publications from MathSciNet        citations from MathSciNet

 G. Meurant and P. Tichý, On computing quadrature-based bounds for the A-norm of the error in conjugate gradients, submitted to Numerical Algorithms, in December, 2011.
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 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.
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 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.
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 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.
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 V. Faber, J. Liesen and P. Tichý, On orthogonal reduction to Hessenberg form with small bandwidth, Numerical Algorithms, Volume 51, pp. 133-142, 2009.
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 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.
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 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, published online, 2007. The original publication is available on LINK at http://etna.mcs.kent.edu © ETNA.
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 D. P. O'Leary, Z. Strakoš and P. Tichý, On sensitivity of Gauss-Christoffel quadrature, Numerische Mathematik, Volume 107, pp. 147-174, 2007. The original publication is available at http://link.springer.de, DOI: 10.1007/s00211-007-0078-x, © Springer-Verlag.
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 Z. Strakoš and P. Tichý, Error Estimation in Preconditioned Conjugate Gradients, BIT Numerical Mathematics, Volume 45, pp. 789-817, 2005.
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 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, published online, 2005. The original publication is available on LINK at http://etna.mcs.kent.edu/ © ETNA.
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 J. Liesen and P. Tichý, Convergence analysis of Krylov subspace methods, GAMM Mitteilungen, Band 27, Heft 2, 2004.
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 J. Liesen and P. Tichý, The worst-case GMRES for normal matrices , BIT Numerical Mathematics, Volume 44, pp. 79-98, 2004.
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 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, published online, 2002. The original publication is available on LINK at http://etna.mcs.kent.edu/ © ETNA.
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 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.
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  technical reports and preprints

 Tichý, P. and Liesen, J., GMRES convergence and the polynomial numerical hull for a Jordan block, Preprint 34-2006, Institute of Mathematics, Technische Universität Berlin, 2006.
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Tichý, P. and  Liesen, J., Worst-case and ideal GMRES for a Jordan block, Preprint 19-2005, Institute of Mathematics, Technische Universität Berlin, 2005.
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 Liesen, J. and Tichý, P., Behavior of CG and MINRES for symmetric tridiagonal Toeplitz matrices, Preprint 34-2004, Institute of Mathematics, Technische Universität Berlin, 2004.
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 Liesen, J. and Tichý, P., A min-max problem on roots of unity, Preprint 28-2003, Institute of Mathematics, Technische Universität Berlin, 2003.
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  conference publications

 Faber, V. and Liesen, J. and Tichý, P., On a New Proof of the Faber-Manteuffel Theorem, Book of Abstracts - Householder Symposium XVII, pp. 158-160, 2008.
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 Tichý, P. and Liesen, J., Worst-case and Ideal GMRES for a Jordan Block, Abstracts - Householder Symposium XVI, pp. 226-228, 2005.
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 Liesen, J. and Tichý, P., The worst-case GMRES for normal matrices, In Proceedings of IMET 2004 - Iterative Methods, Preconditioning & Numerical PDEs, pages 113-116, 2004.
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 Strakoš, Z. and Tichý, P., On Estimation of the A-norm of the Error in CG and PCG, PAMM, Volume 3, Issue 1, pp. 553-554, Published Online: 19 Dec 2003.
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 Tichý, P., The shadow vector in the Lanczos Method, Proceedings of the XUIIth summer school software and algorithms of numerical mathematics Nečtiny, pp. 309-320, 1999.
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  thesis

 Tichý, P., O některých otevřených problémech v krylovovských metodách (On Some Open Questions In Krylov Subspace Methods), Ph.D. thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics, 114 p., Praha 2002.

 Tichý, P., On Some Open Questions In Krylov Subspace Methods, Summary of Ph.D thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics, 12 p., Praha 2002.

 Tichý, P., Chování BiCG a CGS algoritmů (Behaviour of BiCG and CGS algorithms), Master-thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics, Praha 1997.