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Mathematics of Computation

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On an accelerated overrelaxation iterative method for linear systems with strictly diagonally dominant matrix

Author: M. Madalena Martins
Journal: Math. Comp. 35 (1980), 1269-1273
MSC: Primary 65F10
MathSciNet review: 583503
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Abstract: We consider a linear system $Ax = b$ of n simultaneous equations, where A is a strictly diagonally dominant matrix. We get bounds for the spectral radius of the matrix ${L_{r,\omega }}$, which is accociated with the Accelerated Overrelaxation iterative method (AOR). Sufficient conditions for the convergence of that method will be given, which improve the results of Theorem 3, Section 4 of [2], applied to this type of matrices.

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Article copyright: © Copyright 1980 American Mathematical Society