Spectral sensitivity of products of bidiagonals

DOI10.1016/S0024-3795(97)10052-0zbMath0933.15010MaRDI QIDQ1307220

Beresford N. Parlett

Publication date: 4 April 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluetridiagonal matricescondition numbersproducts of bidiagonalsspectral sensitivity

Mathematics Subject Classification ID

Conditioning of matrices (15A12)

Related Items (3)

Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix ⋮ Relatively robust representations of symmetric tridiagonals ⋮ Relative Perturbation Analysis for Eigenvalues and Singular Values of Totally Nonpositive Matrices

Cites Work

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• Floating-point perturbations of Hermitian matrices
• Accurate Singular Values of Bidiagonal Matrices
• On linear vibrational systems with one dimensional damping
• The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics
• Jacobi’s Method is More Accurate than QR
• On Scaled Almost-Diagonal Hermitian Matrix Pairs
• Relative Perturbation Techniques for Singular Value Problems
• Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices

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