July 2013. [download]

Bits of scattered (summarizing?) comments, BIRS Workshop Model reduction in continuum thermodynamics: Modeling, analysis and computation, Banff, September 2012.

Moments, Model Reduction and Nonlinearity in Solving Linear Algebraic Problems , 16th International Linear Algebra Society Meeting, Pisa, June 2010. [download]

Spectral Information and Krylov Subspace Methods , Linear and Nonlinear Eigenproblems for PDEs, Mathematisches Forschunginstitute Oberwolfach, August 2009. [download] [download]

Analysis of Krylov subspace methods: Moments, error estimators, numerical stability and unexpected consequences , Winter School: New Trends in Scientific Computing, CIRM, Luminy, February 2009. [download]

Numerical linear algebra and some problems in computational statistics , IASC2008, Yokohama, December 2008. [download]

Nonlinear Problems in Analysis of Krylov Subspace Methods , The CFG Conference on Optimization, Heidelberg, September 2007. [download]

Core Problem Theory in Linear Approximation Problems , The IMA Conference on Applied Linear Algebra and Optimization, Birmingham, September 2007. [download]

On unexpected consequences of numerical stability analysis of Krylov subspace methods, 22nd Biennial Conference on Numerical Analysis, Dundee, June 2007. [download]

On sensitivity of Jacobi matrices to spectral data and related problems , Structured Perturbations and Discrete Problems in Matrix Computations, Bedlewo, March 2007 (due to unforeseen absence the lecture was not delivered). [download]

Lanczos tridiagonalization, Krylov subspaces and the problem of moments, Numerical Linear Algebra in Signals and Systems, Porto Giardino, Monopoli (Bari), September 2006. [download]

Bidiagonalization as a fundamental decomposition of data in linear approximation problems, Fourth Total Least Squares and Errors-in-Variables Modeling Workshop, Leuven, August 2006. [download]

Core problems in Ax ~ b - analysis of TLS revisited, XVI. Householder Symposium, Seven Springs, May 2005 (due to unforeseen absence the lecture was presented by Chris Paige). Presented also at The International School on Image Deblurring, Monopoli, Bari, September 2005. [download]

On Numerical Stability in Large Scale Scientific Computations, 75th GAMM Annual Scientific Conference, Dresden, March 2004. [download]

Intriguing Behaviour of Krylov subspace methods, Dagstuhl Seminar "Theoretical and Computational Aspects of Matrix Computations", Dagstuhl, October 2003. [download]

Eigenvalue-Eigenvector Structure and Approximation Problems in GMRES Residual Bounds, XV. Householder Symposium, Peebles, June 2002. [download]

On the History and Presence of Error Estimation in the Conjugate Gradient Method, Latsis Symposium 2002, Iterative Solvers for Large Linear Systems, Zurich, February 2002. [download]

Mathematical Foundations of the Total Least Squares Revisited, ROBUST' 2002, Hejnice, January 2002.

Scaled Total Least Squares Problem and Numerical Stability of Modified Gram-Schmidt GMRES, GAMM Workshop on Numerical Linear Algebra, Technical University of Berlin, Germany, September 2001. [download]

Bounds for the Least Squares Residual Using Scaled Total Least Squares, Third International workshop on TLS and Errors-in-Variables Modeling, Katholieke Universiteit Leuven (Heverlee), Belgium, August 2001. [download]

Convergence of Krylov Subspace Methods, MIDWEST NA Day, UIUC, Urbana-Champaign, May 2001.

Orthogonality in MGS Arnoldi and Convergence of GMRES, Matrix Iterative Analysis and Biorthogonality, Luminy, France, Sept. 2000. [download]

Construction, Application and Understanding of Krylov Subspace Methods, Algoritmy 2000, Vysoke Tatry, Slovakia, Sept. 2000. [download]

Correspondence between Exact Arithmetic and Finite Precision Behaviour of Krylov Space Methods, XIV. Householder Symposium on Numerical Linear Algebra, Whistler, BC, June 1999. [download]

GMRES and Relation between Total Least Squares and Least Squares Problems, Conference in Honor of Richard Varga's 70th Birthday, Kent State University, Kent, Ohio, March 1999.

Role of Orthogonality in the Convergence of the Krylov Space Methods, Numerical Linear Algebra and Scientific Computing, Mathematisches Forschunginstitute Oberwolfach, April 1997.

