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Tichý, Petr

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Author ID: tichy.petr Recent zbMATH articles by "Tichý, Petr"
Published as: Tichý, Petr; Tichý, P.
Homepage: http://www.karlin.mff.cuni.cz/~ptichy/
External Links: ORCID · dblp
Documents Indexed: 28 Publications since 1998, including 2 Books
Reviewing Activity: 8 Reviews

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 123 times in 89 Documents Cited by Year
On error estimation in the conjugate gradient method and why it works in finite precision computations. Zbl 1026.65027
Strakoš, Zdeněk; Tichý, Petr
27
2002
Error estimation in preconditioned conjugate gradients. Zbl 1095.65029
Strakoš, Zdeněk; Tichý, Petr
16
2005
Convergence analysis of Krylov subspace methods. Zbl 1071.65041
Liesen, Jörg; Tichý, Petr
12
2004
The worst-case GMRES for normal matrices. Zbl 1053.65021
Liesen, Jörg; Tichý, Petr
11
2004
On computing quadrature-based bounds for the \(A\)-norm of the error in conjugate gradients. Zbl 1261.65034
Meurant, Gérard; Tichý, Petr
9
2013
On efficient numerical approximation of the bilinear form \(c^*A^{-1}b\). Zbl 1227.65033
Strakoš, Zdeněk; Tichý, Petr
8
2011
On sensitivity of Gauss-Christoffel quadrature. Zbl 1117.41023
O’Leary, Dianne P.; Strakoš, Zdeněk; Tichý, Petr
7
2007
The Faber-Manteuffel theorem for linear operators. Zbl 1170.65024
Faber, V.; Liesen, J.; Tichý, P.
6
2008
On best approximations of polynomials in matrices in the matrix 2-norm. Zbl 1190.41011
Liesen, Jörg; Tichý, Petr
4
2009
On worst-case GMRES, ideal GMRES, and the polynomial numerical hull of a Jordan block. Zbl 1171.65373
Tichý, Petr; Liesen, Jörg; Faber, Vance
4
2007
The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology. Zbl 1416.65080
Carson, Erin C.; Rozložník, Miroslav; Strakoš, Zdeněk; Tichý, Petr; Tuma, Miroslav
3
2018
On orthogonal reduction to Hessenberg form with small bandwidth. Zbl 1180.65051
Faber, V.; Liesen, J.; Tichý, P.
3
2009
On Chebyshev polynomials of matrices. Zbl 1206.41004
Faber, Vance; Liesen, Jörg; Tichý, Petr
2
2010
On the worst-case convergence of MR and CG for symmetric positive definite tridiagonal Toeplitz matrices. Zbl 1119.65320
Liesen, Jörg; Tichý, Petr
2
2005
On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates. Zbl 1435.65188
Dolejší, Vít; Tichý, Petr
2
2020
Approximating the extreme Ritz values and upper bounds for the \(A\)-norm of the error in CG. Zbl 1436.65033
Meurant, Gérard; Tichý, Petr
2
2019
Erratum to: “On computing quadrature-based bounds for the A-norm of the error in conjugate gradients”. Zbl 1298.65062
Meurant, Gérard; Tichý, Petr
2
2014
On estimation of the \(A\)-norm of the error in CG and PCG. Zbl 1354.90173
Strakoš, Zdeněk; Tichý, Petr
1
2003
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. Zbl 1390.15072
Echeverría, Carlos; Liesen, Jörg; Szyld, Daniel B.; Tichý, Petr
1
2018
Properties of worst-case GMRES. Zbl 1291.65096
Faber, Vance; Liesen, Jörg; Tichý, Petr
1
2013
On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates. Zbl 1435.65188
Dolejší, Vít; Tichý, Petr
2
2020
Approximating the extreme Ritz values and upper bounds for the \(A\)-norm of the error in CG. Zbl 1436.65033
Meurant, Gérard; Tichý, Petr
2
2019
The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology. Zbl 1416.65080
Carson, Erin C.; Rozložník, Miroslav; Strakoš, Zdeněk; Tichý, Petr; Tuma, Miroslav
3
2018
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. Zbl 1390.15072
Echeverría, Carlos; Liesen, Jörg; Szyld, Daniel B.; Tichý, Petr
1
2018
Erratum to: “On computing quadrature-based bounds for the A-norm of the error in conjugate gradients”. Zbl 1298.65062
Meurant, Gérard; Tichý, Petr
2
2014
On computing quadrature-based bounds for the \(A\)-norm of the error in conjugate gradients. Zbl 1261.65034
Meurant, Gérard; Tichý, Petr
9
2013
Properties of worst-case GMRES. Zbl 1291.65096
Faber, Vance; Liesen, Jörg; Tichý, Petr
1
2013
On efficient numerical approximation of the bilinear form \(c^*A^{-1}b\). Zbl 1227.65033
Strakoš, Zdeněk; Tichý, Petr
8
2011
On Chebyshev polynomials of matrices. Zbl 1206.41004
Faber, Vance; Liesen, Jörg; Tichý, Petr
2
2010
On best approximations of polynomials in matrices in the matrix 2-norm. Zbl 1190.41011
Liesen, Jörg; Tichý, Petr
4
2009
On orthogonal reduction to Hessenberg form with small bandwidth. Zbl 1180.65051
Faber, V.; Liesen, J.; Tichý, P.
3
2009
The Faber-Manteuffel theorem for linear operators. Zbl 1170.65024
Faber, V.; Liesen, J.; Tichý, P.
6
2008
On sensitivity of Gauss-Christoffel quadrature. Zbl 1117.41023
O’Leary, Dianne P.; Strakoš, Zdeněk; Tichý, Petr
7
2007
On worst-case GMRES, ideal GMRES, and the polynomial numerical hull of a Jordan block. Zbl 1171.65373
Tichý, Petr; Liesen, Jörg; Faber, Vance
4
2007
Error estimation in preconditioned conjugate gradients. Zbl 1095.65029
Strakoš, Zdeněk; Tichý, Petr
16
2005
On the worst-case convergence of MR and CG for symmetric positive definite tridiagonal Toeplitz matrices. Zbl 1119.65320
Liesen, Jörg; Tichý, Petr
2
2005
Convergence analysis of Krylov subspace methods. Zbl 1071.65041
Liesen, Jörg; Tichý, Petr
12
2004
The worst-case GMRES for normal matrices. Zbl 1053.65021
Liesen, Jörg; Tichý, Petr
11
2004
On estimation of the \(A\)-norm of the error in CG and PCG. Zbl 1354.90173
Strakoš, Zdeněk; Tichý, Petr
1
2003
On error estimation in the conjugate gradient method and why it works in finite precision computations. Zbl 1026.65027
Strakoš, Zdeněk; Tichý, Petr
27
2002
all top 5

