Computing eigenvalues occurring in continuation methods with the Jacobi-Davidson QZ method

DOI10.1006/jcph.1997.5844zbMath0899.65033OpenAlexW2103502297MaRDI QIDQ1383040

Jos L. M. van Dorsselaer

Publication date: 27 October 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1997.5844

zbMATH Keywords

linear stabilityeigenvalue problemstationary solutionsbifurcation pointscontinuation methodsdifferential systemJacobi-Davidson QZ algorithm

Mathematics Subject Classification ID

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

Related Items

Linear stability of flow in a differentially heated cavity via large‐scale eigenvalue calculations ⋮ JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices ⋮ The Jacobi-Davidson method ⋮ A fully implicit model of the three-dimensional thermohaline ocean circulation

Uses Software

• JDQR
• JDQZ

Cites Work

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• Practical bifurcation and stability analysis: from equilibrium to chaos.
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• Hybrid Krylov Methods for Nonlinear Systems of Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Simultaneous Iteration Algorithm for Real Matrices
• Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils