Results 41 to 50 of about 438 (51)

Perron Spectratopes and the Real Nonnegative Inverse Eigenvalue Problem

, 2015
Call an $n$-by-$n$ invertible matrix $S$ a \emph{Perron similarity} if there is a real non-scalar diagonal matrix $D$ such that $S D S^{-1}$ is entrywise nonnegative.
Johnson, Charles R., Paparella, Pietro
core   +1 more source

Refined inertias of positive and hollow positive patterns

Special Matrices
We investigate refined inertias of positive patterns and patterns that have each off-diagonal entry positive and each diagonal entry zero, i.e., hollow positive patterns. For positive patterns, we prove that every refined inertia (n+,n−,nz,2np)\left({n}_{
Berliner Adam H., Catral Minerva, Olesky D. D., van den Driessche P.   +3 more
doaj   +1 more source

Matrices having a positive determinant and all other minors nonpositive

Special Matrices
The class of square matrices of order nn having a positive determinant and all their minors up to order n−1n-1 nonpositive is considered. A characterization of these matrices based on the Cauchon algorithm is presented, which provides an easy test for ...
Hassuneh Imad, Adm Mohammad, Garloff Jürgen   +2 more
doaj   +1 more source

On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains. [PDF]

Entropy (Basel), 2023
Thankamani P, Sebastian N, Haubold HJ.
europepmc   +1 more source

Infinitely divisible nonnegative matrices, $M$-matrices, and the embedding problem for finite state stationary Markov Chains

, 2017
This paper explicitly details the relation between $M$-matrices, nonnegative roots of nonnegative matrices, and the embedding problem for finite-state stationary Markov chains.
Van-Brunt, Alexander
core  

Monotonicity of the number of positive entries in nonnegative matrix powers. [PDF]

J Inequal Appl, 2018
Xie Q.
europepmc   +1 more source

Inertias and ranks of some Hermitian matrix functions with applications

Open Mathematics, 2012
Zhang Xiang, Wang Qing-Wen, Liu Xin
doaj   +1 more source

On a nonnegative irreducible matrix that is similar to a positive matrix

Open Mathematics, 2012
Loewy Raphael
doaj   +1 more source

The higher rank numerical range of nonnegative matrices

Open Mathematics, 2013
Aretaki Aikaterini, Maroulas Ioannis
doaj   +1 more source

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ON THE IRREDUCIBILITY, SELF-DUALITY, AND NON-HOMOGENEITY OF COMPLETELY POSITIVE CONES

, 2013
M. Gowda, R. Sznajder
semanticscholar   +1 more source