A new backtracking inexact BFGS method for symmetric nonlinear equations

Authors:
Gonglin Yuan;Xiwen Lu
Affiliations:
School of Science, East China University of Science and Technology, Shanghai, 200237, PR China;School of Science, East China University of Science and Technology, Shanghai, 200237, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 9
Cited 3

Practical methods of optimization; (2nd ed.)

Practical methods of optimization; (2nd ed.)
A tool for the analysis of Quasi-Newton methods with application to unconstrained minimization

SIAM Journal on Numerical Analysis
Testing Parallel Variable Transformation

Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part II
A Globally and Superlinearly Convergent Gauss--Newton-Based BFGS Method for Symmetric Nonlinear Equations

SIAM Journal on Numerical Analysis
Testing Unconstrained Optimization Software

ACM Transactions on Mathematical Software (TOMS)
A modified BFGS method and its global convergence in nonconvex minimization

Journal of Computational and Applied Mathematics - Special issue on nonlinear programming and variational inequalities
Convergence Properties of the BFGS Algoritm

SIAM Journal on Optimization
The Superlinear Convergence of a Modified BFGS-Type Method for Unconstrained Optimization

Computational Optimization and Applications
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

BFGS trust-region method for symmetric nonlinear equations

Journal of Computational and Applied Mathematics
Particle swarm algorithm for solving systems of nonlinear equations

Computers & Mathematics with Applications
Limited memory BFGS method with backtracking for symmetric nonlinear equations

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.09

Visualization

Abstract

A BFGS method, in association with a new backtracking line search technique, is presented for solving symmetric nonlinear equations. The global and superlinear convergences of the given method are established under mild conditions. Preliminary numerical results show that the proposed method is better than the normal technique for the given problems.