Petr Tichý
Department of Numerical Mathematics
Sokolovska 83, 18675 Praha 8, Czech Republic

Presentations

invited plenary presentations
contributed presentations
  • 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

  • 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 numerick√© 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 numerick√© matematiky 16, PANM 16, Dolni Maxov, Czech Republic (June 03-08, 2012).
    [slides
  • On Chebyshev Polynomials of Matrices, Programy a algoritmy numerick\E9 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.

update 07.06.2021