Componentwise fast convergence in the solution of full-rank systems of nonlinear equations

DOI10.1007/s101070100287zbMath1012.65046OpenAlexW2124630750WikidataQ58185836 ScholiaQ58185836MaRDI QIDQ1849502

Annick Sartenaer, Dominique Orban, Nicholas I. M. Gould, Phillipe L. Toint

Publication date: 1 December 2002

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: http://purl.org/net/epubs/manifestation/327/raltr-2000040.pdf

zbMATH Keywords

algorithmNewton's methodnumerical experimentssystems of nonlinear equationsasymptotic convergencepath-following methodsQ-superlinear convergencefull-rank systems

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)

Related Items

A stable primal-dual approach for linear programming under nondegeneracy assumptions, An Interior-Point $$\boldsymbol{\ell_{1}}$$ -Penalty Method for Nonlinear Optimization, A local convergence property of primal-dual methods for nonlinear programming, Local convergence analysis of a primal-dual method for bound-constrained optimization without SOSC, Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming

Uses Software

• PITCON