Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems

DOI10.1016/j.cam.2015.04.019zbMath1503.65075OpenAlexW1998801003MaRDI QIDQ2351076

Andrej Muhič, Michiel E. Hochstenbach, Bor Plestenjak

Publication date: 22 June 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.04.019

zbMATH Keywords

determinantal representationJacobi-Davidson methodsdelay differential equations (DDEs)bivariate polynomial equationspolynomial two-parameter eigenvalue problem (PMEP)singular generalized eigenvalue problem

Mathematics Subject Classification ID

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

Related Items (5)

Numerical methods for nonlinear two-parameter eigenvalue problems ⋮ Computing several eigenvalues of nonlinear eigenvalue problems by selection ⋮ Approximation of damped quadratic eigenvalue problem by dimension reduction ⋮ Roots of Bivariate Polynomial Systems via Determinantal Representations ⋮ The homotopy method for the complete solution of quadratic two-parameter eigenvalue problems

Uses Software

• Matlab
• PHCpack
• Chebfun
• PHClab
• rootsb
• Chebfun2
• MultiParEig

Cites Work

• Unnamed Item
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• Matrix Algorithms
• A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations
• On the singular two-parameter eigenvalue problem
• Harmonic and refined Rayleigh–Ritz for the polynomial eigenvalue problem
• Algorithm 795
• A Jacobi--Davidson Type Method for the Two-Parameter Eigenvalue Problem
• A Jacobi--Davidson Type Method for a Right Definite Two-Parameter Eigenvalue Problem
• Numerical Polynomial Algebra
• An Extension of Chebfun to Two Dimensions

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