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
收藏
页码：167 / 183
页数：16
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