A new method for solving line equations with large sparse symmetric and indefinite coefficients matrix

Author

Jinming, Wang ; Dexin, Xie ; Baodong, Bai

Author_Institution

Sch. of Electr. Eng., Shenyang Univ. of Technol., Liaoning, China

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

1069

Lastpage

1071

Abstract

A new preconditioned solution with two controlling parameters for linear equations with large sparse symmetric and indefinite matrix is presented in this paper. Through theoretical analysis, the proper choice of the controlling parameters can make the preconditioned matrix positive definite and close to a unit matrix, and significantly reduce the number of iterations. Numerical examples show that the method can reduce the computation time over 50% more than the conventional incomplete Choleski-conjugate gradient method.

Keywords

conjugate gradient methods; eddy currents; finite element analysis; sparse matrices; ICCG method; eddy-current field; finite-element equations; incomplete Choleski-conjugate gradient; indefinite coefficients matrix; linear equations; preconditioned matrix; sparse symmetric matrix; theoretical analysis; unit matrix; Character generation; Convergence; Equations; Error correction; Finite element methods; Gradient methods; Helium; Matrix decomposition; Sparse matrices; Symmetric matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825437

Filename

1284602