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Matrix Analysis for Continuous-Time Markov Chains

open access: yesSpecial Matrices, 2021
Continuous-time Markov chains have transition matrices that vary continuously in time. Classical theory of nonnegative matrices, M-matrices and matrix exponentials is used in the literature to study their dynamics, probability distributions and other ...
Le Hung V., Tsatsomeros M. J.
doaj   +1 more source

Serum concentrations of IL‐31 in dogs with nonpruritic mast cell tumours or lymphoma

open access: yesVeterinary Dermatology, Volume 31, Issue 6, Page 466-e124, December 2020., 2020
Background The aim of this study was to compare serum interleukin (IL)‐31 concentrations in dogs with lymphoma and mast cell tumours (MCT) without pruritus to those of healthy dogs. Hypothesis/Objectives To determine if IL‐31 plays a role in tumour pathogenesis and if IL‐31 could be a biological marker for disease progression.
Nataliia Ignatenko   +8 more
wiley   +1 more source

The Number of P-Vertices of Singular Acyclic Matrices: An Inverse Problem

open access: yesDiscussiones Mathematicae Graph Theory, 2020
Let A be a real symmetric matrix. If after we delete a row and a column of the same index, the nullity increases by one, we call that index a P-vertex of A.
Du Zhibin, da Fonseca Carlos M.
doaj   +1 more source

Hermite-Biehler, Routh-Hurwitz, and total positivity [PDF]

open access: yes, 2003
Simple proofs of the Hermite-Biehler and Routh-Hurwitz theorems are presented. The total nonnegativity of the Hurwitz matrix of a stable real polynomial follows as an immediate corollary.Comment: 4 ...
Anagnost   +17 more
core   +3 more sources

M-matrix and inverse M-matrix extensions

open access: yesSpecial Matrices, 2020
A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J.   +6 more
doaj   +1 more source

A stabilization theorem for dynamics of continuous opinions [PDF]

open access: yes, 2005
A stabilization theorem for processes of opinion dynamics is presented. The theorem is applicable to a wide class of models of continuous opinion dynamics based on averaging (like the models of Hegselmann-Krause and Weisbuch-Deffuant).
Ben-Naim   +5 more
core   +2 more sources

The Minimum Rank Problem: a counterexample [PDF]

open access: yes, 2007
We provide a counterexample to a recent conjecture that the minimum rank of every sign pattern matrix can be realized by a rational matrix. We use one of the equivalences of the conjecture and some results from projective geometry.
Kopparty, Swastik   +1 more
core   +2 more sources

Positive diagonal scaling of a nonnegative tensor to one with prescribed slice sums [PDF]

open access: yes, 2009
In this paper we give necessary and sufficient conditions on a nonnegative tensor to be diagonally equivalent to a tensor with prescribed slice sums. These conditions are variations of Bapat-Raghavan and Franklin-Lorenz conditions.Comment: 6 pages, new ...
Friedland, Shmuel
core   +5 more sources

The inverse eigenvalue problem for symmetric anti-bidiagonal matrices [PDF]

open access: yes, 2005
The inverse eigenvalue problem for real symmetric matrices of the form 0 0 0 . 0 0 * 0 0 0 . 0 * * 0 0 0 . * * 0 . . . . . . . 0 0 * . 0 0 0 0 * * . 0 0 0 * * 0 . 0 0 0 is solved. The solution is shown to be unique.
Andrews   +6 more
core   +2 more sources

In vitro antimicrobial activity of a gel containing antimicrobial peptide AMP2041, chlorhexidine digluconate and Tris‐EDTA on clinical isolates of Pseudomonas aeruginosa from canine otitis

open access: yesVeterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo   +6 more
wiley   +1 more source

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