A relative perturbation bound for positive definite matrices

DOI10.1016/S0024-3795(97)00248-6zbMath0887.15016OpenAlexW2064549639WikidataQ127064035 ScholiaQ127064035MaRDI QIDQ1377513

Roy Mathias, Krešimir Veselić

Publication date: 26 January 1998

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)00248-6

zbMATH Keywords

eigenvectorsperturbation boundsymmetric positive definite matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (3)

On Ritz approximations for positive definite operators. I: Theory ⋮ An overview of relative \(\sin\Theta\) theorems for invariant subspaces of complex matrices ⋮ A note on unifying absolute and relative perturbation bounds

Cites Work

• Floating-point perturbations of Hermitian matrices
• Perturbations of the eigenprojections of a factorized Hermitian matrix
• Condition numbers and equilibration of matrices
• Jacobi’s Method is More Accurate than QR
• Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
• Spectral Perturbation Bounds for Positive Definite Matrices
• A Bound for the Matrix Square Root with Application to Eigenvector Perturbation
• Relative Perturbation Techniques for Singular Value Problems
• Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices
• Unnamed Item

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