Eigenvalues and Convergence of Krylov Space Methods, International linear Algebra Year 1995-96, Workshop Eigenvalues and Beyond, CERFACS, Toulouse, France, Oct. 1995.

Numerical Stability of GMRES, Numerical Linear Algebra with Applications, Mathematisches Forschunginstitute Oberwolfach, April 1994.

Current Trends in Numerical Linear Algebra: From Theory to Practice (part I), SOFSEM'94, Milovy, November 1994.

Rounding Errors in the Gauss Quadrature Calculations and in Computing Continued Fractions, XII. Householder Symposium on Numerical Linear Algebra, Lake Arrowhead, June 1993.

Courses at International Schools and Compact Graduate Courses

Krylov subspace methods from the historical, analytic, application, and high performance computing perspective, PRACE Course on Parallel Linear Algebra, Ostrava, Czech Republic, January 2017[download]

Matrix iterative methods from the historical, analytic, application, and computational perspective, A five-lecture IDGK1754 Compact Course, Technical University Munich, Germany, November 2016. [download]

Krylov subspace methods, their analysis and applications, A five-lecture IDGK Compact Course, University of Heidelberg, Germany, February 2016.

Modern methods of numerical linear algebra - principles, trends and open problems , A ten-lecture course at "The Seminar on Differential Equations", Kamenice, Czech Republic, May 2008. [download]

Analysis of Krylov subspace methods , A six-lecture course at The International School "Numerical Linear Algebra and its Applications", Monopoli, Bari, September 2003.

Convergence and Numerical Behaviour of the Krylov Space Methods, NATO ASI Course Algorithms for Large Scale Linear Algebraic Systems: State of the Art and Applications in Science and Engineering (two lectures), Gran Canaria, Spain (June - July 1996).

Selection of Minisymposia and Contributed Presentations

Gauss quadrature, Still a problem? 11th Workshop on Mathematical Modeling, Constanta, October, 2016.[download]

Principles of Krylov subspace methods, 7ECM Congress, Berlin, July 2016.[download]

Krylov subspace methods and exascale computations: a good match or a lost case? SPPEXA Annual Meeting 2016, Munich, January 2016.[download]

On Operator and Matrix View to Preconditioned Iterative Methods, New Directions in Numerical Computations, Conference in Honor of Nick Trefethen, Oxford, August 2015. [ download]

On operator and matrix description of Iterative Methods, ICIAM 2015, Beijing, August 2015.[download]

Questions on the Concepts of Numerical Stability in Krylov Subspace methods, 26th Biennial Conference on Numerical Analysis, Strathclyde, June 2015. [download]

On the Vorobyev Method of Moments, Conference in Honor of Volker Mehrmann, Berlin, May 2015. [download]

Vorobyev Method of Moments, Model Reduction, Convergence, Computation, HPCSE 2015, Solan, May 2015. [download]

On the interplay between discretization and preconditioning of Krylov subspace methods, 4th IMA Conference on Numerical Linear Algebra and Optimization, Birmingham, September 2014. [download]

Algebraic preconditioning as transformation of discretization bases, GAMM Annual Meeting, Erlangen, March 2014.[download]

Remarks on algebraic computations within numerical solution of partial differential equations, Invited lecture, EQUADIFF 2013, Prague, August 2013. [download]

On adaptivity, convergence and inexact computations in numerical solution of partial differential equations, ENUMATH 2013, Minisymposium Current trends in numerical linear algebra, Lausanne, August 2013. [download]

Challenges in analysis of Krylov subspace solvers , SIAM Conference on Applied Linear Algebra, Minisymposium Recent advances in fast iterative solvers, Valencia, July 2012. [download]

Matching moments and matrix computations, Scientific Computing 2011, Conference in honor of Claude Brezinski and Sebastiano Seatzu, Sardinia, August 2011. [download]

On the continuous problem context of matrix computations, 17.th ILAS Conference, Braunschweig, August 2011. [download]

On evaluating computational cost and approximation error in linear algebraic problems, Foundations of Computational mathematics, Workshop on Numerical Linear Algebra, Budapest, July 2011. [download]

Matching moments and matrix computations, XVIII. Householder Symposium, Tahoe City, June 2011. [download]

Golub - Kahan iterative bidiagonalization and revealing noise in the data , SIAM Conference on Applied Linear Algebra, Minisymposium Krylov subspace methods for discrete inverse problems, Monterey, October 2009. [download]

