A new trust region algorithm for nonlinear equations with trust region converging to zero

作     者：Jinyan Fan Department of Mathematics, Shanghai Jiao Tong University Shanghai 200240, China 

会议名称：《中国运筹学会第七届学术交流会》

会议日期：2004年

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

关 键 词：Nonlinear equations trust region method local error bound condition 

摘      要：n this paper, we present a new trust region algorithm for nonlinear equa-tions with the trust region radius converging to zero. The new algorithm preservesthe global convergence of the traditional trust region algorithms in which the trustregion radius will be larger than a positive constant. The convergence rate of the newalgorithm is also studied under the local error bound condition which is weaker thanthe nonsingularity.