4. Iterative Methods for Sparse Linear Systems 论文

2007Society for Industrial and Applied Mathematics eBooks引用 1199
Matrix Theory and AlgorithmsGeological Modeling and Analysis

摘要

This chapter contains an overview of several iterative methods for solving the large sparse linear systems that arise from discretizing elliptic equations. Large sparse linear systems arise from many other practical problems, too, of course, and the methods discussed here are useful in other contexts as well. Except when the matrix has very special structure and fast direct methods of the type discussed in Section 3.7 apply, iterative methods are usually the method of choice for large sparse linear systems.