Comparison theorems for weak nonnegative splittings of -monotone matrices.

Climent, Joan-Josep; Perea, Carmen

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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)

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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...