SOME EFFECTIVE METHODS FOR UNCONSTRAINED OPTIMIZATION BASED ON THE SOLUTION OF SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS

被引:101
作者
BROWN, AA [1 ]
BARTHOLOMEWBIGGS, MC [1 ]
机构
[1] HATFIELD POLYTECH,SCH INFORMAT SCI,HATFIELD AL10 9AB,HERTS,ENGLAND
关键词
D O I
10.1007/BF00941054
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
引用
收藏
页码:211 / 224
页数:14
相关论文
共 22 条
[1]  
Biggs MC., 1971, J I MATH APPL, V8, P315
[2]  
BOGGS PT, 1977, SIAM J NUMER ANAL, V15, P830
[3]   CURVILINEAR OPTIMIZATION METHOD BASED UPON ITERATIVE ESTIMATION OF EIGEN-SYSTEM OF HESSIAN MATRIX [J].
BOTSARIS, CA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 63 (02) :396-411
[4]   CLASS OF METHODS FOR UNCONSTRAINED MINIMIZATION BASED ON STABLE NUMERICAL-INTEGRATION TECHNIQUES [J].
BOTSARIS, CA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 63 (03) :729-749
[5]   NEWTON-TYPE CURVILINEAR SEARCH METHOD FOR OPTIMIZATION [J].
BOTSARIS, CA ;
JACOBSON, DH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 54 (01) :217-229
[6]   DIFFERENTIAL GRADIENT METHODS [J].
BOTSARIS, CA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 63 (01) :177-198
[7]  
Brown A.A., 1986, THESIS HATFIELD POLY
[8]  
BROWN AA, 1987, 178 HATF POL NUM OPT
[9]  
GILL PE, 1972, NAC24 NAT PHYS LAB R
[10]   MAXIMIZATION BY QUADRATIC HILL-CLIMBING [J].
GOLDFELD, SM ;
QUANDT, RE ;
TROTTER, HF .
ECONOMETRICA, 1966, 34 (03) :541-&