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ON THE OPTIMALITY IN GENERAL SENSE FOR ODD-BLOCK SEARCH

ON THE OPTIMALITY IN GENERAL SENSE FOR ODD-BLOCK SEARCH
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摘要 In his classical article[3], J. Kiefer introduced the Fibonacci search as a direct optimal method. The optimality was proved under the restriction: the total number of tests is given in advance and fixed. To avoid this restriction, some different concepts of optimality were proposed and some corresponding optimal methods were obtained in [1], [2], [5] and [6]. In particular, the even-block search was treated in [1]. This paper deals with the odd-block search. The main result is Theorem 1.15. In his classical article[3], J. Kiefer introduced the Fibonacci search as a direct optimal method. The optimality was proved under the restriction: the total number of tests is given in advance and fixed. To avoid this restriction, some different concepts of optimality were proposed and some corresponding optimal methods were obtained in [1], [2], [5] and [6]. In particular, the even-block search was treated in [1]. This paper deals with the odd-block search. The main result is Theorem 1.15.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1995年第4期389-404,共16页 应用数学学报(英文版)
关键词 Fibonacci search golden section search odd-block search optimality in general Fibonacci search, golden section search, odd-block search, optimality in general
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