摘要
提出解一类奇异的非线性方程组F(x)=0,其中x,F∈Rn的修正ABS算法.这种方法组合了离散的ABS算法和旋转超平面的线性变换方法,且不需要直接给出在一点处F的二阶算子的信息,这不同于原来的Hoy等人的算法.文中还给出此算法的Q-二次收敛性.
A modified ABS algorithm for solving a class of singular nonlinear systems F(x)=0, where x, F∈R^n, is presented. This method is constructed by combining the discreted ABS algorithm and a linear transforming method by rotating super-plane. The second differential operation of F at a point is not required to be calculated directly in this algorithm, which is different from the Hoy′s and others′ methods. The Q-quadratic convergence of this algorithm is given.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
2003年第6期704-710,共7页
Journal of Dalian University of Technology
