NITSOL: A Newton iterative solver for nonlinear systems
NITSOL: A Newton iterative solver for nonlinear systems
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DOI：
10.1137/s1064827596303843
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发表时间：
1998-01-01
影响因子：
3.1
通讯作者：
Walker, HF
中科院分区：
文献类型：
--
作者：
Pernice, M;Walker, HF
我们介绍了一个发达的牛顿迭代（截断牛顿）算法求解大规模非线性系统。该框架是一个不精确的牛顿方法通过回溯全球化。试验步骤得到使用几个Krylov子空间方法之一。该算法是在一个名为NITSOL的Fortran求解器中实现的，该求解器强大而易于使用，并提供了许多有用的选项和功能。该结构为用户提供了极大的灵活性，通过预处理和其他手段解决问题的特异性，并允许轻松适应并行环境。在数值实验中说明的功能和能力。
We introduce a well-developed Newton iterative (truncated Newton) algorithm for solving large-scale nonlinear systems. The framework is an inexact Newton method globalized by backtracking. Trial steps are obtained using one of several Krylov subspace methods. The algorithm is implemented in a Fortran solver called NITSOL that is robust yet easy to use and provides a number of useful options and features. The structure offers the user great flexibility in addressing problem specificity through preconditioning and other means and allows easy adaptation to parallel environments. Features and capabilities are illustrated in numerical experiments.