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- 1.0482261 - ÚI 2018 NL eng J - Journal Article
Gergelits, Tomáš - Strakoš, Zdeněk
Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations.
Numerical Algorithms. Roč. 65, č. 4 (2014), s. 759-782. ISSN 1017-1398. E-ISSN 1572-9265
Keywords : linear-systems * superlinear convergence * differential-equations * lanczos-algorithm * error estimation * recurrences * quadrature * accuracy * behavior * matrix * Conjugate gradient method * Stieltjes moment problem * Chebyshev * semi-iterative method * Composite polynomial * convergence bounds * Finite precision computations * Clusters of eigenvalues
Impact factor: 1.417, year: 2014
Permanent Link: http://hdl.handle.net/11104/0277643 - 2.0402720 - UIVT-O 960056 CZ eng V - Research Report
Pták, Vlastimil
Krylov Sequences and Orthogonal Polynomials.
Prague: ICS AS CR, 1995. 10 s. Technical Report, V-659.
R&D Projects: GA AV ČR IAA230401
Keywords : Krylov sequences * orthogonal polynomials * Lanczos algorithm * three-term recurrence relation
Permanent Link: http://hdl.handle.net/11104/0123105File Download Size Commentary Version Access v659-96.pdf 7 161.2 KB Other open-access - 3.0358802 - ÚI 2012 RIV US eng J - Journal Article
Strakoš, Z. - Tichý, Petr
On Efficient Numerical Approximation of the Bilinear Form c* A(-1)b.
SIAM Journal on Scientific Computing. Roč. 33, č. 2 (2011), s. 565-587. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA ČR(CZ) GA201/09/0917; GA AV ČR(CZ) M100300901
Program: GA
Institutional research plan: CEZ:AV0Z10300504
Keywords : bilinear forms * scattering amplitude * method of moments * Krylov subspace methods * conjugate gradient method * biconjugate gradient method * Lanczos algorithm * Arnoldi algorithm * Gauss-Christoffel quadrature * model reduction
Subject RIV: BA - General Mathematics
Impact factor: 1.569, year: 2011
Permanent Link: http://hdl.handle.net/11104/0196736File Download Size Commentary Version Access 0358802.pdf 2 956.2 KB Author´s preprint open-access