Comparison theorems for regular splittings on block partitions (Q677134)
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scientific article; zbMATH DE number 994640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comparison theorems for regular splittings on block partitions |
scientific article; zbMATH DE number 994640 |
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Comparison theorems for regular splittings on block partitions (English)
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8 October 1997
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This paper considers iterative solution of the linear system \(Ax=b\), with the splitting \(A=D- L-U\), with \(L\) and \(U\) lower and upper triangular, respectively, and \(D\), \(L\), \(U\) nonnegative matrices. Comparison theorems for the spectral radii of the associated iteration matrices of such block partitions are presented and related to the conjecture of \textit{J. Garloff} [SIAM J. Matrix Anal. Appl. 11, No. 1, 89-106 (1990; Zbl 0712.65016)].
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regular splittings
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non-negative matrices
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interval matrices
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spectral radius estimation
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comparison theorems
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iteration matrices
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block partitions
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