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Note to the mixed-type splitting iterative method for Z-matrices linear systems

✍ Scribed by Guang-Hui Cheng; Ting-Zhu Huang; Shu-Qian Shen

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
136 KB
Volume
220
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, the mixed-type splitting iterative method is established for solving the linear system Ax = b, where A is a Z-matrix. The iterative method contains an auxiliary matrix L 1 (D 1 ) that is restricted to be nonnegative strictly lower triangular (diagonal) matrix. Comparison theorems show that the proper choice of the L 1 (D 1 ) can lead to the convergence rate of the Mixed-Type Iterative Method faster than that of the SOR and AOR type iterative methods for solving Ax = b. Numerical results are presented.

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