Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Qufu Normal University(Natural Science)》 1988-03
Add to Favorite Get Latest Update

On the Convergence of the DEP Algorithm

Bu Dingguo, Yu wenci  
Under the condition of hypothesis for that objectivefunction has not convexity,in this paper, the convergence of the DEP algorithm as follow is proved:Givenf(x), and iteration sequence of points{x_*} converge to x_*, then x_* is certainly the critical point of f(x). The result answers that a question is proposed by powell in year 1972 (see refernce[2]).
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 4 Hits
1 Liu Guanghui(Institute of Applied Maths,Academia Sinica)Xia Kewen(Logging Institute. Xi an Petroleum Exploration Instrument Complex);On the Investigation of Powell’s Conjecture[J];JOURNAL OF CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS;1994-02
2 Xu Da-chuan(Department of Mathematics, Qufu Normal University);GLOBAL CONVERGENCE ANALYSIS OF DFP METHOD[J];MATHEMATICA NUMERICA SINICA;1997-03
3 Liu Guanghui(Institute of Applied Mathematics, Academia Sinica, Beijing 100080)Han Lixing(Tianjin University);GLOBAL CONVERGENCE OF THE RESTRICTED BROYDEN CLASS OF QUASI-NEWTON ALGORITHMS ON NONCONVEX FUNCTIONS[J];Journal of Tianjin University;1996-03
4 Liu Guanghui (Institute of Applied Mathematics, Academia Sinica);A Result on the Convergence of DFP Algorithm[J];Communication On Applied Mathematics and Computation;1992-02
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 Li Donghui (Department of Applied Mathematics);On the Global Convergence of DFP Method[J];Journal of Hunan University(Natural Sciences);1993-02
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Chang\|hai, WANG Yu\|xue ( Dept of Mathematics, Daqing Petroleum Institute, Anda, Heilongjiang 151400, China );Global convergence property of DFP method with Goldstein line search[J];Journal of Daqing Petroleum Institute;2001-01
2 ZHANG Chang hai 1, WANG Yu xue 1,ZHANG Li fan 2, ZHANG Jun 3 ( 1. Dept of Mathematics, Daqing Petroleum Institute, Anda, Heilongjiang 151400, China; 2. Dept of Adult Education, Worker's Collge of Liaohe Oil Field, Panjin, Liaoning 124000, China; 3. C;Global convergence property of a class of non-quasi-Newton algorithms[J];Journal of Daqing Petroleum Institute;2001-02
3 WEI Shu-hui,SONG Guo-liang(School of Mathematical Science and Technology,Daqing Petroleum Institute,Daqing,Heilongjiang 163318,China);Global convergence of the restricted broyden class of quasi-Newton algorithms on nonconvex functions with Goldstein line search[J];Journal of Daqing Petroleum Institute;2010-01
4 Pu Dingguo (Institute of Appl.Math.,Shanghai Tiedao Univ,Shanghai 200333)Tian Weiwen(Dept.of Math.,Shanghai Univ.,Shanghai 210018);A CLASS OF MODIFIED BROYDEN ALGORITHMS WITHOUT EXACT LINE SEARCH[J];APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES;1995-03
5 WANG Hai-bin (Dept.of Basic,Nantong Vocational College,Nantong Jiangsu 226007,China);Global Convergence of a Class of Modified BFGS Algorithm on Nonconvex Functions[J];Journal of Hebei Institute of Technology;2007-02
6 Pu Dingguo;Wang Guojin(Dept. of Basic Courses, Shanghai Tidao Univ.);Limited Memory BFGS Methods with Revised Search Direction[J];JOURNAL OF SHANGHAI TIEDAO UNIVERSITY(NATURAL SCIENCE EDITION);1997-02
7 Pu Dingguo (Shanghai Institute of Railway Technology,Shanghai,200333) Tian Weiwen (Shanghai University,Shanghai,201800);Variable Metric Algorithms with Revised Search Direction[J];Chinese Journal of Operations Research;1995-01
8 Tian Weiwen (Shanghai University of Science and Technology);Constrained Variable Algorithm[J];Communication On Applied Mathematics and Computation;1992-01
9 Tian Weiwen (Shanghai University of Science and Technology) Pu Dingguo (Shanghai Institute of Railway Technology);A Class of Constrained Variable Metric Algorithms with Modified Search Direction[J];Communication On Applied Mathematics and Computation;1993-01
10 Pu Dingguo (Shanghai Institute of Railway Technology) Tian Weiwen (shanghai University of Science and Technology);A Class of Broyden Algorithms with Wolfe Conditions[J];Communication On Applied Mathematics and Computation;1993-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved