An ABS algorithm for solving singular nonlinear systems with rank one defect

被引：0

作者：

Ge R.-D. ^{[1
]}

Xia Z.-Q. ^{[1
]}

机构：

[1] CORA, Department of Applied Mathematics, Dalian University of Technology

来源：

Journal of Applied Mathematics and Computing | 2002年 / 9卷 / 1期

关键词：

ABS algorithms; Jacobian matrix; Singular system of linear equations; System of nonlinear equations;

D O I：

10.1007/BF03012347

中图分类号：

学科分类号：

摘要：

A modified discretization ABS algorithm for solving a class of singular nonlinear systems, F(x) = 0, where x, F 2 Rn, is presented, constructed by combining a discretization ABS algorithm and a method of Hoy and Schwetlick (1990). The second order differential operation of F at a point is not required to be calculated directly in this algorithm. Q-quadratic convergence of this algorithm is given. © 2002 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

引用

页码：167 / 183

页数：16

共 50 条

[1] An ABS algorithm for solving singular nonlinear systems with rank one defect
Ge, Ren-Dong
Xia, Zun-Quan
Journal of Applied Mathematics and Computing, 2002, 9 (01) : 167 - 183
[2] An ABS algorithm for solving singular nonlinear systems with rank one defect
Ge, Ren-Dong
Xia, Zun-Quan
Korean Journal of Computational and Applied Mathematics, 2002, 9 (01): : 167 - 183
[3] An ABS algorithm for solving singular nonlinear systems with rank defects
Rendong Ge
Zun-Quan Xia
Journal of Applied Mathematics and Computing, 2003, 12 (1-2) : 1 - 20
[4] A modified Brown algorithm for solving singular nonlinear systems with rank defects
Ge, RD
Xia, ZQ
Liu, JG
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) : 252 - 265
[5] A ABS algorithm for solving singular nonlinear system with space transformation
Rendong G.
Zunquan X.
Jinzhi W.
Journal of Applied Mathematics and Computing, 2009, 30 (1-2) : 335 - 348
[6] Solving rank one perturbed linear Diophantine systems by the ABS method
Amini, Keyvan
Mahdavi-Amiri, Nezam
OPTIMIZATION METHODS & SOFTWARE, 2006, 21 (05): : 819 - 831
[7] Solving rank one revised linear systems by the scaled ABS method
Amini, K
ANZIAM JOURNAL, 2004, 46 : 225 - 236
[8] Solving rank one perturbed linear Diophantine systems by the ABS method
Department of Sciences, Razi University, Kermanshah, Iran
不详
Optim Method Software, 2006, 5 (819-831):
[9] A singular value decomposition algorithm based on solving hyperplane constrained nonlinear systems
Yadani, Kenichi
Kondo, Koichi
Iwasaki, Masashi
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (03) : 779 - 790
[10] ABOUT ONE NUMERICAL STABLE ALGORITHM FOR SOLVING SYSTEM LINEAR ALGEBRAIC EQUATIONS OF DEFECT RANK
Zhdanov, A. I.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2008, (01): : 149 - 153

← 1 2 3 4 5 →