On some properties of \(\mathbf P\)-matrix sets

DOI10.1016/S0024-3795(98)10228-8zbMath0949.15027MaRDI QIDQ1300909

M. Seetharama Gowda, Gomatam Ravindran, Yoon J. Song

Publication date: 30 September 1999

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

zbMATH Keywords

linear complementarity problemconvex setcompact setP-matrixZ-matrix

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

On Relation Between P-Matrices and Regularity of Interval Matrices, On minimizing the implicit Lagrangian for nonlinear complementarity problems under \(H\)-differentiability, Complementarity problems over a hypermatrix (tensor) set, Further application of \(H\)-differentiability to generalized complementarity problems based on generalized Fisher-Burmeister functions, An application of \(H\)-differentiability to nonnegative and unrestricted generalized complementarity problems, On linear co-positive Lyapunov functions for sets of linear positive systems, \(P_{\max}^1\) and \(S_{\max}\) properties and asymptotic stability in the max algebra, On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems, Stability of diffusively coupled linear systems with an invariant cone, On intervals and sets of hypermatrices (tensors)

Cites Work

• Generalizations of \(\mathbf P_ 0\)- and \(\mathbf P\)-properties; extended vertical and horizontal linear complementarity problems
• The Generalized Order Linear Complementarity Problem
• Interval P-Matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item