New error bounds for the linear complementarity problem with an SB‐matrix

New error bounds for the linear complementarity problem with an SB‐matrix

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Article ID: iaor2014214
Volume: 64
Issue: 4
Start Page Number: 741
End Page Number: 757
Publication Date: Dec 2013
Journal: Numerical Algorithms
Authors: , ,
Keywords: matrices
Abstract:

Error bounds for SB‐matrices linear complementarity problems are given in the paper (Dai et al., 2012). In this paper, new error bounds for the linear complementarity problem when the matrix involved is an SB‐matrix are presented and some sufficient conditions that new bounds are sharper than those of the previous paper under certain assumptions are provided. New perturbation bounds of SB‐matrices linear complementarity problems are also considered.

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