On smoothness and invariance properties of the gauss-newton method

DOI10.1080/01630569308816536zbMath0795.65027OpenAlexW2003924954MaRDI QIDQ4293273

Wolf-Jürgen Beyn

Publication date: 30 August 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://pub.uni-bielefeld.de/record/1784250

zbMATH Keywords

invariancefoliationsmoothnessGauss-Newton methodsolution manifolds

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Uses Software

• PITCON
• ALCON

Cites Work

• On the computation of multi-dimensional solution manifolds of parametrized equations
• Efficient Numerical Pathfollowing Beyond Critical Points
• Continuation and Collocation for Parameter-Dependent Boundary Value Problems
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• Convergence Cones Near Bifurcation
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