Lower bound for the convergence rate of nonstationary Jacobi-like iteration |
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Authors: | A A Maleev |
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Institution: | (1) All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Box 245, Snezhinsk, 456770, Russia |
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Abstract: | Stationary and nonstationary Jacobi-like iterative processes for solving systems of linear algebraic equations are examined. For a system whose coefficient matrix A is an H-matrix, it is shown that the convergence rate of any Jacobi-like process is at least as high as that of the point Jacobi method as applied to a system with 〈A〉 as the coefficient matrix, where 〈A〉 is a comparison matrix of A. |
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Keywords: | nonstationary Jacobi-like iteration system of linear algebraic equations lower bound for the convergence rate |
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