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临界点的局部结构与一类负曲率算法 被引量:1

LOCAL STRUCTURE AT CRITICAL POINT AND A NEW ALGORITHM USING DIRECTIONS OF NEGATIVE CURVATURE
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摘要 In this paper,we introduce the l×m×n matrix A and face operation on A.Then we modify the Morse Lemma and probe the local structure of function at its critical point.Last construct a new algorithm using directions of negative curvature. In this paper,we introduce the l×m×n matrix A and face operation on A.Then we modify the Morse Lemma and probe the local structure of function at its critical point.Last construct a new algorithm using directions of negative curvature.
作者 徐以凡 王薇
出处 《数学的实践与认识》 CSCD 北大核心 1996年第4期300-310,共11页 Mathematics in Practice and Theory
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  • 1Donald Goldfarb. Curvilinear path steplength algorithms for minimization which use directions of negative curvature[J] 1980,Mathematical Programming(1):31~40
  • 2Jorge J. Moré,Danny C. Sorensen. On the use of directions of negative curvature in a modified newton method[J] 1979,Mathematical Programming(1):1~20
  • 3Garth P. McCormick. A modification of Armijo’s step-size rule for negative curvature[J] 1977,Mathematical Programming(1):111~115

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