A Family of Newton Codes for Systems of Highly Nonlinear Equations.
A Family of Newton Codes for Systems of Highly Nonlinear Equations.
复制标题
高度非线性方程组的牛顿码族。
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
L. Weimann
中科院分区：
文献类型：
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作者：
U. Nowak;L. Weimann
本文介绍了用于高度非线性系统数值解的新程序。他们实现了仿射不变牛顿技术的最新变体，这要归功于德夫哈德。标准方法在代码NLEQ1中实现，而代码NLEQ2另外包含降阶装置。NLEQ1S代码是NLEQ1的稀疏版本，即用稀疏矩阵技术求解所产生的线性方程组。在新的实现中，从用户界面和内部模块化的角度实现了软件的通用设计。一些具有挑战性的算例的数值实验表明了算法和软件的稳健性和有效性。
This report presents new codes for the numerical solution of highly nonlinear systems. They realize the most recent variants of affine invariant Newton Techniques due to Deuflhard. The standard method is implemented in the code NLEQ1, whereas the code NLEQ2 contains a rank reduction device additionally. The code NLEQ1S is the sparse version of NLEQ1, i.e. the arising linear systems are solved with sparse matrix techniques. Within the new implementations a common design of the software in view of user interface and internal modularization is realized. Numerical experiments for some rather challenging examples illustrate robustness and efficiency of algorithm and software.