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An unconstrained optimization method using nonmonotone second order Goldstein's line search 被引量:12

An unconstrained optimization method using nonmonotone second order Goldstein's line search
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摘要 In this paper, an unconstrained optimization method using the nonmonotone second order Goldstein's line search is proposed. By using the negative curvature information from the Hessian,the sequence generated is shown to converge to a stationary point with the second order optimality conditions. Numerical tests on a set of standard test problems confirm the efficiency of our new method. In this paper,an unconstrained optimization method using the nonmonotone second order Goldstein's line search is proposed.By using the negative curvature information from the Hessian, the sequence generated is shown to converge to a stationary point with the second order optimality conditions.Numerical tests on a set of standard test problems confirm the efficiency of our new method.
出处 《Science China Mathematics》 SCIE 2007年第10期1389-1400,共12页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China(Grant No.10231060) the Specialized Research Fund of Doctoral Program of Higher Education of China(Grant No.20040319003)
关键词 NONMONOTONE method direction of negative curvature line search DESCENT pair unconstrained optimization nonmonotone method direction of negative curvature line search descent pair unconstrained optimization
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