Convexity analysis of the largest dependent eigenvalue functions of eigensystems

DOI10.1016/S0096-3003(99)00043-0zbMath1023.65028MaRDI QIDQ1569164

Mohammedi R. Abdel-Aziz

Publication date: 25 June 2000

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

zbMATH Keywords

vibrationsmixed finite elementmass and stiffness matricesconvexity analysisfrequency dependent eigensystemslargest eigenvalue functionsnonlinear structural eigensystems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (1)

Computing eigenpairs of quadratic eigensystems

Uses Software

• eigs
• IRAM

Cites Work

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• Sensitivity analysis of the largest dependent eigenvalue functions of eigensystems
• A monotonicity analysis theory for the dependent eigenvalues of the vibrating systems
• Comparison of computational effectiveness of the finite element formulations in free vibration analyses
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Safeguarded use of the implicit restarted lanczos technique for solving non‐linear structural eigensystems
• Algorithms for the Nonlinear Eigenvalue Problem
• Introduction to Finite Element Vibration Analysis

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