A modified trust region algorithm for nonlinear equations with new updating rule of trust region radius

DOI10.1080/00207160802691645zbMath1207.65055OpenAlexW1974785493MaRDI QIDQ3066965

Jianyu Pan, Jin Yan Fan

Publication date: 20 January 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802691645

zbMATH Keywords

quadratic convergencenonlinear equationstrust region methodlocal error bound condition

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (14)

On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation ⋮ A line search trust-region algorithm with nonmonotone adaptive radius for a system of nonlinear equations ⋮ A new adaptive trust-region method for system of nonlinear equations ⋮ A new class of nonmonotone adaptive trust-region methods for nonlinear equations with box constraints ⋮ On the modified trust region algorithm for nonlinear equations ⋮ Nonmonotone Self-adaptive Levenberg–Marquardt Approach for Solving Systems of Nonlinear Equations ⋮ A trust-region approach with novel filter adaptive radius for system of nonlinear equations ⋮ A new nonmonotone line-search trust-region approach for nonlinear systems ⋮ Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization ⋮ An efficient conjugate gradient trust-region approach for systems of nonlinear equation ⋮ An efficient adaptive trust-region method for systems of nonlinear equations ⋮ An effective trust-region-based approach for symmetric nonlinear systems ⋮ Improved convergence results of an efficient Levenberg-Marquardt method for nonlinear equations ⋮ A trust-region method with improved adaptive radius for systems of nonlinear equations

This page was built for publication: A modified trust region algorithm for nonlinear equations with new updating rule of trust region radius