Zobrazeno 1 - 10
of 682
pro vyhledávání: '"G. Sleijpen"'
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
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
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
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
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
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
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
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
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
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