An orthogonal accelerated deflation technique for large symmetric eigenproblems
type: Item
instance of: scholarly article
title: An orthogonal accelerated deflation technique for large symmetric eigenproblems
zbMATH Open document ID: 0754.65039
DOI: 10.1016/0045-7825(92)90154-C
author: G. Gambolati
author: Flavio Sartoretto
author: Paolo Florian
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1992-09-27T00:00:00Z
review text: Eigenvalue algorithms for large sparse symmetric generalized matrix eigenvalue problems based on conjugate gradient minimization of the Rayleigh quotient with incomplete Chebyshev preconditioning are discussed. It is shown on a numerical example that it is faster to use successive deflation than simultaneous iteration, when several of the smallest eigenvalues are sought, (at least when these are simple).
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 61389
zbMATH Keywords: conjugate gradient iterations
zbMATH Keywords: Eigenvalue algorithms
zbMATH Keywords: large sparse symmetric generalized matrix eigenvalue problems
zbMATH Keywords: conjugate gradient minimization
zbMATH Keywords: Rayleigh quotient
zbMATH Keywords: incomplete Chebyshev preconditioning
zbMATH Keywords: numerical example
zbMATH Keywords: successive deflation
zbMATH Keywords: simultaneous iteration
reviewed by: Axel Ruhe
MaRDI profile type: Publication
cites work: Accelerated simultaneous iterations for large finite element eigenproblems
cites work: An improved iterative optimization technique for the leftmost eigenpairs of large symmetric matrices
cites work: Extreme eigenvalues of large sparse matrices by Rayleigh quotient and modified conjugate gradients
cites work: A new look at the Lanczos algorithm for solving symmetric systems of linear equations
cites work: Q4050029
full work available at URL: 0045-7825(92)90154-c
OpenAlex ID: W2059400898
description: scientific article; zbMATH DE number 61389