Condition Estimates for Pseudo‐Arclength Continuation

DOI10.1137/060654384zbMath1137.65036arXivmath/0603716OpenAlexW2113023083MaRDI QIDQ5449036

K. I. Dickson, Ioannis G. Kevrekidis, Ilse C. F. Ipsen, Carl. T. Kelley

Publication date: 10 March 2008

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603716

zbMATH Keywords

eigenvaluesnumerical experimentsconditioningturning pointsystems of nonlinear equationslimit pointrank-one updatepseudo-arclength continuationsingular vectorSingularityfold point

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (6)

Numerical continuation method for nonlinear system of scalar and functional equations ⋮ Computation of viscoelastic fluid flows using continuation methods ⋮ Algorithm 956 ⋮ Rank-one perturbation bounds for singular values of arbitrary matrices ⋮ Linear stability eigenmodal analysis for steady and temporally periodic boundary-layer flow configurations using a velocity-vorticity formulation ⋮ Continuation of Bifurcations of Periodic Orbits for Large-Scale Systems

Uses Software

• AUTO-86

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