On the RCWA method for computing solutions of Maxwell's equations for a rectangular grating'' , LMS Durham Symposium "Computational Linear Algebra for Partial Differential Equations", Durham, July 2008. [download]

Sensitivity of the Gauss-Christoffel quadrature and sensitivity of the Jacobi matrix to small perturbations of the spectral data'' , XVII. Householder Symposium, Zeuthen, June 2008 [download]

Lanczos tridiagonalization and Golub - Kahan bidiagonalization: Ideas connections and impact , GAMM-SIAM Conference on Applied Linear Algebra, Minisymposium on history of applied and numerical linear algebra, Dusseldorf, July 2006. [download]

Stability and stopping criteria in iterative methods for linear algebraic systems , PANM13 in honor of Prof. Ivo Babuska, Prague, May 2006. [download]

Stopping criteria in iterative methods - a miscellaneous issue? , GAMM Annual Meeting, Berlin, March 2006. [download]

Efficient estimation of the A-norm of the error in the preconditioned conjugate gradient method, Preconditioning 2005, Atlanta, May 2005 (due to unforeseen absence the lecture was presented by Petr Tichy). Presented also at the 5th GAMM Workshop on Applied and Numerical Linear Algebra, Dresden, September 2005. [download]

Core Problems in Linear Parameter Estimation, 16th Symposium of IASC on Computational Statistics COMPSTAT2004, Prague, August 2004. [download]

Behaviour of the Smallest Singular Value While Appending a Column of a Matrix, GAMM Linear Algebra Workshop, Hagen, July 2004. [download]

On Numerical Stability in Error Estimation in the Conjugate Gradient Method, ETNA 2003, Kent, Ohio, May 2003.

Errors-in-Variables Modeling and Numerical stability of GMRES, Numerical Analysis, Ostrava, February 2003.

History and Presence of Error Estimation in the Conjugate Gradient Method, Mathematical and Computer Modeling in Science and Engineering, Praha, January 2003.

Do we know when to stop iterative methods for linear algebraic systems?, PMAA'02, Neuchatel, November 2002.

Error Estimates and Stopping Criteria in the Conjugate Gradient Method, Algoritmy'02, Podbanske, September 2002.

On Error Estimation in the Conjugate Gradient Method , First SIAM-EMS Conference Applied Mathematics in our Changing World, Konrad-Zuse-Zentrum fur Informationstechnik, Berlin, September 2001. [download]

Convergence Characteristics and Stopping Criteria for Iterative Solvers, 16th IMACS World Congress, Lausanne, August 2000.

When Loss of Orthogonality Means Convergence, Joint Mathematics Meetings (invited SIAM minisymposium), Washington D.C., January 2000.

Lanczos Method and Gauss Quadrature, AMS--IMS--SIAM Conference on Structured Matrices, Boulder, June 1999.

Delay of Convergence in Nonsymmetric Krylov Space Methods, 1999 SIAM Annual Meeting, Atlanta, May 1999.

Least Squares Problems and Convergence of GMRES, Linear Algebra: Theory, Applications and Computations, Wake Forest University, Winston-Salem, January 1999.

Rounding Errors in Symmetric and Nonsymmetric Krylov Space Methods--Do They Behave Differently?, Fourth IMACS International Symposium on Iterative Methods in Scientific Computation, University of Texas at Austin, October 1998.

Krylov Sequences of Maximal Length and Convergence of GMRES, 7th ILAS Conference, Madison, May 1998.

Accuracy of Three--Term and Two--Term Recurrences in Iterative Methods, 7th ILAS Conference, Madison, May 1998.

Is Forward Error Analysis of the GMRES Method Possible?, International Workshop on Iterative Methods and Parallel Computing, Milovy, June 1997.

Do We Really Need Well Preserved Orthogonality in the GMRES Method?, Sixth ILAS Conference, Chemnitz, August 1996.

On the Rate of Convergence of the GMRES Method, IMACS, Blagoevgrad, June 1995.

The GMRES Method is Backward Stable, Least Squares Methods: Theory, Algorithms and Applications, Linkoping University, January 1995.

Rounding Errors in Krylov Subspace Methods for Solving Linear Algebraic Systems, ISNA - 92, Prague, Aug. 31 - Sept. 4, 1992.

Open Questions in the Convergence Analysis of the Lanczos Process for the Real Symmetric Eigenvalue Problem, IMA Workshop on Iterative Methods, IMA, University of Minnesota, Feb. 24 - 29, 1992.