On roots of functional lambda matrices

DOI10.1016/0045-7825(83)90102-0zbMath0504.65015OpenAlexW2041010602MaRDI QIDQ1836270

Yanyan Li

Publication date: 1983

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(83)90102-0

zbMATH Keywords

eigenvaluesQR- algorithmfunctional lambda matricessensitivities of the roots

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54)

Related Items (5)

Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method ⋮ Methods and algorithms of solving spectral problems for polynomial and rational matrices ⋮ Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods ⋮ A survey on variational characterizations for nonlinear eigenvalue problems ⋮ Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian

Uses Software

• LINPACK

Cites Work

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• A ccuracy and speed of real and complex interpolation
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Sensitivity minimization of networks with operational amplifiers and parasitics
• Calculation of Eigenvalue and Eigenvector Derivatives for Algebraic Flutter and Divergence Eigenproblems
• Rates of change of eigenvalues and eigenvectors.
• Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
• On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices
• An Algorithm for Generalized Matrix Eigenvalue Problems
• Algorithms for the Nonlinear Eigenvalue Problem

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