Results 1 to 10 of about 169 (28)
Veterinary 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
Matrix measure and application to stability of matrices and interval dynamical systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 75-85, 2003., 2003 Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended.
Ziad Zahreddine
wiley +1 more source
The Dittert′s function on a set of nonnegative matrices
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 709-716, 1990., 1990 Let Kn denote the set of all n × n nonnegative matrices with entry sum n. For X ∈ Kn with row sum vector (r1, …, rn), column sum vector (c1, …, cn), Let ϕ(X)=∏iri+∏jcj−perX. Dittert′s conjecture asserts that ϕ(X) ≤ 2 − n!/nn for all X ∈ Kn with equality iff X = [1/n]n×n. This paper investigates some properties of a certain subclass of Kn related to the
Suk Geun Hwang, Mun-Gu Sohn, Si-Ju Kim
wiley +1 more source
Hermite-Biehler, Routh-Hurwitz, and total positivity [PDF]
Linear Algebra and its Applications, 372 (2003), 105-110, 2005 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.
arxiv +1 more source
A note on infinite extreme correlation matrices [PDF]
Linear Algebra Appl. 428 (2008) 2501-2508, 2006 We give a characterization for the extreme points of the convex set of correlation matrices with a countable index set. A Hermitian matrix is called a correlation matrix if it is positive semidefinite with unit diagonal entries. Using the characterization we show that there exist extreme points of any rank.
arxiv +1 more source
On description of bistochastic Kadison-Schwarz operators on M_2(C) [PDF]
Open Systems & Information Dynamics Vol. 17, No. 3 (2010) 245-253, 2010 In this paper we describe bistochastic Kadison-Schawrz operators on $M_2(\mathbb{C})$. Such a description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of that characterization we construct Kadison-Schawrz operators, which are not completely positive.
arxiv +1 more source
On matrices with $Q^2$-scalings [PDF]
arXiv, 2014 We provide a counterexample to some statements dealing with a sufficient property for the square of a matrix to be a $P_0^+$ -matrix.
arxiv
A characterization of trace zero symmetric nonnegative 5x5 matrices [PDF]
, 2009 The problem of determining necessary and sufficient conditions for a set of real numbers to be the eigenvalues of a symmetric nonnegative matrix is called the symmetric nonnegative inverse eigenvalue problem (SNIEP). In this paper we solve SNIEP in the case of trace zero symmetric nonnegative 5x5 matrices.
arxiv +1 more source
Counterexamples for the convexity of certain matricial inequalities [PDF]
arXiv, 2007 This paper is withdrawn.
arxiv
Perron-Frobenius theorem for nonnegative multilinear forms and extensions [PDF]
, 2009 We prove an analog of Perron-Frobenius theorem for multilinear forms with nonnegative coefficients, and more generally, for polynomial maps with nonnegative coefficients. We determine the geometric convergence rate of the power algorithm to the unique normalized eigenvector.
arxiv +1 more source