N-matrices

DOI10.1016/0024-3795(90)90390-XzbMath0719.15010OpenAlexW4205439013MaRDI QIDQ5925248

Gomatam Ravindran, Thiruvenkatachari Parthasarathy

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90390-x

zbMATH Keywords

game theorylinear complementarity problemcharacterizationP-matrixprincipal minorsN-matrixsign-reversal property

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (18)

A new subclass of \(Q_0\)-matrix in linear complementarity theory ⋮ Interval hulls of \(N\)-matrices and almost \(P\)-matrices ⋮ 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 Euclidean distance matrices ⋮ Quasi-\(LDU\) factorization of nonsingular totally nonpositive matrices ⋮ Algorithmic detection and construction of N-matrices ⋮ On singular \(N_{0}\)-matrices and the class \(Q\) ⋮ On Perron complements of inverse \(N_{0}\)-matrices ⋮ \(N\)-matrix completion problem. ⋮ The \(N\)-matrix completion problem under digraphs assumptions. ⋮ On characterizing \(N\)-matrices using linear complementarity ⋮ Combinatorial eigenvalues of matrices ⋮ On distance matrices and Laplacians ⋮ On hidden \(\mathbf{Z}\)-matrices and the linear complementarity problem ⋮ The symmetric \(N\)-matrix completion problem ⋮ Notes on sufficient matrices ⋮ On nonsingular sign regular matrices

Cites Work

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• Characterization of infinitely divisible multivariate gamma distributions
• A generalization of N-matrices
• On global univalence theorems
• Some matrix inequalities
• The Jacobian matrix and global univalence of mappings
• On the number of solutions to a class of linear complementarity problems
• The Jacobian Matrix, Global Univalence and Completely Mixed Games
• Some Aspects of the Theory of $PN$-Matrices
• The Production Coefficient Matrix and the Stolper-Samuelson Condition

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