Positive Subdefinite Matrices, Generalized Monotonicity, and Linear Complementarity Problems

DOI10.1137/S0895479897331849zbMath0985.26008OpenAlexW2064608549MaRDI QIDQ2706242

Siegfried Schaible, A. Lahlou, Jean-Pierre Crouzeix, Abdelhak Hassouni

Publication date: 19 March 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479897331849

zbMATH Keywords

linear complementaritycopositivitygeneralized monotonicitycopositivity starpositive subdefiniteness

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Monotone operators and generalizations (47H05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Convexity of real functions of several variables, generalizations (26B25)

Related Items (14)

On the range of the pseudomonotone second-order cone linear complementarity problem ⋮ Translations of quasimonotone maps and monotonicity ⋮ Characterizing \(Q\)-matrices beyond \(L\)-matrices ⋮ Existence theorems for linear complementarity problems on solid closed convex cones ⋮ Finiteness of Criss-Cross Method in Complementarity Problem ⋮ Think co(mpletely)positive! Matrix properties, examples and a clustered bibliography on copositive optimization ⋮ On generalizations of positive subdefinite matrices and the linear complementarity problem ⋮ On the Tikhonov regularization of affine pseudomonotone mappings ⋮ Pseudomonotonicity of an affine map and the two dimensional case ⋮ More on positive subdefinite matrices and the linear complementarity problem ⋮ Total dual integrality and integral solutions of the linear complementarity problem ⋮ Equivalence betweenp-cyclic quasimonotonicity andp-cyclic monotonicity of affine maps ⋮ Solution analysis for the pseudomonotone second-order cone linear complementarity problem ⋮ On weak generalized positive subdefinite matrices and the linear complementarity problem

This page was built for publication: Positive Subdefinite Matrices, Generalized Monotonicity, and Linear Complementarity Problems