On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems

DOI10.1137/S1064827596299755zbMath0917.65035OpenAlexW1998840545MaRDI QIDQ4389314

Gene H. Golub, Kincho H. Law, Tong Zhang

Publication date: 12 May 1998

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

Full work available at URL: https://doi.org/10.1137/s1064827596299755

zbMATH Keywords

perturbation theoryeigenvectorshomotopy methodRayleigh quotient iterationmultiple eigenvaluesgeneralized eigenvalue problemsmultigrid schemesymmetric matrix pencilsymmetric eigenvalue problemsmodified eigenvalue problems

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrix pencils (15A22)

Related Items (8)

On the maximization of the fundamental eigenvalue in topology optimization ⋮ Continuous methods for symmetric generalized eigenvalue problems ⋮ Boundary-variation solution of eigenvalue problems for elliptic operators. ⋮ A Homotopy Method for Finding All Solutions of a Multiparameter Eigenvalue Problem ⋮ Fiber product homotopy method for multiparameter eigenvalue problems ⋮ A prediction-correction dynamic method for large-scale generalized eigenvalue problems ⋮ Eigenvalue perturbation and generalized Krylov subspace method ⋮ Eigenvalue computation in the 20th century

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