The convergence of the modified Gauss--Seidel methods for consistent linear systems (Q1874193)
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scientific article; zbMATH DE number 1915266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The convergence of the modified Gauss--Seidel methods for consistent linear systems |
scientific article; zbMATH DE number 1915266 |
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The convergence of the modified Gauss--Seidel methods for consistent linear systems (English)
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22 May 2003
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\textit{A. D. Gunawardena, S. K. Jain} and \textit{L. Snyder} [Linear Algebra Appl. 154-156, 123-143 (1991; Zbl 0731.65016)] modified the Gauss-Seidel iteration and multiplied the given system first by a matrix whose entries are derived from the matrix elements \(a_{i, i+1}\). The convergence of the iteration and a generalization are proven for \(M\)-matrices.
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modified Gauss-Seidel methods
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convergence
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\(M\)-matrices
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