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《Journal of Daqing Petroleum Institute》 2001-02
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Global convergence property of a class of non-quasi-Newton algorithms

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  
In this paper, under some conditions, we prove the global convergence property of a class of non\|quasi\|Newton algorithms for uncontrained optimization problems with Goldstein line search on uniformly convex objective function.
【CateGory Index】: O242.23
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【References】
Chinese Journal Full-text Database 2 Hits
1 GUAN Jiang, WEI Shu-hui, ZHANG Chang-hai( Dept of Mathematics, Daqing Petroleum Institute, Daqing, Heilongjiang 163318, China );Some sufficient conditions for the global convergence of a class of non-quasi-Newton methods[J];Journal of Daqing Petroleum Institute;2004-05
2 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
【Citations】
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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 Xu Da-chuan(Department of Mathematics, Qufu Normal University);GLOBAL CONVERGENCE ANALYSIS OF DFP METHOD[J];MATHEMATICA NUMERICA SINICA;1997-03
3 LANPING CHEN BAOCONG JIAO(Dept of Math ., Capital Normal University Beijing 100037);A Class of Non-Quast-Nowton Methods and Its Convergence[J];Communication On Applied Mathematics and Computation;1997-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Hua1,2,JIAO Bao-cong1(1.School of Mathematical Sciences,Capital Normal University,Beijing,100037;2.Department of Mathematics,Hunan University of Arts and Science,Changde Hunan,415000);Global Convergence of the Pseudo-newton-B Class Methods for General Objective Functions[J];Journal of Hunan University of Arts and Science(Science and Technology);2007-03
2 CHEN Lan ping (Department of Mathematics, Capital Normal University, Beijing 100037, China);Global convergence of the preconvex part of Non-Quasi-Newton's family with a class of inexact linesearches[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);2000-03
3 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
4 GUAN Jiang, WEI Shu-hui, ZHANG Chang-hai( Dept of Mathematics, Daqing Petroleum Institute, Daqing, Heilongjiang 163318, China );Some sufficient conditions for the global convergence of a class of non-quasi-Newton methods[J];Journal of Daqing Petroleum Institute;2004-05
5 GUAN Jiang, WEI Shu-hui, ZHANG Chang-hai ( Department of Mathematics, Daqing Petroleum Institute, Daqing, Heilongjiang 163318, China );A global convergence property of the conjugate gradient method with the Goldstein line search[J];Journal of Daqing Petroleum Institute;2005-04
6 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
7 SUN Qing-ying,XU Min-cai,LIU Li-min(School of Sciences,China University of Petroleum,Qingdao 266555);Non-monotone Nonlinear Conjugate Gradient Method Based on the Trust Region Technique[J];Chinese Journal of Engineering Mathematics;2011-05
8 YANG Feng,CHEN Zhong,DU Le-le(School of Information and Mathematics,Yangtzeu University,Jingzhou Hubei 434023,China);Global Convergent of a Super-memory Gradient Method under Goldstein Line Search[J];Journal of Hebei Polytechnic University(Natural Science Edition);2008-04
9 Chen Lanping Jiao Baocong (Department of Mathematics, Capital Normal University, Beijing, 100037);CONVERGENCE PROPERTIES OF THE PRECONVEX PART OF NON-QUASI-NEWTON'S FAMILY[J];MATHEMATICA NUMERICA SINICA;2000-03
10 Jiao Baocong Xiong Hua(Department of Mathematics, Capital Normal University, Beijing 100037);A Class of Superlinearly Convergent ProjectionNon-Quasi-Newton Algorithms[J];Journal of Capital Normal University;2002-02
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1 Jie Yu~1 Qin Ni~1 1 College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing210016;A modified multistep quasi-Newton method and its convergence[A];[C];2010
【Co-references】
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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 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
3 LANPING CHEN BAOCONG JIAO(Dept of Math ., Capital Normal University Beijing 100037);A Class of Non-Quast-Nowton Methods and Its Convergence[J];Communication On Applied Mathematics and Computation;1997-02
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1 Li Donghui (Department of Applied Mathematics);On the Global Convergence of DFP Method[J];Journal of Hunan University(Natural Sciences);1993-02
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