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Tichý, Petr

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Author ID: tichy.petr Recent zbMATH articles by "Tichý, Petr"
Published as: Tichý, P.; Tichý, Petr
Homepage: http://www.karlin.mff.cuni.cz/~ptichy/
External Links: ORCID · dblp
Documents Indexed: 25 Publications since 1998, including 1 Book
Reviewing Activity: 8 Reviews

Publications by Year

Citations contained in zbMATH

17 Publications have been cited 103 times in 77 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
26
2002
Error estimation in preconditioned conjugate gradients. Zbl 1095.65029
Strakoš, Zdeněk; Tichý, Petr
14
2005
Convergence analysis of Krylov subspace methods. Zbl 1071.65041
Liesen, Jörg; Tichý, Petr
10
2004
The worst-case GMRES for normal matrices. Zbl 1053.65021
Liesen, Jörg; Tichý, Petr
9
2004
On sensitivity of Gauss-Christoffel quadrature. Zbl 1117.41023
O’Leary, Dianne P.; Strakoš, Zdeněk; Tichý, Petr
7
2007
On computing quadrature-based bounds for the \(A\)-norm of the error in conjugate gradients. Zbl 1261.65034
Meurant, Gérard; Tichý, Petr
6
2013
On efficient numerical approximation of the bilinear form \(c^*A^{-1}b\). Zbl 1227.65033
Strakoš, Zdeněk; Tichý, Petr
6
2011
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
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
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
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
1
2014
Properties of worst-case GMRES. Zbl 1291.65096
Faber, Vance; Liesen, Jörg; Tichý, Petr
1
2013
On estimation of the \(A\)-norm of the error in CG and PCG. Zbl 1354.90173
Strakoš, Zdeněk; Tichý, Petr
1
2003
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
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
1
2014
On computing quadrature-based bounds for the \(A\)-norm of the error in conjugate gradients. Zbl 1261.65034
Meurant, Gérard; Tichý, Petr
6
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
6
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
14
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
10
2004
The worst-case GMRES for normal matrices. Zbl 1053.65021
Liesen, Jörg; Tichý, Petr
9
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
26
2002
all top 5

Cited by 131 Authors

11 Strakoš, Zdeněk
10 Meurant, Gérard A.
9 Tichý, Petr
4 Li, Rencang
4 Liesen, Jörg
3 Arioli, Mario
3 Carson, Erin Claire
3 Duintjer Tebbens, Jurjen
2 Bevilacqua, Roberto
2 Del Corso, Gianna M.
2 Dolejší, Vít
2 Morgan, Ronald B.
2 Papež, Jan
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 Beckermann, Bernhard
1 Bollhöfer, Matthias
1 Bouyouli, R.
1 Chae, Minwoo
1 Chen, Caihua
1 Chen, Tyler
1 Constantine, Paul G.
1 Cools, Siegfried
1 Cui, Tiangang
1 Danilov, Dmitry I.
1 Dessole, M.
1 Du, Lei
1 Eisenträger, S.
1 Embree, Mark
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 Greenbaum, Anne
1 Grover, Priyanka
1 Guo, Shaoyan
1 Gutknecht, Martin H.
1 Hao, Shoulin
1 Higham, Nicholas J.
1 Hnětynková, Iveta
1 Jia, Zhigang
1 Karami, Saeed
1 Karátson, János
1 Kressner, Daniel
1 Kuchta, Miroslav
1 Kyanfar, Faranges
1 Ling, Sitao
1 Liu, Yong-Jin
1 Loghin, Daniel
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 Nguyen, Huy V.
1 Nordaas, Magne
1 O’Leary, Dianne P.
1 Orban, Dominique
1 Pestana, Jennifer
1 Philippe, Bernard J.
1 Phipps, Eric T.
1 Pozza, Stefano
1 Quintana-Ortí, Enrique S.
1 Robini, Marc C.
1 Rohwedder, Thorsten
1 Rozlozník, Miroslav
1 Sakurai, Tetsuya
1 Saunders, Michael A.
1 Schneider, Reinhold
1 Schweitzer, Marcel
1 Šebestová, Ivana
1 Sharon, Nir
1 Shkolnisky, Yoel
1 Sleijpen, Gerard L. G.
...and 31 more Authors

Citations by Year