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Original Articles

Sor method and P-cyclic matrices (II)

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Pages 239-250 | Received 10 Apr 1990, Published online: 19 Mar 2007
 

Abstract

In [1] we have shown that when the SOR method is used for solving the p-cyclic system (1.1) then partitioning the p-cyclic matrix A into 2-cyclic form results in a faster convergence rate

In this paper we want to show that partitioning the p-cyclic matrix A into 2-cyclic form is the best according to the spectral radius, or equivalently the asymptotic rate of convergence, even though many other choices are available for considering the p-cyclic matrix A as k-cyclic formsk=3,…,p.

SUBJECT CLASSIFICATION:

Permanent address: Shenyang Institute of Computing Technology, Chinese Academy of Sciences, Shenyang, China.

Permanent address: Shenyang Institute of Computing Technology, Chinese Academy of Sciences, Shenyang, China.

Notes

Permanent address: Shenyang Institute of Computing Technology, Chinese Academy of Sciences, Shenyang, China.

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