关于解非线性方程组Krawczyk算法的进一步研究  

Further Results of The Krawczyk Algorithm for Solving Nonliear Equations

作　　者：李有明[1] 

机构地区：[1]西安电子科技大学

出　　处：《应用数学与计算数学学报》1991年第2期48-56,共9页Communication on Applied Mathematics and Computation

摘　　要：本文应用区间矩阵知识,讨论了具区间—Lipschitz矩阵的非线性方程组解的存在性以及求解的Krawczyk算法的收敛性条件;同时,改进了Krawczyk算法的构造,得到了二阶收敛速度。In this paper, using interval matrix techniques, we extend the original convergence conditions of the Krawczyk algorithm for solving nonlinear simultaneous equations, improving the contruction of the algorithm and abstain the quadratic convergence. In particuliarly, if Lipschitz matrix is any kind of the interval diagonal matrix defined in [15], then the convergence condition of the algorithms are automatically satisfied.

关 键 词：非线性方程组 区间矩阵 K-算法 

分 类 号：O241.7[理学—计算数学]