Karamardian Matrices: A Generalization of $Q$-Matrices

zbMath1465.15023arXiv2005.08171MaRDI QIDQ4989738

Sushmitha Parameswaran, K. C. Sivakumar, Megan Wendler

Publication date: 26 May 2021

Full work available at URL: https://arxiv.org/abs/2005.08171

zbMATH Keywords

linear complementarity problemgroup inversenonnegativity\(P\)-matrix\(Q\)-matrix\(Z\)-matrixrange monotonicity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear inequalities of matrices (15A39) Linear equations (linear algebraic aspects) (15A06) Special matrices (15B99)

Related Items (2)

Q_#-matrices and Q_†-matrices: two extensions of the Q-matrix concept ⋮ M-matrix and inverse M-matrix extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Nonnegative generalized inverses and certain subclasses of singular \(Q\)-matrices
• Complementarity properties of singular \(M\)-matrices
• Characterizing \(Q\)-matrices beyond \(L\)-matrices
• On characterizing \(N\)-matrices using linear complementarity
• An existence theorem for the complementarity problem
• Eight types of matrix monotonicity
• M-matrices leading to semiconvergent splittings
• Generalized inverses. Theory and applications.
• M-matrix and inverse M-matrix extensions
• Semimonotone matrices
• The convexity of \(A\) and \(B\) assures \(\text{int} A + B = \text{int}(A + B)\)
• Some generalizations of positive definiteness and monotonicity
• The Linear Complementarity Problem
• Semipositivity of matrices
• On the Cayley transform of positivity classes of matrices
• P_†-matrices: a generalization ofP-matrices
• A Probelm in Linear Inequalities
• Characterizations of Real Matrices of Monotone Kind
• On a Problem in Linear Inequalities

This page was built for publication: Karamardian Matrices: A Generalization of $Q$-Matrices