HYBRID BFGS-ZMRI METHODS WITH GLOBAL CONVERGENCE PROPERTIES

被引:0
作者
Abidin, Zubai'ah Zainal [1 ]
Aini, Nurul [1 ]
Husin, Siti Farhana [1 ]
Rivaie, Mohd [2 ]
Mamat, Mustafa [1 ]
机构
[1] Univ Sultan Zainal Abidin UniSZA, Fac Informat & Comp, Terengganu, Malaysia
[2] Univ Teknol Mara UiTM, Dept Comp Sci & Math, Terengganu, Malaysia
来源
PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE | 2018年 / 1974卷
关键词
BFGS; Line search; Quasi-Newton; Steepest descent; Unconstrained optimization; QUASI-NEWTON METHODS; OPTIMIZATION; ALGORITHM;
D O I
10.1063/1.5041570
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we focus on the steepest descent and quasi-Newton method in solving unconstrained optimization problem. Therefore, we develop a new search direction for hybrid BFGS-ZMRI method with global convergence properties. Based on the numerical result, our method shows significant improvement in the number of iteration and CPU time.
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页数:8
相关论文
共 16 条
[1]   A New Steepest Descent Method with Global Convergence Properties [J].
Abidin, Zubai'ah Zainal ;
Mamat, Mustafa ;
Rivaie, Mohd .
INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS (ICMSS2016), 2016, 1739
[2]   A New Steepest Descent Method [J].
Abidin, Zubai'ah Zainal ;
Mamat, Mustafa ;
Rivaie, Mohd ;
Mohd, Ismail .
PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 :273-278
[3]  
Andrei N., 2008, ADV MODEL OPTIM, V10, P147, DOI DOI 10.1021/es702781x
[4]   GLOBAL CONVERGENCE OF A CLASS OF QUASI-NEWTON METHODS ON CONVEX PROBLEMS [J].
BYRD, RH ;
NOCEDAL, J ;
YUAN, YX .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (05) :1171-1190
[5]   A TOOL FOR THE ANALYSIS OF QUASI-NEWTON METHODS WITH APPLICATION TO UNCONSTRAINED MINIMIZATION [J].
BYRD, RH ;
NOCEDAL, J .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (03) :727-739
[6]  
Cauchy A., 1847, COMP REND SCI PARIS, V25, P46
[7]   Benchmarking optimization software with performance profiles [J].
Dolan, ED ;
Moré, JJ .
MATHEMATICAL PROGRAMMING, 2002, 91 (02) :201-213
[8]  
Griva I, 2009, OTHER TITL APPL MATH, V108, P1, DOI 10.1137/1.9780898717730
[9]  
Han L., 2003, INT J APPL MATH, V12, P167
[10]   The Hybrid BFGS-CG Method in Solving Unconstrained Optimization Problems [J].
Ibrahim, Mohd Asrul Hery ;
Mamat, Mustafa ;
Leong, Wah June .
ABSTRACT AND APPLIED ANALYSIS, 2014,