Zobrazeno 1 - 10
of 55
pro vyhledávání: '"G. Sleijpen"'
Publikováno v:
Numerical Linear Algebra with Applications. 22:1-25
We give two generalizations of the induced dimension reduction (IDR) approach for the solution of linear systems. We derive a flexible and a multi-shift quasi-minimal residual IDR variant. These variants are based on a generalized Hessenberg decompos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8041e8c270c8ff842e8031688c850c9
https://doi.org/10.1002/nla.1935
https://doi.org/10.1002/nla.1935
Publikováno v:
Applied Numerical Mathematics. 60:1100-1114
The Induced Dimension Reduction method [P. Wesseling, P. Sonneveld, Numerical experiments with a multiple grid- and a preconditioned Lanczos type method, in: Lecture Notes in Mathematics, vol. 771, Springer-Verlag, Berlin, 1980, pp. 543-562] was prop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0216be81003c990580d1613ecd7dea9d
https://doi.org/10.1016/j.apnum.2009.07.001
https://doi.org/10.1016/j.apnum.2009.07.001
Autor:
Gerard L. G. Sleijpen, Kuniyoshi Abe
Publikováno v:
Journal of Computational and Applied Mathematics. 234:985-994
We propose Bi-Conjugate Residual (BiCR) variants of the hybrid Bi-Conjugate Gradient (BiCG) methods (referred to as the hybrid BiCR variants) for solving linear systems with nonsymmetric coefficient matrices. The recurrence formulas used to update an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::339b3c90dea1243c5eba495141e7b14b
https://doi.org/10.1016/j.cam.2009.03.003
https://doi.org/10.1016/j.cam.2009.03.003
Publikováno v:
SIAM Journal on Scientific Computing, 32 (5), 2010
IDR($s$) [P. Sonneveld and M. B. van Gijzen, SIAM J. Sci. Comput., 31 (2008), pp. 1035-1062] and BiCGstab($\ell$) [G. L. G. Sleijpen and D. R. Fokkema, Electron. Trans. Numer. Anal., 1 (1993), pp. 11-32] are two of the most efficient short-recurrence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60ca7df83e58db1f3bb4df1a64ddb15b
https://doi.org/10.1137/090752341
https://doi.org/10.1137/090752341
Autor:
Gerard L. G. Sleijpen, Joost Rommes
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 30:346-363
The dominant poles of a transfer function are specific eigenvalues of the state space matrix of the corresponding dynamical system. In this paper, two methods for the computation of the dominant poles of a large scale transfer function are studied: t
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https://explore.openaire.eu/search/publication?articleId=doi_________::856007a3cde3f3967d48eff2f0333875
https://doi.org/10.1137/060671401
https://doi.org/10.1137/060671401
Publikováno v:
Numerical Linear Algebra with Applications, 15(1), 35-54. Wiley
After reviewing the harmonic Rayleigh–Ritz approach for the standard and generalized eigenvalue problem, we discuss several extraction processes for subspace methods for the polynomial eigenvalue problem. We generalize the harmonic and refined Rayl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15ceabf798c500582a32333d858b60e1
https://doi.org/10.1002/nla.562
https://doi.org/10.1002/nla.562
Publikováno v:
Journal of Computational and Applied Mathematics, 200(1), 317-341. Elsevier
This paper deals with numerical approximation of the two-dimensional Poincaré equation that arises as a model for internal wave motion in enclosed containers. Inspired by the hyperbolicity of the equation we propose a discretisation particularly sui
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd5ba55edacd6d8cf5297121a8168d9f
https://hdl.handle.net/11245/1.271295
https://hdl.handle.net/11245/1.271295
Publikováno v:
Journal of Computational and Applied Mathematics. 177:347-365
This paper studies computational aspects of Krylov methods for solving linear systems where the matrix–vector products dominate the cost of the solution process because they have to be computed via an expensive approximation procedure. In recent ye
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56ec1b50d941c6772e5e0240f41bf5a3
https://doi.org/10.1016/j.cam.2004.09.024
https://doi.org/10.1016/j.cam.2004.09.024
Publikováno v:
Applied Numerical Mathematics. 49:17-37
We consider the solution of the linear system (ATA + σI)Xσ = ATb, for various real values of σ. This family of shifted systems arises, for example, in Tikhonov regularization and computations in lattice quantum chromodynamics. For each single shif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86f67465fc6e11261aa9e9772a074b55
https://doi.org/10.1016/j.apnum.2003.11.010
https://doi.org/10.1016/j.apnum.2003.11.010
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 26:125-153
There is a class of linear problems for which the computation of the matrix-vector product is very expensive since a time consuming method is necessary to approximate it with some prescribed relative precision. In this paper we investigate the impact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::446392e81ce565e233873eaca2b72f59
https://doi.org/10.1137/s0895479802403459
https://doi.org/10.1137/s0895479802403459