The generalized eigenvalue problem and acoustic surface wave computations

DOI10.1007/BF02307713zbMath0626.65034OpenAlexW272539284MaRDI QIDQ580900

Jianyong Qiao, Sumit K. Garg

Publication date: 1987

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307713

zbMATH Keywords

numerical examplesnonlinear eigenvalue problemsQR decompositionmatrix polynomialLU decompositionacoustic surface wave

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Surface waves in solid mechanics (74J15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

On the numerical solution of nonlinear eigenvalue problems, Solution of discontinuous interior Helmholtz problems by the boundary and shell element method, Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids, Successive linear Newton interpolation methods for solving the large-scale nonlinear eigenvalue problems, Methods and algorithms of solving spectral problems for polynomial and rational matrices, The nonlinear eigenvalue problem, Love waves in a three-layer elastic half-space, Large-scale complex eigenvalue problems, Love waves in a stratified monocline medium, Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian

Uses Software

• EISPACK

Cites Work

• Solving nonlinear eigenvalue problems by algorithmic differentiation
• Matrix eigensystem routines - EISPACK guide
• $Ax = \lambda Bx$ and the Generalized Eigenproblem
• On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices
• Algorithms for the Nonlinear Eigenvalue Problem
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