An orthogonal accelerated deflation technique for large symmetric eigenproblems

DOI10.1016/0045-7825(92)90154-CzbMath0754.65039OpenAlexW2059400898MaRDI QIDQ1192738

Flavio Sartoretto, Giuseppe Gambolati, Paolo Florian

Publication date: 27 September 1992

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(92)90154-c

zbMATH Keywords

numerical exampleRayleigh quotientconjugate gradient iterationssimultaneous iterationconjugate gradient minimizationEigenvalue algorithmsincomplete Chebyshev preconditioninglarge sparse symmetric generalized matrix eigenvalue problemssuccessive deflation

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of matrix norms, conditioning, scaling (65F35)

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A truncated-CG style method for symmetric generalized eigenvalue problems ⋮ CONJUGATE GRADIENT METHODS FOR SOLVING THE SMALLEST EIGENPAIR OF LARGE SYMMETRIC EIGENVALUE PROBLEMS ⋮ Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues ⋮ Preconditioning constrained eigenvalue problems ⋮ 3-D nested eigenanalysis on finite element grids ⋮ Eigenvalue extraction for large finite element models using a new conjugate gradient algorithm ⋮ A solution procedure for constrained eigenvalue problems and its application within the structural finite-element code NOSA-ITACA ⋮ Numerical comparison of iterative eigensolvers for large sparse symmetric positive definite matrices

Cites Work

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• Extreme eigenvalues of large sparse matrices by Rayleigh quotient and modified conjugate gradients
• An improved iterative optimization technique for the leftmost eigenpairs of large symmetric matrices
• Accelerated simultaneous iterations for large finite element eigenproblems
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations