ON THE LOCAL CONVERGENCE OF A QUASI-NEWTON METHOD FOR THE NONLINEAR-PROGRAMMING PROBLEM

被引：68

作者：

COLEMAN, TF ^{[1
]}

CONN, AR ^{[1
]}

机构：

[1] UNIV WATERLOO,DEPT COMP SCI,WATERLOO N2L 3G1,ONTARIO,CANADA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1984年 / 21卷 / 04期

关键词：

D O I：

10.1137/0721051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

16

引用

收藏

页码：755 / 769

页数：15

相关论文

共 15 条

[1] Broyden C. G., 1973, Journal of the Institute of Mathematics and Its Applications, V12, P223
[2] NON-LINEAR PROGRAMMING VIA AN EXACT PENALTY-FUNCTION - ASYMPTOTIC ANALYSIS
COLEMAN, TF
CONN, AR
[J]. MATHEMATICAL PROGRAMMING, 1982, 24 (02) : 123 - 136
[3] NON-LINEAR PROGRAMMING VIA AN EXACT PENALTY-FUNCTION - GLOBAL ANALYSIS
COLEMAN, TF
CONN, AR
[J]. MATHEMATICAL PROGRAMMING, 1982, 24 (02) : 137 - 161
[4] COLEMAN TF, 1982, TR82510 CORN U COMP
[5] INEXACT NEWTON METHODS
DEMBO, RS
EISENSTAT, SC
STEIHAUG, T
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (02) : 400 - 408
[6] DENNIS JE, 1974, MATH COMPUT, V28, P549, DOI 10.1090/S0025-5718-1974-0343581-1
[7] Gill P. E., 1974, NUMERICAL METHODS CO
[8] PROPERTIES OF UPDATING METHODS FOR THE MULTIPLIERS IN AUGMENTED LAGRANGIANS
GLAD, ST
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1979, 28 (02) : 135 - 156
[9] SUPERLINEARLY CONVERGENT VARIABLE METRIC ALGORITHMS FOR GENERAL NONLINEAR-PROGRAMMING PROBLEMS
HAN, SP
[J]. MATHEMATICAL PROGRAMMING, 1976, 11 (03) : 263 - 282
[10] DUAL VARIABLE METRIC ALGORITHMS FOR CONSTRAINED OPTIMIZATION
HAN, SP
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1977, 15 (04) : 546 - 565