Invariant subspaces for tightly clustered eigenvalues of tridiagonals

DOI10.1007/BF01731933zbMath0856.15009MaRDI QIDQ1923875

Beresford N. Parlett

Publication date: 25 February 1997

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

eigenvectorsinvariant subspacereal symmetric tridiagonal matrixtightly clustered eigenvalues

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (10)

Fernando's solution to Wilkinson's problem: An application of double factorization ⋮ On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix ⋮ Localization in Matrix Computations: Theory and Applications ⋮ Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices ⋮ On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices ⋮ Eigenpairs of Wilkinson Matrices ⋮ Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations ⋮ An overview of relative \(\sin\Theta\) theorems for invariant subspaces of complex matrices ⋮ The orthogonal Rayleigh quotient iteration (ORQI) method ⋮ An \({\mathcal O}(n^{2})\) algorithm for the bidiagonal SVD

Cites Work

• Unnamed Item
• Unnamed Item
• The numerically stable reconstruction of Jacobi matrices from spectral data
• On close eigenvalues of tridiagonal matrices

This page was built for publication: Invariant subspaces for tightly clustered eigenvalues of tridiagonals