Lanczos algorithm for the quadratic eigenvalue problem in engineering applications

DOI10.1016/0045-7825(93)90113-CzbMath0771.73095OpenAlexW2078481482MaRDI QIDQ2367991

C. Rajakumar

Publication date: 22 August 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90113-c

zbMATH Keywords

characteristic matrixLanczos biorthogonal transformationLanczos two-sided recursion

Mathematics Subject Classification ID

Related Items (8)

Unnamed Item ⋮ A modified modal analysis method for damped multi‐degree‐of‐freedom‐systems in structural mechanics ⋮ Discrete least-squares technique for eigenvalues. I: The one-dimensional case ⋮ A reformulated Arnoldi algorithm for non-classically damped eigenvalue problems ⋮ On reduction schemes and the symmetry of a matrix ⋮ Accurate method for harmonic responses of non-classically damped systems in the middle frequency range ⋮ Numerical algorithms for undamped gyroscopic systems ⋮ A Numerical Method to Solve Nonsymmetric Eigensystems Applied to Dynamics of Turbomachinery

Cites Work

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• Applications of the Lanczos method
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• Eigenproblems from finite element analysis of fluid-structure interactions
• A solution of the eigenproblem for undamped gyroscopic systems with the Lanczos algorithm
• Development of a block Lanczos algorithm for free vibration analysis of spinning structures
• Structural dynamics analysis using an unsymmetric block Lanczos algorithm
• Solution of eigenproblems for damped structural systems by the Lanczos algorithm
• A subspace iteration method for the eigensolution of large undamped gyroscopic systems
• The Lanczos algorithm applied to unsymmetric generalized eigenvalue problem
• Linearization of the quadratic eigenvalue problem
• A generalized inverse iteration method for solution of quadratic eigenvalue problems in structural dynamic analysis
• Lanczos algorithm with selective reorthogonalization for eigenvalue extraction in structural dynamic and stability analysis

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