Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Jasper van den Eshof"'
Publikováno v:
Numerische Mathematik. 101:87-100
This paper provides two results on the numerical behavior of the classical Gram-Schmidt algorithm. The first result states that, provided the normal equations associated with the initial vectors are numerically nonsingular, the loss of orthogonality
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95a5964880d463fc043fe4f414b8102c
https://doi.org/10.1007/s00211-005-0615-4
https://doi.org/10.1007/s00211-005-0615-4
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
Publikováno v:
Linear Algebra and its Applications. 358(1-3):115-137
The goal of this paper is to increase our understanding of harmonic Rayleigh–Ritz for real symmetric matrices. We do this by discussing different, though related topics: a priori error analysis, a posteriori error analysis, a comparison with refine
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::721329745ca0f31d969432534a6816cb
Autor:
Jasper van den Eshof
Publikováno v:
Numerical Linear Algebra with Applications. 9:163-179
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bab836ad6df29e4be4fe5215c5e58624
https://doi.org/10.1002/nla.266
https://doi.org/10.1002/nla.266
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783540212577
There are classes of linear problems for which a matrix-vector product is a time consuming operation because an expensive approximation method is required to compute it to a given accuracy. One important example is simulations in lattice QCD with Neu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::90bf25857943452d0b322bea808c0621
https://doi.org/10.1007/3-540-28504-0_13
https://doi.org/10.1007/3-540-28504-0_13
Autor:
Jasper van den Eshof, G. Arnold, Nigel Cundy, Stefan Krieg, Thomas Lippert, Katrin Schäfer, Andreas Frommer
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783540212577
We investigate optimal choices for the (outer) iteration method to use when solving linear systems with Neuberger’s overlap operator in QCD. Different formulations for this operator give rise to different iterative solvers, which are optimal for th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c3572becd9ced047244f7f027c7d0c9
https://doi.org/10.1007/3-540-28504-0_15
https://doi.org/10.1007/3-540-28504-0_15
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783540249375
NAA
NAA
This paper discusses how to control the accuracy of inexact matrix-vector products in restarted GMRES. We will show that the GMRES iterations can be performed with relatively low accuracy. Furthermore, we will study how to compute the residual at res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3cbc23c8be237b393c15a79be4b99e2
https://doi.org/10.1007/978-3-540-31852-1_60
https://doi.org/10.1007/978-3-540-31852-1_60
Publikováno v:
Preprint / Department of Mathematics, University of Utrecht, 1160
We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of the eigenvalues of the matrix and the angle between the subspace and the eigenvector. We also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::364ebfbd500049224dbb4cae4796d5c3
https://dspace.library.uu.nl/handle/1874/2518
https://dspace.library.uu.nl/handle/1874/2518