Eigenpairs of Wilkinson Matrices

DOI10.1137/20M1327343zbMath1458.65037MaRDI QIDQ5146614

Beresford N. Parlett, Carla Ferreira

Publication date: 26 January 2021

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

eigensystemWilkinson matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Uses Software

• OEIS

Cites Work

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• Fernando's solution to Wilkinson's problem: An application of double factorization
• Invariant subspaces for tightly clustered eigenvalues of tridiagonals
• The Jacobi Method for Real Symmetric Matrices
• New Fast and Accurate Jacobi SVD Algorithm. I
• Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix
• Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices
• Computational Variants of the Lanczos Method for the Eigenproblem
• The Calculation of the Eigenvectors of Codiagonal Matrices

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