Limited memory BFGS method with backtracking for symmetric nonlinear equations

Authors:
Gonglin Yuan;Zengxin Wei;Sha Lu
Affiliations:
College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, PR China;College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, PR China;School of Mathematics Science, Guangxi Teacher's Education University, Nanning, Guangxi, 530001, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

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Abstract

A limited memory BFGS algorithm is presented for solving symmetric nonlinear equations. The global convergence of the given method is established under mild conditions. Numerical results show that the limited memory BFGS method is more interesting than the normal BFGS method for the given problems.