Faculty of Applied Science --> Department of Mathematics <<   o   >>
employee	RNDr. Petr Tichý, Ph.D.   office:   UK-606   phone:   ++420 377 63    e-mail:   ptichy @ kma.zcu.cz   www:   http:/www.KMA.zcu.cz/Petr.Tichy   (orion: http://home.zcu.cz/~ptichy)	HOME publications grants conferences teaching supervisor activities

Publications

 G. Meurant and P. Tichý, On computing quadrature-based bounds for the A-norm of the error in conjugate gradients,
Numerical Algorithms, Online First, 25 May 2012.

 Z. Strakoš and P. Tichý, On efficient numerical approximation of the bilinear form c^*A^-1b ,
SIAM Journal on Scientific Computing, Volume 33, Issue 2, pp. 565-587, 2011.

 V. Faber, J. Liesen and P. Tichý, On Chebyshev polynomials of matrices,
SIAM Journal on Matrix Analysis and Applications, Volume 31, Issue 4, pp. 2205-2221, 2010.

 J. Liesen and P. Tichý, On best approximations of polynomials in matrices in the matrix 2-norm,
SIAM Journal on Matrix Analysis and Applications, Volume 31, Issue 2, pp. 853-863, 2009.

 V. Faber, J. Liesen and P. Tichý, On orthogonal reduction to Hessenberg form with small bandwidth,
Numerical Algorithms, Volume 51, pp. 133-142, 2009.

 V. Faber, J. Liesen and P. Tichý, The Faber-Manteuffel theorem for linear operators,
SIAM Journal on Numerical Analysis, Volume 46, pp. 1323-1337, 2008.

 P. Tichý, J. Liesen and V. Faber, On worst-case GMRES, ideal GMRES, and the polynomial numerical hull of a Jordan block,
Electronic Transactions on Numerical Analysis (ETNA), Volume 26, pp. 453-473, 2007.

 D. P. O'Leary, Z. Strakoš and P. Tichý, On sensitivity of Gauss-Christoffel quadrature,
Numerische Mathematik, Volume 107, pp. 147-174, 2007.

 Z. Strakoš and P. Tichý, Error Estimation in Preconditioned Conjugate Gradients,
BIT Numerical Mathematics, Volume 45, pp. 789-817, 2005.

 J. Liesen and P. Tichý, On the worst-case convergence of MR and CG for symmetric positive definite tridiagonal Toeplitz matrices,
Electronic Transactions on Numerical Analysis (ETNA), Volume 20, pp. 180-197, 2005.

 J. Liesen and P. Tichý, Convergence analysis of Krylov subspace methods,
GAMM Mitteilungen, Band 27, Heft 2, 2004.

 J. Liesen and P. Tichý, The worst-case GMRES for normal matrices ,
BIT Numerical Mathematics, Volume 44, pp. 79-98, 2004.

 Z. Strakoš and P. Tichý, On Error Estimation in the Conjugate Gradient Method and Why It Works In Finite Precision Computations,
Electronic Transactions on Numerical Analysis (ETNA), Volume 13, pp. 56-80, 2002.

 P. Tichý and J. Zítko, Derivation of BiCG from the conditions defining Lanczos' method for solving a system of linear equations,
Application of Mathematics 5, (43), pp. 381--388, 1998.