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ON THE OPTIMALITY IN GENERAL SENSE FOR ODD-BLOCK SEARCH
作者姓名:陈木法  黄丹华
作者单位:CHEN MUFA (Department of Mathematics,Beijing Normal Universzty,Beijing 100875,China) HUANG DANHUA (Department of Mathematics,Fujian Normal University,Fuzhou 350007,China)
摘    要:ONTHEOPTIMALITYINGENERALSENSEFORODD-BLOCKSEARCH¥CHENMUFA(陈木法)(DepartmentofMathematics,BeijingNormalUniverszty,Beijing100875,C...

收稿时间:5 September 1992

On the optimality in general sense for odd-block search
Mufa Chen,Danhua Huang.ON THE OPTIMALITY IN GENERAL SENSE FOR ODD-BLOCK SEARCH[J].Acta Mathematicae Applicatae Sinica,1995,11(4):389-404.
Authors:Mufa Chen  Danhua Huang
Institution:(1) Department of Mathematics, Beijing Normal University, 100875 Beijing, China;(2) Department of Mathematics, Fujian Normal University, 350007 Fuzhou, China
Abstract:In his classical article3], 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.
Keywords:Fibonacci search  golden section search  odd-block search  optimality in general
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