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Petr Tichý
Petr Tichý
Faculty of Mathematics and Physics, Charles University, Prague
Verified email at karlin.mff.cuni.cz - Homepage
Title
Cited by
Cited by
Year
On error estimation in the conjugate gradient method and why it works in finite precision computations.
Z Strakoš, P Tichý
ETNA. Electronic Transactions on Numerical Analysis [electronic only] 13, 56-80, 2002
1782002
Convergence analysis of Krylov subspace methods
J Liesen, P Tichý
GAMM‐Mitteilungen 27 (2), 153-173, 2004
1352004
Error estimation in preconditioned conjugate gradients
Z Strakoš, P Tichý
BIT Numerical Mathematics 45, 789-817, 2005
912005
The worst-case GMRES for normal matrices
J Liesen, P Tichý
BIT Numerical mathematics 44, 79-98, 2004
442004
Analýza metod pro maticové výpocty: základnı metody
JD Tebbens, I Hnetynková, M Plešinger, Z Strakoš, P Tichý
Matfyzpress, Praha, 2012
40*2012
On Efficient Numerical Approximation of the Bilinear Form
Z Strakoš, P Tichý
SIAM Journal on Scientific Computing 33 (2), 565-587, 2011
342011
On sensitivity of Gauss–Christoffel quadrature
DP O’Leary, Z Strakoš, P Tichý
Numerische Mathematik 107 (1), 147-174, 2007
342007
On computing quadrature-based bounds for the A-norm of the error in conjugate gradients
G Meurant, P Tichý
Numerical Algorithms 62 (2), 163-191, 2013
332013
The numerical stability analysis of pipelined conjugate gradient methods: Historical context and methodology
EC Carson, M Rozloznik, Z Strakos, P Tichy, M Tůma
SIAM Journal on Scientific Computing 40 (5), A3549-A3580, 2018
292018
The field of values bound on ideal GMRES
J Liesen, P Tichý
arXiv preprint arXiv:1211.5969, 2012
292012
The Faber–Manteuffel theorem for linear operators
V Faber, J Liesen, P Tichý
SIAM journal on numerical analysis 46 (3), 1323-1337, 2008
242008
Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG
G Meurant, P Tichý
Numerical Algorithms 82 (3), 937-968, 2019
222019
On Chebyshev polynomials of matrices
V Faber, J Liesen, P Tichý
SIAM journal on matrix analysis and applications 31 (4), 2205-2221, 2010
182010
On best approximations of polynomials in matrices in the matrix 2-norm
J Liesen, P Tichý
SIAM journal on matrix analysis and applications 31 (2), 853-863, 2009
182009
Accurate error estimation in CG
G Meurant, J Papež, P Tichý
Numerical Algorithms 88 (3), 1337-1359, 2021
112021
Properties of worst-case GMRES
V Faber, J Liesen, P Tichy
SIAM Journal on Matrix Analysis and Applications 34 (4), 1500-1519, 2013
112013
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh
C Echeverría, J Liesen, DB Szyld, P Tichý
Electronic Transactions on Numerical Analysis 48, 40-62, 2018
82018
On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates
V Dolejší, P Tichý
Journal of Scientific Computing 83, 1-29, 2020
72020
On orthogonal reduction to Hessenberg form with small bandwidth
V Faber, J Liesen, P Tichý
Numerical Algorithms 51 (2), 133-142, 2009
72009
On the worst-case convergence of MR and CG for symmetric positive definite tridiagonal Toeplitz matrices
J Liesen, P Tichý
Electronic Transactions on Numerical Analysis 20, 180-197, 2005
72005
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