Relative perturbation theory for matrix eigenproblems in free vibration analysis

DOI10.1080/00207160410001661320zbMath1069.15014OpenAlexW2093178316MaRDI QIDQ4831436

Mohammedi R. Abdel-Aziz

Publication date: 29 December 2004

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160410001661320

zbMATH Keywords

matrix eigenvaluesrelative perturbation

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Matrix pencils (15A22) Free motions in linear vibration theory (70J30)

Related Items (1)

Bounds for relative distances of eigenvalues in free vibration analysis

Uses Software

• IPSEN

Cites Work

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• A monotonicity analysis theory for the dependent eigenvalues of the vibrating systems
• Relative perturbation theory for hyperbolic singular value problem
• Singular values, doubly stochastic matrices, and applications
• Comparison of computational effectiveness of the finite element formulations in free vibration analyses
• Matrix Analysis
• Jacobi’s Method is More Accurate than QR
• Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds
• Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
• Spectral Perturbation Bounds for Positive Definite Matrices

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