Preconditioning constrained eigenvalue problems

DOI10.1016/j.laa.2009.02.018zbMath1170.65028OpenAlexW2124872891MaRDI QIDQ1025859

C. G. Baker, Richard B. Lehoucq

Publication date: 23 June 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.02.018

zbMATH Keywords

eigenvaluespreconditioningeigenvectorsprojectionlinear equality constraints

Mathematics Subject Classification ID

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

Related Items (2)

REDUCED BASIS APPROXIMATION ANDA POSTERIORIERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS ⋮ A solution procedure for constrained eigenvalue problems and its application within the structural finite-element code NOSA-ITACA

Uses Software

• lobpcg.m

Cites Work

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• Eigenproblems associated with the discrete LBB condition for incompressible finite elements
• An orthogonal accelerated deflation technique for large symmetric eigenproblems
• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• The trace minimization method for the symmetric generalized eigenvalue problem
• Trust-region methods on Riemannian manifolds
• Approximate inverse preconditioning in the parallel solution of sparse eigenproblems
• Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
• Implicitly restarted Arnoldi with purification for the shift-invert transformation
• Numerical solution of saddle point problems
• Multilevel Block Factorization Preconditioners
• Dynamical Systems and Non-Hermitian Iterative Eigensolvers
• How to Implement the Spectral Transformation
• A Trace Minimization Algorithm for the Generalized Eigenvalue Problem
• A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems
• Eigenvalues of Block Matrices Arising from Problems in Fluid Mechanics
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods

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