The Method of Moments in Electromagnetics, 3rd Edition

Chapter 4

Solution of Matrix Equations

The discretization and testing of integral equations via the Method of Moments results in a linear system which must be solved numerically. Thus, an understanding of how to do this is necessary. Though engineers will likely not have to implement their own linear equation solver, it is useful to understand how such solvers work, what pitfalls exist, and what software libraries exist for helping in this task. In this chapter we will briefly describe common methods for solving linear equations such as Gaussian Elimination, scalar and block LU factorization, and iterative solvers.

4.1 Direct Methods

In this section we discuss Gaussian elimination (GE) and LU factorization, methods that allow a direct solution ...