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Presentations

invited plenary presentations On best approximation by polynomials of matrices , Householder Symposium XVIII, Granlibakken, USA (June 12-17, 2011). [slides]  [Householder Symposium XVIII]  contributed presentations On the behaviour of the Gauss-Radau upper bound, GAMM Workshop on Applied and Numerical Linear Algebra 2022, Prague, Czech Republic (September 22-23, 2022). [slides]  [GAMM ANLA 2022]  How to control the accuracy of error estimates in CG?, Householder Symposium XXI, Hotel Sierra Silvana, Selva di Fasano, Italy (June 12-17, 2022). [slides]  [Householder Symposium XXI]  The multiplicative Schwarz method for matrices with a special block structure, ALGORITMY 2020 - Conference on Scientific Computing, Podbanske, Slovakia (September 10-15, 2020). [slides]  [ALGORITMY 2020]  Characterization of half-radial matrices, MAT TRIAD 2019, Liblice, Czech Republic (September 8-13, 2019). [slides]  [MAT TRIAD 2019]  Approximating the extremal Ritz values in CG, The International Conference Mathematical Modeling with Applications (M2A19), Rabat Morocco (April 1-4, 2019). [slides]  [M2A19]  The Field of Values Bounds on Ideal GMRES, 89th GAMM Annual Meeting, Munich, Germany (March 19-23, 2018). [slides]  [GAMM 2018]  Towards Practical Estimation of the A-norm of the error in CG, Householder Symposium XX, Blacksburg, Virginia, USA (June 18-23, 2017). [slides]  [Householder Symposium XX]  On Error Estimation in the Conjugate Gradient Method , Algoritmy 2016, Slovakia (March 13-18, 2016). [slides]  [Algoritmy 2016]  On the numerical behavior of quadrature-based bounds for the A-norm of the error in CG, SIAM Conference on Applied Linear Algebra, Atlanta, USA, (October 26-30, 2015). [poster]  [SIAM-ALA 2015]  A new algorithm for computing quadrature-based bounds in conjugate gradients , Householder Symposium XIX, Spa, Belgium (June 8-13, 2014). [slides]  [Householder Symposium XIX]  On matrix approximation problems that bound GMRES convergence, Mat Triad 2013, Herceg-Novi, Montenegro (September 15-20, 2013). [slides]  [Mat Triad 2013]  On computing quadrature-based bounds for the A-norm of the error in conjugate gradients, ALGORITMY 2012 - Conference on Scientific Computing, Podbanske, Slovakia (September 9-14, 2012). [slides]  [ALGORITMY 2012]  On worst-case GMRES, ALA 2012 - SIAM Conference on Applied Linear Algebra, Valencia, Spain (June 18-22, 2012). [slides]  [ALA 2012]  The Faber-Manteuffel theorem and its consequences, ICIAM 2011, Vancouver, Canada (June 21-25, 2011). [slides]  [ICIAM 2011]  On efficient numerical approximation of the bilinear form c*A-1b,, 16th Conference of the International Linear Algebra Society ILAS 2010, Pisa, Italy (June 21-25, 2010). [slides]  [ILAS 2010]  On Chebyshev Polynomials of Matrices, Applied Linear Algebra, In Honor of Hans Schneider, Novi Sad, Serbia (May 24-28, 2010). [slides]  [ALA 2010]  On efficient numerical approximation of the scattering amplitude,, SIAM Conference on Applied Linear Algebra, Monterey, USA (October 26-29, 2009). [slides]  [SIAM ALA 2009]  On efficient numerical approximation of the scattering amplitude, Modelling 2009, Roznov pod Radhostem, Czech Republic (June 22-26, 2009). [slides]  [Modelling 2009]  On short recurrences for generating orthogonal Krylov subspace bases, ALGORITMY 2009 - Conference on Scientific Computing, Vysoke Tatry - Podbanske, Slovakia (March 15-20, 2009). [slides]  [ALGORITMY 2009]  On best approximations of matrix polynomials , GAMM Workshop on Applied and Numerical Linear Algebra, Hamburg, Germany (September 11-12, 2008). [slides]  On a New Proof of the Faber-Manteuffel Theorem, Householder Symposium XVII, Zeuthen, Germany (June 1-6, 2008). [slides]  [Householder Symposium XVII]  On a New Proof of the Faber-Manteuffel Theorem, Applied Linear Algebra, In Honor of Ivo Marek, Novi Sad, Serbia (April 28-30, 2008). [slides]  On Ideal and Worst-case GMRES, 22nd Biennial Conference on Numerical Analysis, University of Dundee, Scotland, United Kingdom of Great Britain and Northern Ireland (June 26-29, 2007). [slides]  [NAconf 2007]  Ideal GMRES and polynomial numerical hull for a Jordan block, GAMM-SIAM conference on Applied Linear Algebra, Düsseldorf, Germany (July 24-27, 2006). [slides]  [GAMM-SIAM ALA 2006]  Ideal GMRES and polynomial numerical hull for a Jordan block, GAMM Jahrestagung 2006, Berlin, Germany (March 27-31, 2006). [GAMM 2006]  Worst-case and