Computation of Smallest Eigenvalues using Spectral Schur Complements

DOI10.1137/040603528zbMath1091.65035OpenAlexW2032802290MaRDI QIDQ5470326

C. Bekas, Yousef Saad

Publication date: 30 May 2006

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040603528

zbMATH Keywords

numerical experimentsnonlinear eigenvalue problemKrylov subspacesspectral Schur complementsautomated multilevel substructuring method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Estimates of eigenvalues in context of PDEs (35P15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (10)

Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem ⋮ Beyond Automated Multilevel Substructuring: Domain Decomposition with Rational Filtering ⋮ A locally optimal preconditioned Newton-Schur method for symmetric elliptic eigenvalue problems ⋮ Computing the smallest singular triplets of a large matrix ⋮ A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems ⋮ A survey on variational characterizations for nonlinear eigenvalue problems ⋮ Efficient Solution of Symmetric Eigenvalue Problems from Families of Coupled Systems ⋮ On correction equations and domain decomposition for computing invariant subspaces ⋮ A Domain Decomposition Rayleigh--Ritz Algorithm for Symmetric Generalized Eigenvalue Problems ⋮ Distributed Solution of Laplacian Eigenvalue Problems

Uses Software

• MatrixMarket
• ARPACK
• NASTRAN

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