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New error bounds for the linear complementarity problem with an \(SB\)-matrix - MaRDI portal

New error bounds for the linear complementarity problem with an \(SB\)-matrix (Q2636944)

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New error bounds for the linear complementarity problem with an \(SB\)-matrix
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    New error bounds for the linear complementarity problem with an \(SB\)-matrix (English)
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    18 February 2014
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    The authors establish some new error bounds for a linear complementarity problem with an \(SB\)-matrix. The proposed error bounds are sharper than those of the paper by \textit{P.-F. Dai} et al. [Numer. Algorithms 61, No. 1, 121--139 (2012; Zbl 1266.65090)] under some wild assumptions. The computational experiments are provided to illustrate the theoretical results obtained in this paper.
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    error bounds
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    linear complementarity problem
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    \(B\)-matrices
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    \(SB\)-matrices
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    \(P\)-matrices
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    numerical examples
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