\(B_{\pi}^R\)-matrices and error bounds for linear complementarity problems

DOI10.1007/s10092-016-0209-9zbMath1373.90162OpenAlexW2556296684MaRDI QIDQ1675426

Juan Manuel Peña, Marta García-Esnaola

Publication date: 27 October 2017

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-016-0209-9

zbMATH Keywords

error boundslinear complementarity problems\(B\)-matrices\(B_{\pi}^R\)-matrices

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Positive matrices and their generalizations; cones of matrices (15B48) Roundoff error (65G50)

Related Items (8)

CKV-type \(B\)-matrices and error bounds for linear complementarity problems ⋮ Global error bounds of the extended vertical linear complementarity problems for Dashnic-Zusmanovich matrices and Dashnic-Zusmanovich-B matrices ⋮ New error bounds for linear complementarity problems of \(\Sigma \)-SDD matrices and \(SB\)-matrices ⋮ On the asymptotic optimality of error bounds for some linear complementarity problems ⋮ Error bounds for linear complementarity problems of \(B_{\pi}^R\)-matrices ⋮ Global error bounds for the extended vertical LCP of \(B\)-type matrices ⋮ A new error bound for linear complementarity problems of weakly chained diagonally dominant B-matrices ⋮ Parameterized error bounds for linear complementarity problems of \(B_\pi ^R\)-matrices and their optimal values

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