Several properties of invariant pairs of nonlinear algebraic eigenvalue problems

DOI10.1093/imanum/drt026zbMath1297.65057OpenAlexW2313243087MaRDI QIDQ5495659

Fei Xue, Daniel B. Szyld

Publication date: 6 August 2014

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f65e1d8c25631ad072e361af918994bf82a507a5

zbMATH Keywords

numerical exampleNewton's methodnonlinear eigenvalue problemsperturbation analysisNewton-Kantorovich theoremJordan chainsapproximation errorRayleigh functionalinvariant pairs

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

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Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues ⋮ A Block Preconditioned Harmonic Projection Method for Large-Scale Nonlinear Eigenvalue Problems ⋮ Eigenvalue embedding problem for quadratic regular matrix polynomials with symmetry structures ⋮ Disguised and new quasi-Newton methods for nonlinear eigenvalue problems ⋮ The nonlinear eigenvalue problem ⋮ A note on the computation of invariant pairs of quadratic matrix polynomials ⋮ Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property ⋮ Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms ⋮ Inexact inverse subspace iteration with preconditioning applied to quadratic matrix polynomials ⋮ A contour integral approach to the computation of invariant pairs

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