On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem

DOI10.1016/j.laa.2009.07.031zbMath1189.90169OpenAlexW2034518810MaRDI QIDQ1044591

Thiruvenkatachari Parthasarathy, Chandrashekaran Arumugasamy, Vetrivel, V.

Publication date: 18 December 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.031

zbMATH Keywords

equivalencelinear transformations

Mathematics Subject Classification ID

Semidefinite programming (90C22) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (6)

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 the completely-Q property for linear transformations on Euclidean Jordan algebras ⋮ Characterizing \(\mathbf Q\)-linear transformations for semidefinite linear complementarity problems ⋮ On the Lipschitzian property in linear complementarity problems over symmetric cones ⋮ Jordan quadratic SSM-property and its relation to copositive linear transformations on Euclidean Jordan algebras

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• Existence and Uniqueness of Search Directions in Interior-Point Algorithms for the SDP and the Monotone SDLCP
• Some New Results for the Semidefinite Linear Complementarity Problem
• Relationship Between Strong Monotonicity Property, P₂-Property, and the Gus-Property in Semidefinite Linear Complementarity Problems
• On the Lipschitz Continuity of the Solution Map in Semidefinite Linear Complementarity Problems

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