Results 11 to 20 of about 1,268 (93)
Eigenvalue Localization Inequalities for Complex Matrices With Order n≥3
MSC2020 Classification: 15A18, 15A60 ...
Rong Ma, Feng Zhang
doaj +2 more sources
Symmetric norms and reverse inequalities to Davis and Hansen-Pedersen characterizations of operator convexity [PDF]
Some rearrangement inequalities for symmetric norms on matrices are given as well as related results for operator convex functions.
Bourin, Jean-Christophe
arxiv +3 more sources
Background – Hymenoptera envenomation with honey bee (Apis mellifera) and paper wasp (Polistes spp.) may cause life‐threatening anaphylaxis in dogs. In human patients, clinical history, intradermal testing (IDT) and measurement of allergen‐specific serological immunoglobulin (Ig)E (sIgE) are used to support a diagnosis of Hymenoptera venom ...
Hilary H. Chan+3 more
wiley +1 more source
Background – Because of the increased incidence of multidrug‐resistant (MDR) bacteria, the use of disinfectants over antibiotics has been encouraged. However, the interactions between disinfectants and host local immunity are poorly understood. Objective – To assess the effects of chlorhexidine digluconate (Chx), with and without selected host defence ...
Domenico Santoro+3 more
wiley +1 more source
On minimal norms on $M_n$ [PDF]
In this note, we show that for each minimal norm $N(\cdot)$ on the algebra $M_n$ of all $n \times n$ complex matrices, there exist norms $\|\cdot\|_1$ and $\|\cdot\|_2$ on ${\mathbb C}^n$ such that $$N(A)=\max\{\|Ax\|_2: \|x\|_1=1, x\in {\mathbb C}^n\}$$
Mirzavaziri, Madjid+1 more
core +4 more sources
Spectral radius of Hadamard product versus conventional product for non-negative matrices [PDF]
We prove an inequality for the spectral radius of products of non-negative matrices conjectured by X. Zhan. We show that for all $n\times n$ non-negative matrices $A$ and $B$, $\rho(A\circ B)\le\rho((A\circ A)(B\circ B))^{1/2}\le\rho(AB)$, where $\circ ...
Audenaert, Koenraad M. R.
core +2 more sources
A matrix subadditivity inequality for f(A+B) and f(A)+f(B) [PDF]
Let f be a non-negative concave function on the positive half-line. Let A and B be two positive matrices. Then, for all symmetric norms, || f(A+B) || is less than || f(A)+f(B) ||. When f is operator concave, this was proved by Ando and Zhan.
Bourin, Jean-Christophe+1 more
core +3 more sources
An explicit Lipschitz constant for the joint spectral radius [PDF]
In 2002 F. Wirth has proved that the joint spectral radius of irreducible compact sets of matrices is locally Lipschitz continuous as a function of the matrix set.
Kozyakin, Victor
core +2 more sources
On a decomposition lemma for positive semi-definite block-matrices [PDF]
This short note, in part of expository nature, points out several new or recent consequences of a quite nice decomposition for positive semi-definite ...
Bourin, Jean-Christophe+2 more
core +2 more sources
Background ‐ Bacterial eradication is necessary for clinical cure of infections and antimicrobial agents are important adjunctive therapies for inhibiting the growth of or killing bacteria. Pre‐existing skin diseases predispose animals to infection by Staphylococcus pseudintermedius and, more rarely, by Gram‐negative bacilli.
Joseph M. Blondeau+1 more
wiley +1 more source