Technical Report CS0851

TR#:CS0851
Class:CS
Title: NOTE ON ``IS SOR COLOR-BLIND?'':
Authors: Y. Shapira
PDFCS0851.pdf
Abstract: In their paper ``Is SOR Color-Blind?'', Adams and Jordan show that, for linear systems arising from 2-d PDEs and involving 9-coefficient stencils, the iteration matrix of lexicographically ordered SOR and that of multicolor SOR are similar. In this note, a short and simple proof for the assertion in the general case is given, assuming that the iteration matrix of the sequentially ordered SOR is nonsingular.
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