Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter

DOI10.1016/0893-9659(92)90042-8zbMath0757.65038OpenAlexW2091809007MaRDI QIDQ1195625

Alan L. Andrew, Peter Lancaster, King-wah Eric Chu

Publication date: 6 January 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(92)90042-8

zbMATH Keywords

eigenvalue problemeigenvectorsvector parameteranalytic matrix functionpartial derivatives of eigenvaluessensitivities of eigenvalues and eigenvectors

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (1)

Iterative computation of second‐order derivatives of eigenvalues and eigenvectors

Cites Work

• Systematic occurrence of repeated eigenvalues in structural optimization
• Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
• Solution and sensitivity analysis of a complex transcendental eigenproblem with pairs of real eigenvalues
• Overdamped and Gyroscopic Vibrating Systems
• Calculation of Eigenvalue and Eigenvector Derivatives for Algebraic Flutter and Divergence Eigenproblems
• $Ax = \lambda Bx$ and the Generalized Eigenproblem

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