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《JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION)》 2000-03
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Global convergence of the preconvex part of Non-Quasi-Newton's family with a class of inexact linesearches

CHEN Lan ping (Department of Mathematics, Capital Normal University, Beijing 100037, China)  
In this paper, the behavior of the preconvex part of Non-Quasi-Newton's family is analyzed by using Ψ function which was proposed by Byrd and Nocedal. For convex objective functions, the global convergence of the preconvex part of Non-Quasi-Newton's family with a class of inexact line searches is proved.
【Fund】: 北京市教委科学基金资助项目
【CateGory Index】: O229
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【References】
Chinese Journal Full-text Database 1 Hits
1 SHI Wenpu1,LIU Yingxi1,GONG Huarong2,LI Cuihua2 (1Department of Engineering and Mechanics Dalian University of Technology,Dalian 116023,China; 2Yantai Training School of High Mechanic,Yantai 264001,China);Application of 0.618 method in solving unconstrained multiple variable optimizetion[J];Journal of Northeast Normal University (Natural Science Edition);2003-02
【Citations】
Chinese Journal Full-text Database 4 Hits
1 Guo Pengjiang(Department of Mathematics, Northwest University, Xian, 710069)Xu Dachuan(Department of Mathematics, Qufu Normal University, Qufu, 273165);GLOBAL CONVERGENCE OF THE PRECONVEX PART OFBROYDENS FAMILY[J];PURE AND APPLIED MATHEMATICS;1998-01
2 Liu Guang-hui; Han Ji-ye(Institute of Applied Mathematics, Academia Silica, Beijing);GLOBAL CONVERGENCE OF THE BROYDEN'S FAMILY WITH A CLASS OF INEXACT LINESEARCHES[J];MATHEMATICA NUMERICA SINICA;1996-03
3 Zhao Yunbin(Institute of Applied Mathematics, Academic Sinica, 100080)Duan Yurong( Chongqing Univertitll, 630044);Derivation and Property of Pesudo-Newton-N Class[J];Communication On Applied Mathematics and Computation;1996-01
4 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 Guo Pengjiang(Department of Mathematics, Northwest University, Xian, 710069)Xu Dachuan(Department of Mathematics, Qufu Normal University, Qufu, 273165);GLOBAL CONVERGENCE OF THE PRECONVEX PART OFBROYDENS FAMILY[J];PURE AND APPLIED MATHEMATICS;1998-01
2 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
3 Wu Shufang (Dep.of Computer,Changchun Inst.Optics and Fine Mech.);Solving Step-length of Large-Operation Minimazation Problems[J];JOURNAL OF CHANGCHUN INSTITUTE OF OPTICS AND FINE MECHANICS;1999-01
4 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
5 WEI Shu-hui, ZHANG Chang-hai,WANG Yu-xue ( Dept of Mathematics , Daqing Petroleum Institute, Daqing, Heilongjiang 163318, China );Global convergence of non-quasi-newton merhods with a class of inexact line searching,[J];Journal of Daqing Petroleum Institute;2003-04
6 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
7 WEI Zeng-xin,XIE Pin-jie(Department of Mathematics and Information Science,Guangxi University,Nanning,Guangxi,530004,China);Global Convergence of the Modified Broyden's Family with a Class of Inexact Line Searches[J];Guangxi Sciences;2006-01
8 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
9 Xu Dachuan ① Xiao Feng ② (①Dept. of Maths., Qufu Normal University, 273165,Qufu, Shandong; ②Dept. of Maths. Yantai TV University, 264000, Yantai, Shandong);GLOBAL CONVERGENCE OF THE PRECONVEX PART OF BROYDEN′S FAMILY WITH A CLASS OF INEXACT LINESEARCHES[J];JOURNAL OF QUFU NORMAL UNIVERSITY(NATURAL SCIENCE);1997-04
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
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 Hong Guohua(Huaibei College of Education,235000.Huaibei,Anhui,PRC);AN SYNTHETICALLY NUMERICAL METHOD FOR SEARCHING GLOBAL MINIMUM POINT OF SOME KIND OF MULTDIMENSIONAL FUNCTIONS[J];Journal of Anhui Normal University(Natural Science);1996-02
2 WANG Wan liang ( Department of Mathematics,Capital Normal University,Beijing 100037, China);A conjugated gradient type algorithm for optimization problem with linear constraints and its convergence[J];Journal of Northeast Normal University (Natural Science Edition);2002-02
3 Sun Duoqing; Wang Rishuang(Department of Applied Mathematics, Beting University of Aeronautics and Astronautics, Beijing, 100083);A Algorithm for Solving the Global Optimal Solutions of Nonlinear Programming[J];JOURNAL OF GANSU EDUCATION COLLEGE(NATURAL SCIENCE EDITION);1998-02
4 Fu Dandan, He Qiaodeng, Liu Yifeng, Guo Mingzhu and Jiang Lianbin.Fu Dandan, Research Center of Marine Petroleum Exploration and Development, Gaobeidian City, Hebei Province, 074010;A novel global-optimized inversion method.[J];Oil Geophysical Prospecting;2000-04
5 Wang Jiang\ Yang Jiaben(Tsinghua University, Beijing 100084);A New Global Optimization Method for Engineering[J];SYSTEMS ENGINEERING-THEORY & PRACTICE;1998-08
【Secondary References】
Chinese Journal Full-text Database 2 Hits
1 LI Jin,DU Ying-chun (Department of Materials Science and Engineering,Beijing Institute of Clothing Technology,Beijing 100029,China);Study on Moisture Absorption Properties of Fabrics and Its Dynamic Model[J];Journal of Beijing Institute of Clothing Technology(Natural Science Edition);2007-03
2 YANG Hui~1 MA Hong-guang~2 WANG Guo-hua~2 (1 Dalian Naval Academy,Liaoling Dalion 116018,China; 2 The Second Artillery Engineering Academy,Xi'an 710025,China);Parameter Estimation of Linear Modulation Frequency Signal Based"Golden Section Method"[J];Journal of Projectiles,Rockets,Missiles and Guidance;2006-S7
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 Ke Xiaowu(Department of Mathematics,Beijing Normal University,100875,Beijing,PRC);CONVERGENCE OF THE PRECONVEX PARE OF BROYDEN'S FAMILY[J];JOURNAL OF BEIJING NORMAL UNIVERSITY;1995-01
2 Yuan Ya-xiang Peng Ji-ming (Computing Center, Academic Sinica, China);PROPERTIES OF Ψ-FUNCTION AND ITS APPLICATIONS[J];Mathematica Numerica Sinica;1994-01
3 Liu Guang-hui; Han Ji-ye(Institute of Applied Mathematics, Academia Silica, Beijing);GLOBAL CONVERGENCE OF THE BROYDEN'S FAMILY WITH A CLASS OF INEXACT LINESEARCHES[J];MATHEMATICA NUMERICA SINICA;1996-03
4 Zhao Yunbin(Institute of Applied Mathematics, Academic Sinica, 100080)Duan Yurong( Chongqing Univertitll, 630044);Derivation and Property of Pesudo-Newton-N Class[J];Communication On Applied Mathematics and Computation;1996-01
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