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| 一种修正的求解一类奇异非线性方程组的ABS算法 | |
| 引用本文： | 葛仁东,E·斯帕笛卡托,夏尊铨.一种修正的求解一类奇异非线性方程组的ABS算法[J].大连理工大学学报,2003,43(6):704-710. |
| 作者姓名： | 葛仁东 E·斯帕笛卡托 夏尊铨 |
| 作者单位： | 1. 大连理工大学,应用数学系,辽宁,大连,116024;大连民族大学,应用数理系,辽宁,大连,116600 2. 伯格玛大学,数学系,意大利 3. 大连理工大学,应用数学系,辽宁,大连,116024 |
| 摘 要： | 提出解一类奇异的非线性方程组F(x)=0，其中F∈R^n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交换方法，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. |
| 关 键 词： | 奇异非线性方程组 ABS算法 旋转超平面 线性交换 算法 Q-二次收敛性 雅可比矩阵 |
A modified ABS algorithm for solving singular nonlinear systems with rank one defect |
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| Abstract.A modified ABS algorithm for solving singular nonlinear systems with rank one defect[J].Journal of Dalian University of Technology,2003,43(6):704-710. | |
| Authors: | Abstract |
| Abstract: | A modified ABS algorithm for solving a class of singular nonlinear systems F(x)=0, where x, F∈Rn, 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. |
| Keywords: | system of nonlinear equations singular system of linear equations ABS algorithm Jacobian matrix |
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