A Petrov-Galerkin type method for solving Axk=b, where A is symmetric complex

1990/03/01 by H.A. van der Vorst, J.B.M. Melissen · 9 citations
Computer Science · Physics and Astronomy · Materials Science · #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Magnetic Properties and Applications

paper · doi:10.1109/20.106415

Abstract

Discretization of steady-state eddy-current equations may lead to linear system Ax=b in which the complex matrix A is not Hermitian, but may be chosen symmetric. In the positive definite Hermitian case, an iterative algorithm for solving this system can be defined. The residual vectors can be made mutually orthogonal by means of a two-term recursion relation which leads to the well-known conjugate gradient (CG) method. The proposed method is illustrated by comparing it with other methods for some eddy current examples.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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