Detecting a hyperbolic quadratic eigenvalue problem by using a subspace algorithm

DOI10.1007/s11075-019-00702-0zbMath1434.65037OpenAlexW2942642167MaRDI QIDQ2290930

Marija Miloloža Pandur

Publication date: 29 January 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00702-0

zbMATH Keywords

quadratic eigenvalue problemsubspace algorithmoverdamped

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Packaged methods for numerical algorithms (65Y15) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical solutions to inverse eigenvalue problems (65F18)

Uses Software

• NLEVP
• quadeig
• GitHub

Cites Work

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• Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification
• Damped oscillations of linear systems. A mathematical introduction
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• Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems
• Trace minimization and definiteness of symmetric pencils
• Backward error and condition of polynomial eigenvalue problems
• The Quadratic Eigenvalue Problem
• THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM
• NLEVP
• An algorithm for the complete solution of quadratic eigenvalue problems
• An Improved Arc Algorithm for Detecting Definite Hermitian Pairs
• Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems
• Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
• Preconditioned gradient iterations for the eigenproblem of definite matrix pairs
• Algorithms for hyperbolic quadratic eigenvalue problems
• Inverse Spectral Problems for Semisimple Damped Vibrating Systems

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