Conditioning analysis of positive definite matrices by approximate factorizations

DOI10.1016/0377-0427(89)90298-7zbMath0678.65029OpenAlexW2058661903WikidataQ114214726 ScholiaQ114214726MaRDI QIDQ1124278

Robert Beauwens, Renaud Wilmet

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90298-7

zbMATH Keywords

finite elementspectral equivalenceconditioning analysisLU factorizationssteady-state diffusion problemsStieltjes matrices

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (17)

HIGH-PERFORMANCE PCG SOLVERS FOR FEM STRUCTURAL ANALYSIS ⋮ Graph perturbations ⋮ On the robustness of modified incomplete factorization methods ⋮ On the conditioning analysis of block approximate factorization methods ⋮ Conditioning analysis of modified block incomplete factorizations ⋮ Solving systems of elastic bar structures by preconditioned conjugate gradient method ⋮ Conditioning analysis of sparse block approximate factorizations ⋮ Lower eigenvalue bounds for singular pencils of matrices ⋮ Raffinement de la borne spectrale d'un faisceau de matrices ⋮ Analytical bounds for block approximate factorization methods ⋮ Iterative solution methods ⋮ Numerical experiences of solving elasticity systems by PCG methods. ⋮ Special issue: Numerical methods and computational mechanics. Selected papers from the Eighth international conference (NMCM98), Miskolc, Hungary, August 24--27, 1998 ⋮ Preconditioning methods for very ill-conditioned three-dimensional linear elasticity problems ⋮ Approximate factorizations with S/P consistently ordered M-factors ⋮ Incomplete factorizations of singular linear systems ⋮ Modified block-approximate factorization strategies

Uses Software

• symrcm

Cites Work

• Unnamed Item
• Unnamed Item
• Upper eigenvalue bounds for pencils of matrices
• On Axelsson's perturbations
• Lower eigenvalue bounds for pencils of matrices
• A class of first order factorization methods
• A generalized SSOR method

This page was built for publication: Conditioning analysis of positive definite matrices by approximate factorizations