On a numerical treatment for the curve-tracing of the homotopy method

DOI10.1007/BF01389577zbMath0504.65039OpenAlexW2080899641MaRDI QIDQ1836283

Moody T. Chu

Publication date: 1983

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132880

zbMATH Keywords

homotopy methoddomain of attractionNewton-like iterationcontinuous Newton- Raphson methodcurve-tracing

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Related Items

A Newton’s iteration converges quadratically to nonisolated solutions too, An efficient algorithm for a class of equality-constrained optimization problems, On the use of predictor-corrector continuation to trace implicitly defined curves and calculating bifurcation, A simple application of the homotopy method to symmetric eigenvalue problems, The theory of Newton's method

Cites Work

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• Continuous Newton-Raphson method for solving and underdetermined system of nonlinear equations