Some comparison theorems for nonnegative splittings of matrices.
Yongzhong Song (1993)
Numerische Mathematik
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Displaying similar documents to “Convergent Nonnegative Matrices and Iterative Methods for Consistent Linear Systems.”
Some comparison theorems for nonnegative splittings of matrices.
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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...
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