节点文献
用不动点算法解非线性方程组的一种方法
A METHOD ON SOLVING THE SYSTEMS OF NONLINEAR EQUATIONS BY FIXED POINT ALGORITHM
【摘要】 <正> 1967年,Scarf第一次给出了Brouwer不动点定理的构造性证明。此后,形成了不动点算法或称单纯形算法,在经济数学,规划问题、两点边值问题以及非线性方程组数值解等方面得到了广泛的应用。
【Abstract】 The method approximates the solution curve of the continuation method. Using the triangulation Ts,refining grid automatically,and homotopic mapping,the solution of systems of nonlinear equations can be approached with any given precision in finite steps of iterations. Several numerical examples and their analysis are given to show some advantages over the continuation method and the homotop algorithm.
- 【文献出处】 高等学校计算数学学报 ,Numerical Mathematics A Journal of Chinese Universities , 编辑部邮箱 ,1984年01期
- 【被引频次】7
- 【下载频次】239