Cited by 154 Authors

11 Meurant, Gérard A.
11 Strakoš, Zdeněk
10 Tichý, Petr
5 Liesen, Jörg
4 Carson, Erin Claire
4 Li, Rencang
3 Arioli, Mario
3 Dolejší, Vít
3 Duintjer Tebbens, Jurjen
3 Papež, Jan
2 Bevilacqua, Roberto
2 Chen, Tyler
2 Del Corso, Gianna M.
2 Greenbaum, Anne
2 Higham, Nicholas J.
2 Morgan, Ronald B.
2 Plešinger, Martin
2 Sadok, Hassane
2 Salemi, Abbas
2 Simoncini, Valeria
2 Szyld, Daniel B.
2 Vandebril, Raf
2 Vohralík, Martin
2 Wathen, Andrew John
1 Agullo, Emmanuel
1 Ahmad, Mian Ilyas
1 Aliaga, José Ignacio
1 Atroshchenko, Elena
1 Axelsson, Axel Owe Holger
1 Badcock, Kenneth J.
1 Bartoš, Ondřej
1 Bastian, Peter
1 Beckermann, Bernhard
1 Bollhöfer, Matthias
1 Bouyouli, R.
1 Bramas, Bérenger
1 Chae, Minwoo
1 Chen, Caihua
1 Constantine, Paul G.
1 Cools, Siegfried
1 Cui, Tiangang
1 Danilov, Dmitry I.
1 Dessole, M.
1 Diaz Cortés, Gabriela Berenice
1 Du, Lei
1 Echeverria, Carlos
1 Eisenträger, Sascha
1 Embree, Mark
1 Eshghi, Nasim
1 Estrin, Ron
1 Faber, Vance
1 Fika, Paraskevi
1 Futamura, Yasunori
1 Gaaf, Sarah W.
1 Gemignani, Luca
1 Georgiev, Krassimir
1 Gergelits, Tomáš
1 Giraud, Luc
1 Gmati, Nabil
1 Götschel, Sebastian
1 Gratton, Serge
1 Grover, Priyanka
1 Guo, Shaoyan
1 Gutknecht, Martin H.
1 Hallman, Eric
1 Hao, Shoulin
1 Hassan, Muhammad
1 Hnětynková, Iveta
1 Jansen, Jan-Dirk
1 Jia, Zhigang
1 Karami, Saeed
1 Karátson, János
1 Kressner, Daniel
1 Kuchta, Miroslav
1 Kyanfar, Faranges
1 Ladecký, Martin
1 Ling, Sitao
1 Liu, Hexuan
1 Liu, Yong-Jin
1 Loghin, Daniel
1 Mach, Thomas
1 Magnus, Jan R.
1 Makvandi, Resam
1 Mantica, Giorgio
1 Marcuzzi, Fabio
1 Mardal, Kent-Andre
1 Martín, Alberto F.
1 Marzouk, Youssef M.
1 Mertens, Clara
1 Międlar, Agnieszka
1 Mitrouli, Marilena
1 Mortensen, Mikael
1 Müller, Eike Hermann
1 Müthing, Steffen
1 Nguyen, Huy V.
1 Nordaas, Magne
1 O’Leary, Dianne P.
1 Orban, Dominique
1 Pestana, Jennifer
1 Philippe, Bernard J.
...and 54 more Authors

Citations by Year