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A convergence analysis of SOR iterative methods for linear systems with weakH-matrices

Cheng-yi Zhang, Zichen Xue, Shuanghua Luo (2016)

Open Mathematics

It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices). However, the same can not be true in case of those iterative methods for linear systems with weak H-matrices (whose comparison matrices are singular M-matrices). This paper proposes some necessary and sufficient conditions such that SOR iterative methods are...

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