Relationship Between Strong Monotonicity Property, P2-Property, and the Gus-Property in Semidefinite Linear Complementarity Problems

DOI10.1287/moor.27.2.326.319zbMath1082.90569OpenAlexW2054118412MaRDI QIDQ5704079

D. Sampangi Raman, B. Sriparna, Thiruvenkatachari Parthasarathy

Publication date: 11 November 2005

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.27.2.326.319

zbMATH Keywords

Lyapunov transformationpositive semidefinite matrixstrong monotonicity propertyGUS-property\(P_2\)-propertySemidefinite linear complementarity problem

Mathematics Subject Classification ID

Semidefinite programming (90C22) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (12)

Preface: International conference on game theory and optimization, June 6--10, 2016, Indian Institute of Technology Madras, Chennai, India ⋮ T. Parthasarathy's contributions to complementarity problems: a survey ⋮ On some interconnections between strict monotonicity, globally uniquely solvable, and \(P\) properties in semidefinite linear complementarity problems. ⋮ Characterizing \(\mathbf Q\)-linear transformations for semidefinite linear complementarity problems ⋮ Characterization of \(Q\)-property for multiplicative transformations in semidefinite linear complementarity problems ⋮ Some P-properties for linear transformations on Euclidean Jordan algebras ⋮ Cartesian \(P\)-property and its applications to the semidefinite linear complementarity problem ⋮ On \(Q\) and \(R_0\) properties of a quadratic representation in linear complementarity problems over the second-order cone ⋮ Some geometrical aspects of semidefinite linear complementarity problems ⋮ Positive principal minor property of linear transformations on Euclidean Jordan algebras ⋮ Extensions of P-property, R0-property and semidefinite linear complementarity problems ⋮ On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem

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