An algorithm for solution of large eigenvalue problems

DOI10.1016/0045-7949(86)90203-8zbMATH Open0595.73096OpenAlexW2026947769MaRDI QIDQ3727531

Author name not available (Why is that?)

Publication date: 1986

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(86)90203-8

zbMATH Keywords

mode shapesnatural frequenciesfactorizationapproximatelarge structural systemsbasic subspace iterationconjugate gradient (CG) algorithmelement-by-element (EBE) preconditioningminimization of unconstrained quadratic function

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) Vibrations in dynamical problems in solid mechanics (74H45) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (13)

Templates for the Solution of Algebraic Eigenvalue Problems ⋮ On the optimal solution of large eigenpair problems ⋮ Core-Chasing Algorithms for the Eigenvalue Problem ⋮ Comparative study of two algorithms for the calculation of the extreme eigenvalues of large matrices ⋮ Title not available (Why is that?) ⋮ On pole-swapping algorithms for the eigenvalue problem ⋮ Optimal quotients for solving large eigenvalue problems ⋮ Computational methods for large eigenvalue problems ⋮ A numerical method of determining eigenvalues of matrices of arbitrary large size ⋮ An Efficient Eigen-Solver and Some of Its Applications ⋮ An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation ⋮ A method for computing a few eigenpairs of large generalized eigenvalue problems ⋮ An algorithm for an eigenvalues problem in the Earth rotation theory

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