A parallel continuation algorithm for nonlinear eigenvalue problems

DOI10.1016/0898-1221(94)90151-1zbMath0792.65033OpenAlexW2047317590MaRDI QIDQ1324409

V. Pereyra

Publication date: 24 May 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90151-1

zbMATH Keywords

bifurcationsnonlinear eigenvalue problemsdistributed memory multiprocessorparallel continuation algorithmsemilinear eigenvalue problems

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Parallel numerical computation (65Y05) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (1)

Conjugate gradient methods for continuation problems. II

Cites Work

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• Large sparse continuation problems
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• Bifurcations of corank greater than two
• Continuation-minimization methods for stability problems
• Eigenvalues of the Laplacian in Two Dimensions
• On Tracing an Implicitly Defined Curve by Quasi-Newton Steps and Calculating Bifurcation by Local Perturbations
• Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue Problem
• Continuation and Local Perturbation for Multiple Bifurcations

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