Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems

DOI10.1007/S10483-007-0614-4zbMath1231.65068OpenAlexW2080470272MaRDI QIDQ940331

Hui-Qing Xie, Hua Dai

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0614-4

zbMATH Keywords

sensitivity analysisrepeated eigenvalueseigenvalue derivativeseigenvector derivativesdamped systems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (5)

Calculation of eigenpair derivatives for symmetric quadratic eigenvalue problem with repeated eigenvalues ⋮ Analyticity of Semisimple Eigenvalues and Corresponding Eigenvectors of Matrix-Valued Functions ⋮ Calculation of eigenpair derivatives for asymmetric damped systems with distinct and repeated eigenvalues ⋮ Eigensensitivity of symmetric damped systems with repeated eigenvalues by generalized inverse ⋮ An eigenspace method for computing derivatives of semi-simple eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems

Cites Work

• Unnamed Item
• Noether's theorem for nonholonomic systems of non-Chetaev's type with unilateral constraints in event space
• Accelerated Iterative Procedure for Calculating Eigenvector Derivatives
• Perturbation Theory for Analytic Matrix Functions: The Semisimple Case
• Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
• Davidson method for eigenpairs and their partial derivatives of generalized eigenvalue problems

This page was built for publication: Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems