IJPAM: Volume 76, No. 1 (2012)

ON THE NUMERICAL SOLVING
OF COMPLEX LINEAR SYSTEMS

Romulus Militaru$^1$Cart. G. Enescu, No. 55, Bl. D2, Sc. 1, Apt. 5, Craiova, Dolj, ROMANIA, Ioan Popa$^2$
$^1$Faculty of Exact Sciences
Department of Applied Mathematics
University of Craiova
13, A.I. Cuza, 200585, Craiova, ROMANIA
$^2$Faculty of Electrical Engineering
Electrical Apparatus and Technologies Department
University of Craiova
107, Blvd. Decebal, 200440, Craiova, ROMANIA


Abstract. The present paper concerns the numerical solving of complex linear systems. The basic idea is to transform the given complex system into a real one and then to select an appropriate numerical method, direct or iterative, to solve the problem. Also, we focus on the cases of a band and sparse matrix, giving a practical storage scheme in order to be able to solve numerically efficient a linear system having a large sparse coefficient matrix.

Received: December 12, 2011

AMS Subject Classification: 65F10, 65F50

Key Words and Phrases: complex linear system, band matrix, sparse matrix, direct methods, iterative methods, storage scheme

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 1