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极大熵方法与非单调曲线搜索可行方向法 被引量:9

MAXIMUM ENTROPY METHOD AND NONMONOTONE CURVILNEAR SEARCH METHOD FOR CONSTRAINED OPTIMIZATION
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摘要 The convergence of maximum entropy methods is obtained on Kuhn-Tucker/Fritz John points. Then according to the nature of maximum entropy methods, we study the structure and convergent properties of feasible directions methods with nonmonotone curvilinear search rules from the unified point. On this basis, we discuss the numerically computing technique which combines nonmonotone curvilinear search methods and maximum entropy methods, and the numerically computing results for some optimization problems are obtained. The results show that our algorithm is efficient. The convergence of maximum entropy methods is obtained on Kuhn-Tucker/Fritz John points. Then according to the nature of maximum entropy methods, we study the structure and convergent properties of feasible directions methods with nonmonotone curvilinear search rules from the unified point. On this basis, we discuss the numerically computing technique which combines nonmonotone curvilinear search methods and maximum entropy methods, and the numerically computing results for some optimization problems are obtained. The results show that our algorithm is efficient.
出处 《计算数学》 CSCD 北大核心 1997年第3期241-256,共16页 Mathematica Numerica Sinica
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