Abstract

This paper presents a modified heuristic based on the Wonder Bandwidth Reduction Algorithm with starting vertex given by the George-Liu algorithm. The results are obtained on a dataset of instances taken from the SuiteSparse matrix collection when solving linear systems using the zero-fill incomplete Cholesky-preconditioned conjugate gradient method. The numerical results show that the improved vertex labeling heuristic compares very favorably in terms of efficiency and performance with the well-known GPS algorithm for bandwidth and profile reductions.

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