Current inverse iteration software can fail

DOI10.1007/BF02510409zbMath0918.65025MaRDI QIDQ1279696

Inderjit S. Dhillon

Publication date: 17 August 1999

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenvectorsinverse iterationreal symmetric matricesLAPACKEISEPACKreorthogonaliszation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Packaged methods for numerical algorithms (65Y15) Orthogonalization in numerical linear algebra (65F25)

Related Items

On computing the eigenvectors of a class of structured matrices ⋮ Restructuring the Tridiagonal and Bidiagonal QR Algorithms for Performance ⋮ Structured Eigenvalue Problems

Uses Software

• LAPACK
• CLAPACK
• EISPACK

Cites Work

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• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Fernando's solution to Wilkinson's problem: An application of double factorization
• Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices
• Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
• Improving the Accuracy of Inverse Iteration
• Computing an Eigenvector with Inverse Iteration
• On Computing an Eigenvector of a Tridiagonal Matrix. Part I: Basic Results
• The Calculation of the Eigenvectors of Codiagonal Matrices
• Unitary Triangularization of a Nonsymmetric Matrix