Ideal GMRES for a Jordan Block, Householder Meeting on Numerical Linear Algebra XVI, Seven Springs Mountain Resort, Champion, Pennsylvania, USA (May 23-27, 2005). [slides]  [Householder XVI 2005]  Efficient Estimation of the A-norm of the Error in PCG, Preconditioning 2005, International Conference On Preconditioning Techniques For Large Sparse Matrix Problems In Scientific And Industrial Applications, Emory University, Atlanta, Georgia, USA (May 19-21, 2005). [slides]  On the next-to-last CG and MR iteration step, GAMM Jahrestagung 2005, Luxembourg, Germany (March 28 - April 1, 2005). [slides]  On the next-to-last CG and MR iteration step, ALGORITMY 2005 - Conference on Scientific Computing, Vysoke Tatry - Podbanske, Slovakia (March 13-18, 2005). [ALGORITMY 2005]  The worst-case GMRES for normal matrices, Iterative methods, preconditioning and numerical PDEs (IMET 2004), Prague, Czech Republic (May 25-28, 2004). [slides]  [IMET 2004]  The worst-case GMRES for normal matrices, GAMM Jahrestagung 2004, Dresden, Germany (March 21-26, 2004). [GAMM 2004]  On estimating the A-norm of the error in CG and PCG, Workshop Numerical linear algebra and its applications, Monopoli, Bari, Italy (September 22-24, 2003). [slides]  On the error estimation in CG and PCG, GAMM Jahrestagung 2003, Abano Terme, Italy (March 24-28, 2003). presentations at seminars and schools Behaviour of the Gauss-Radau upper bound, Seminar on Numerical Analysis (SNA) 2023, Ostrava, Czech Republic (January 23 - 27, 2023). [slides]  On the Forsythe conjecture, Seminar of Numerical Mathematics, MFF UK, Czech Republic (December 15, 2022). [slides]  [Seminar of Numerical Mathematics]  On error estimation in CG, Programy a algoritmy numerické matematiky 21, PANM 21, Hotel Merkur, Jablonec nad Nisou, Czech Republic (June 19-24, 2022). [slides]  [PANM 2022] The multiplicative Schwarz method for matrices with a special block structure, Programy a algoritmy numerické matematiky 20, PANM 20, Hejnice, Czech Republic (June 24-29, 2020). [slides]  [PANM 2020] Krylov subspace methods: Connections and open questions, Seminar of Numerical Mathematics, MFF UK, Czech Republic (March 19, 2019). [slides]  [Seminar of Numerical Mathematics]  On improving accuracy of the error estimates in the conjugate gradient method, Programy a algoritmy numerické matematiky 19, PANM 19, Hejnice, Czech Republic (June 24-29, 2018). [slides]  [PANM 2018] The conjugate gradient method from different perspectives, Seminar ustavu matematiky VSCHT, Czech Republic (December 7, 2016). [slides]  [Seminar ustavu matematiky VSCHT]  On solving linear systems arising from Shishkin mesh discretizations, Seminar of Numerical Mathematics, MFF UK, Czech Republic (October 20, 2016). [slides]  [Seminar of Numerical Mathematics]  On solving linear systems arising from Shishkin mesh discretizations, Programy a algoritmy numerické matematiky 18, PANM 18, Dolni Maxov, Czech Republic (June 19-24, 2016). [PANM 2016]  On computing quadrature-based bounds for the A-norm of the error in conjugate gradients, Programy a algoritmy numerické matematiky 16, PANM 16, Dolni Maxov, Czech Republic (June 03-08, 2012). [slides]  On Chebyshev Polynomials of Matrices, Programy a algoritmy numerické matematiky 15, PANM 15, Dolni Maxov, Czech Republic (June 06-11, 2010). [slides]  On efficient numerical approximation of the scattering amplitude, Seminar on Numerical Analysis (SNA) 2010, Nove Hrady, Czech Republic (January 18 - 22, 2010). [slides]  On best approximations of matrix polynomials , Seminar on Numerical Analysis (SNA) 2009, Ostrava, Czech Republic (February 2-6, 2009). [slides]  On short recurrences for generating orthogonal Krylov subspace bases, Seminar on Numerical Analysis (SNA) 2008, Liberec, Czech Republic (January 28 - February 1, 2008). [slides]  On ideal GMRES for a Jordan Block , Seminar on Numerical Analysis (SNA) 2005, Ostrava, Czech Republic (February 7-11, 2005). The shadow vector in the Lanczos Method, XVIIth summer school software and algorithms of numerical math., Nečtiny (1999). other presentations Übersicht zur Numerik II für Ingenieure, (in German), a presentation to the lecture: Numerik II for engineers, TU-Berlin, Germany (2004). [slides]  Co Vy na to, pane Gauss, (in Czech ), Public Days in the Institute of Computer Science, Prague (2013). [slides]  [video]  Untraditional derivation of BCG, Czech-US Workshop on Iterative Methods and Parallel Computing, MILOVY (1997), poster 3 p.