Computing Derivatives of Repeated Eigenvalues and Corresponding Eigenvectors of Quadratic Eigenvalue Problems

DOI10.1137/120879841zbMath1286.65049OpenAlexW2030922334MaRDI QIDQ2866225

Jiang Qian, Delin Chu, Roger C. E. Tan, Alan L. Andrew

Publication date: 13 December 2013

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120879841

zbMATH Keywords

algorithmquadratic eigenvalue problemsmultiple eigenvaluesderivatives of eigenvalues and eigenvectors

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical differentiation (65D25)

Related Items (10)

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 ⋮ An incomplete modal method for eigenvector derivatives of polynomial eigenvalue problems ⋮ A new method for eigenvector derivatives of a quadratic eigenvalue problem ⋮ An iterative method for simultaneously computing the derivatives of simple and multiple eigenpairs of a quadratic eigenvalue problem ⋮ An improved method for computing eigenpair derivatives of damped system ⋮ Eigensensitivity of symmetric damped systems with repeated eigenvalues by generalized inverse ⋮ A Systematic Analysis on Analyticity of Semisimple Eigenvalues of Matrix-Valued Functions ⋮ An eigenspace method for computing derivatives of semi-simple eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems

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