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Preconditioned AOR iterative method for linear systems

โœ Scribed by Meijun Wu; Li Wang; Yongzhong Song

Book ID
108057440
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
171 KB
Volume
57
Category
Article
ISSN
0168-9274

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Linear systems with M-matrices often appear in a wide variety of areas. In this paper, we give general preconditioners for solving the systems with nonsingular M-matrix. We show that our preconditioners increase the convergence rate of AOR iterative methods. Numerical results for corresponding preco

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have considered the modified AOR method with a preconditioner (I + S ฮฑ ). In this paper, we present a new preconditioner (I + S ฮฑฮฒ ) instead of (I + S ฮฑ ). The comparison theorems and numerical experiments show that the proposed new method can achieve faster convergence than the preconditioner intro