Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems
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Publication:1611915
DOI10.1016/S0024-3795(02)00281-1zbMath1004.65045WikidataQ56998828 ScholiaQ56998828MaRDI QIDQ1611915
Nicholas J. Higham, Françoise Tisseur, Paul Van Dooren
Publication date: 28 August 2002
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Crawford numberlevel set algorithmbisection algorithmdefinite generalized eigenvalue problemsdefinite Hermitian pairhyperbolic quadratic eigenvalue problems
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Uses Software
Cites Work
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- Finding a positive definite linear combination of two Hermitian matrices
- Symmetric matrix pencils
- Perturbation bounds for the definite generalized eigenvalue problem
- A Jacobi eigenreduction algorithm for definite matrix pairs
- The nearest definite pair for the Hermitian generalized eigenvalue problem
- Backward error and condition of polynomial eigenvalue problems
- The Quadratic Eigenvalue Problem
- The Rayleigh-Ritz method for dissipative or gyroscopic systems
- Semidefinite optimization
- A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
- Overdamped and Gyroscopic Vibrating Systems
- Algorithm 646
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