Sensitivity analysis of the largest dependent eigenvalue functions of eigensystems

DOI10.1016/S0096-3003(98)00031-9zbMath0934.65048MaRDI QIDQ1294264

Mohammedi R. Abdel-Aziz, Salah M. El-Sayed

Publication date: 25 April 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

sensitivity analysisLanczos methodsymmetric tridiagonal matrixeigenvalue functionseigensystemsnonlinear symmetric matrix eigenvalue problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (2)

Convexity analysis of the largest dependent eigenvalue functions of eigensystems ⋮ Computation of eigenvalues in proportionally damped viscoelastic structures based on the fixed-point iteration

Uses Software

• eigs
• IRAM

Cites Work

• Unnamed Item
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• Reliable use of determinants to solve non-linear structural eigenvalue problems efficiently
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• On development of a finite dynamic element and solution of associated eigenproblem by a block Lanczos procedure
• Safeguarded use of the implicit restarted lanczos technique for solving non‐linear structural eigensystems
• Eigenvalue perturbations and nonlinear parametric optimization
• Solution of quadratic matrix equations for free vibration analysis of structures
• Algorithms for the Nonlinear Eigenvalue Problem

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