Document Zbl 1117.65048

New estimations of the spectral radii of J, G-S and SOR iterative matrices for a class of linear systems. (English) Zbl 1117.65048

Int. J. Comput. Math. 84, No. 1, 23-31 (2007).

Estimates of the spectral radius of iterative matrices in terms of row sums are often used. Roughly speaking, here uniform row sums are replaced by individual ones. This leads to improvements in the numerical examples that are presented.

Reviewer: Dietrich Braess (Bochum)

MSC:

65F10	Iterative numerical methods for linear systems
15A42	Inequalities involving eigenvalues and eigenvectors

Keywords:

SOR iteration; spectral radius; diagonal dominance; Jacobi method; Gauss-Seidel method; successive overrelaxation; numerical examples

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References:

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