A partial preconditioned conjugate gradient method for large eigenproblems

DOI10.1016/0045-7825(87)90023-5zbMath0621.65027OpenAlexW1972467547MaRDI QIDQ1090067

Michalis Yakoumidakis, Manolis Papadrakakis

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90023-5

zbMATH Keywords

numerical examplesconjugate gradient methodRayleigh quotientsuccessive overrelaxationlarge symmetric eigenvalue problemsSSOR preconditioning

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (4)

A global preconditioner for the element-by-element solution methods ⋮ Multigrid solution procedures for structural dynamics eigenvalue problems ⋮ On the preconditioned conjugate gradient method for solving (A – λB)X =0 ⋮ Eigenvalue extraction for large finite element models using a new conjugate gradient algorithm

Cites Work

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• Computing Eigenvalues of Complex Matrices by Determinant Evaluation and by Methods of Danilewski and Wielandt
• The computational efficiency of a new minimization algorithm for eigenvalue analysis
• The Use of Pre-conditioning in Iterative Methods for Solving Linear Equations with Symmetric Positive Definite Matrices
• Optimal gradient minimization scheme for finite element eigenproblems

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