On a class of multi-level preconditioners for Z-matrices (Q2263031)

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On a class of multi-level preconditioners for Z-matrices
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    On a class of multi-level preconditioners for Z-matrices (English)
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    17 March 2015
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    The authors present some preconditioners for the block accelerated overrelaxation (BAOR) iterative method and provide comparison theorems to show convergence of the multi-level preconditioned block AOR method for solving a linear system whose coefficient matrix is a nonsingular \(Z\)-matrix. Numerical experiments are carried out on a 300 x 300 matrix and it is found that the spectral radii of the iteration matrix decreases when a parameter increases in value.
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    system of linear equations
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    block preconditioner
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    \(Z\)-matrix
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    \(M\)-matrix
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    block accelerated overrelaxation iterative method
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    convergence
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    numerical experiment
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