On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix

DOI10.1134/s0965542508070026OpenAlexW2028440391MaRDI QIDQ6191499

Alexander N. Malyshev, Sergei Konstantinovich Godunov

Publication date: 7 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf4556

zbMATH Keywords

eigenvalueseigenvectorstridiagonal matrixSturm sequences

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50)

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
• On Computing an Eigenvector of a Tridiagonal Matrix. Part I: Basic Results
• Orthogonal Eigenvectors and Relative Gaps
• Accuracy and Stability of Numerical Algorithms
• Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
• Glued Matrices and the MRRR Algorithm

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