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The extended linear complementarity problem [PDF]

SIAM Journal on Matrix Analysis and Applications, 1995
In this paper we define the Extended Linear Complementarity Problem (ELCP), an extension of the well-known Linear Complementarity Problem (LCP). We study the general solution set of an ELCP and we present an algorithm to find all its solutions.
Bart De Moor, Bart De Schutter
core   +8 more sources

Linear complementarity problems on extended second order cones [PDF]

Journal of Optimization Theory and Applications, 2018
In this paper, we study the linear complementarity problems on extended second order cones. We convert a linear complementarity problem on an extended second order cone into a mixed complementarity problem on the non-negative orthant.
Németh, S. Z., Xiao, L.
core   +5 more sources

New global error bound for extended linear complementarity problems [PDF]

Journal of Inequalities and Applications, 2018
For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions.
Hongchun Sun, Min Sun, Yiju Wang
doaj   +3 more sources

The Solution Set Characterization and Error Bound for the Extended Mixed Linear Complementarity Problem [PDF]

Journal of Applied Mathematics, 2012
For the extended mixed linear complementarity problem (EML CP), we first present the characterization of the solution set for the EMLCP. Based on this, its global error bound is also established under milder conditions. The results obtained in this paper
Hongchun Sun, Yiju Wang
doaj   +3 more sources

Global error bounds of the extended vertical linear complementarity problems for Dashnic–Zusmanovich matrices and Dashnic–Zusmanovich-B matrices

Journal of Inequalities and Applications, 2022
Global error bounds of the extended vertical linear complementarity problems for Dashnic–Zusmanovich (DZ) matrices and Dashnic–Zusmanovich-B (DZ-B) matrices are presented, respectively.
Yingxia Zhao, Deshu Sun
doaj   +3 more sources

The Linear Dynamic Complementarity Problem is a special case of the Extended Linear Complementarity Problem [PDF]

Systems & Control Letters, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Schutter, Bart, de Moor, Bart
openaire   +6 more sources

Asymptotic Analysis for One-Stage Stochastic Linear Complementarity Problems and Applications

Mathematics, 2023
One-stage stochastic linear complementarity problem (SLCP) is a special case of a multi-stage stochastic linear complementarity problem, which has important applications in economic engineering and operations management.
Shuang Lin, Jie Zhang, Chen Qiu
doaj   +1 more source

Local Uniqueness of Solutions to the Extended Linear Complementarity Problem

Journal of Optimization Theory and Applications, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, J. Z., Xiu, N. H.
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A class of singular Ro-matrices and extensions to semidefinite linear complementarity problems [PDF]

Yugoslav Journal of Operations Research, 2013
For ARnxn and qRn, the linear complementarity problem LCP(A, q) is to determine if there is xRn such that x ≥ 0; y = Ax + q ≥ 0 and xT y = 0. Such an x is called a solution of LCP(A,q).
Sivakumar K.C.
doaj   +1 more source

Method for analysis of planar motion of system with rigid and extremely flexible components via analogy with contact problem of rigid bodies

Mechanical Engineering Journal, 2021
Recent years have witnessed attempts to employ a system with rigid and extremely flexible components (SREF), usually consisting of strings, membranes, and so on, to realize huge structures for spacecraft in orbit.
Shuntaro OOSHIMA, Yoshiki SUGAWARA
doaj   +1 more source