Basic Soules matrices and their applications

DOI10.1016/j.laa.2006.09.021zbMath1152.15022OpenAlexW2087680354MaRDI QIDQ935370

B. E. Eshmatov

Publication date: 6 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.09.021

zbMATH Keywords

\(M\)-matrixnonnegative matrixgeneralized inversedoubly stochastic matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Stochastic matrices (15B51)

Related Items (2)

Generalized Helmert-Ledermann orthogonal matrices and ROM simulation ⋮ On Mardia skewness and kurtosis of Soules basis matrices in ROM simulation

Cites Work

• On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices
• The symmetric nonnegative inverse eigenvalue problem for \(5 \times 5\) matrices
• Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
• Double Soules pairs and matching Soules bases
• Uncoupling the Perron eigenvector problem
• Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
• Orthogonal bases that leads to symmetric nonnegative matrices
• Inequalities for permanents involving Perron complements
• Generalized inverses. Theory and applications.
• On single and double Soules matrices
• A note on the convexity of the realizable set of eigenvalues for nonnegative symmetric matrices
• Constructing symmetric nonnegative matrices
• Matrices Whose Powers are M-Matrices or Z-Matrices
• A polynomial time spectral decomposition test for certain classes of inverse M-matrices
• Shorter Notes: Convexity of the Dominant Eigenvalue of an Essentially Nonnegative Matrix
• Convex spectral functions
• Monotonicity of permanents of doubly stochastic matrices
• Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems
• Inverse of Strictly Ultrametric Matrices are of Stieltjes Type
• Diagonally dominant matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Basic Soules matrices and their applications