Results 31 to 40 of about 438 (60)

A p-adic Perron-Frobenius Theorem

, 2016
We prove that if an $n\times n$ matrix defined over ${\mathbb Q}_p$ (or more generally an arbitrary complete, discretely-valued, non-Archimedean field) satisfies a certain congruence property, then it has a strictly maximal eigenvalue in ${\mathbb Q}_p$,
Costa, Robert, Dynes, Patrick, Petsche, Clayton   +2 more
core   +1 more source

Support-based lower bounds for the positive semidefinite rank of a nonnegative matrix [PDF]

, 2013
The positive semidefinite rank of a nonnegative $(m\times n)$-matrix~$S$ is the minimum number~$q$ such that there exist positive semidefinite $(q\times q)$-matrices $A_1,\dots,A_m$, $B_1,\dots,B_n$ such that $S(k,\ell) = \mbox{tr}(A_k^* B_\ell)$.
Dirk, Oliver Theis, Troy Lee
core  

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

Asymptotic behaviour of random tridiagonal Markov chains in biological applications

, 2012
Discrete-time discrete-state random Markov chains with a tridiagonal generator are shown to have a random attractor consisting of singleton subsets, essentially a random path, in the simplex of probability vectors.
A. E. Hutzenthaler, A. Leizarowitz, B. Noble, B. S. Thomson, D. J. Hartfiel, D. J. Hartfiel, D. N. Cheban, D. Wodarz, E. Asarin, H. Cohn, I. Chueshov, I. Chueshov, J. Wolfowitz, J.-P. Aubin, L. Arnold, L. J. S. Allen, M. A. Krasnosel$'$skij, M. F. Barnsley, M. Neumann, P. E. Kloeden, P. Imkeller, P. J. Bushell   +21 more
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

On odd powers of nonnegative polynomials that are not sums of squares

Forum of Mathematics, Sigma
We initiate a systematic study of nonnegative polynomials P such that $P^k$ is not a sum of squares for any odd $k\geq 1$ , calling such P stubborn. We develop a new invariant of a real isolated zero of a nonnegative polynomial in the plane,
Grigoriy Blekherman, Khazhgali Kozhasov, Bruce Reznick   +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

The higher rank numerical range of nonnegative matrices

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