2010•Journal of Lanzhou UniversityRequires access

Preconditioned AOR iterative method and comparison theorems

Aijuan Li

Abstract

The AOR iterative method with preconditioned matrix(I+ S_(αβ)~*) is proposed.Comparison theorems are obtained when the coefficient matrice of the linear systems is an irreducible L- matrix.The comparison theorems show the convergence rate of AOR iterative method with the preconditioned matrix (I+ S_(αβ)~*) is faster than the convergence rate of AOR iterative method with the preconditioned matrix(I+S_α). Lastly,numerical example verifies the comparison theorems.

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Key concepts: Iterative method, Mathematics, Rate of convergence, Applied mathematics, Coefficient matrix, Matrix (chemical analysis), Convergence (economics), Mathematical optimization