A NEW METHOD OF SOLVING NONLINEAR SIMULTANEOUS EQUATIONS

被引：95

作者：

BROYDEN, CG

机构：

[1] Computing Centre, University of Essex, Colchester, Essex, Wivenhoe Park

来源：

COMPUTER JOURNAL | 1969年 / 12卷 / 01期

关键词：

D O I：

10.1093/comjnl/12.1.94

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The method of solving nonlinear simultaneous equations here discussed consists of a particular form of Broyden's method used in conjunction with a particular form of Davidenko's method. The only information required of the user, apart from the procedure to compute the residuals, is an initial estimate of the solution. © 1969 The British Computer Society.

引用

页码：94 / &

共 11 条

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[2] BROWN KM, 1966, THESIS PURDUE U
[3] QUASI-NEWTON METHODS AND THEIR APPLICATION TO FUNCTION MINIMISATION
BROYDEN, CG
[J]. MATHEMATICS OF COMPUTATION, 1967, 21 (99) : 368 - &
[4] BROYDEN CG, 1965, MATH COMPUT, V19, P577, DOI DOI 10.1090/S0025-5718-1965-0198670-6
[5] DAVIDENKO D., 1953, DOKL AKAD NAUK+, V88, P601
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DEIST, FH
SEFOR, L
[J]. COMPUTER JOURNAL, 1967, 10 (01) : 78 - &
[7] NUMERICAL SOLUTION OF SYSTEMS OF NONLINEAR EQUATIONS
FREUDENSTEIN, F
ROTH, B
[J]. JOURNAL OF THE ACM, 1963, 10 (04) : 550 - +
[8] GOLDSTEIN AA, 1967, CONSTRUCTIVE REAL AN
[9] A NUMERICAL METHOD FOR FINDING SOLUTIONS OF NONLINEAR EQUATIONS
KIZNER, W
[J]. JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1964, 12 (02): : 424 - 428
[10] A METHOD FOR MINIMIZING A SUM OF SQUARES OF NON-LINEAR FUNCTIONS WITHOUT CALCULATING DERIVATIVES
POWELL, MJD
[J]. COMPUTER JOURNAL, 1965, 7 (04) : 303 - 307

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