Abstract
In (2013) [18], García-Esnaola and Peña presented error bounds for the linear complementarity problems of Σ-SDD and Σ1-SSD matrices respectively. These bounds all involve a parameter on an open interval. It is shown in this paper that the infimum of these error bounds as a function of the parameter exists, and then is determined. Numerical examples are given to verify the theoretical results.
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