A homotopy algorithm for a symmetric generalized eigenproblem

DOI10.1007/BF02142745zbMath0779.65024MaRDI QIDQ1208063

Kuiyuan Li, Tien-Yien Li

Publication date: 16 May 1993

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

comparison of methodshomotopy continuationnumerical examplesparallel computationgeneralized eigenvalue problemmultiprocessorsdivide and conquer strategyhomotopy algorithmeigenpairseigen-curvesreal symmetric matrix pencil

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05)

Related Items

A convex geometric approach to counting the roots of a polynomial system, An algorithm for the generalized symmetric tridiagonal eigenvalue problem, A fully parallel method for the singular eigenvalue problem, A Homotopy Method for Finding All Solutions of a Multiparameter Eigenvalue Problem

Uses Software

• EISPACK

Cites Work

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• $Ax = \lambda Bx$ and the Generalized Eigenproblem
• An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy Continuation
• An Algorithm for the Ill-Conditioned Generalized Eigenvalue Problem