Results 11 to 20 of about 1,797 (66)
The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
wiley +1 more source
An Explicit Formula for the Matrix Logarithm
We present an explicit polynomial formula for evaluating the principal logarithm of all matrices lying on the line segment $\{I(1-t)+At:t\in [0,1]\}$ joining the identity matrix $I$ (at $t=0$) to any real matrix $A$ (at $t=1$) having no eigenvalues on ...
Cardoso, Joao R.
core +2 more sources
Fixed points of rotations of n‐sphere
We show that every rotation of an even‐dimensional sphere must have a fixed point.
Nagabhushana Prabhu
wiley +1 more source
The distance signatures of the incidence graphs of affine resolvable designs
In this note, we determined the distance signatures of the incidence matrices of affine resolvable designs.
Ma, Jianmin
core +1 more source
Proper holomorphic mappings of the spectral unit ball
We prove an Alexander type theorem for the spectral unit ball $\Omega_n$ showing that there are no non-trivial proper holomorphic mappings in $\Omega_n$, $n\geq 2$.Comment: 6 ...
Zwonek, Wlodzimierz
core +1 more source
A Fourth‐Order Ulm‐Type Method for Inverse Eigenvalue Problems
In this paper, we propose a fourth‐order Ulm‐type method for solving inverse eigenvalue problems based on a two‐step Ulm‐type iterative process and Cayley transform. Under some mild assumptions, our results indicate that our method is fourth‐order convergent. The numerical implementation proves the effectiveness of the proposed method.
Xin Li, Wei Ma, Zhaojie Zhou
wiley +1 more source
Background – Canine atopic dermatitis (cAD) is a common, complex and multifactorial disease involving, among others, genetic predisposition, environmental factors and allergic sensitisation. Objective – This review summarises the current evidence on the role of genetic and environmental factors and allergic sensitisation in the pathogenesis of cAD ...
Patrick Hensel +13 more
wiley +1 more source
Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]
Let $A, B$ and $X$ be $n\times n$ matrices such that $A, B$ are positive semidefinite. We present some refinements of the matrix Cauchy-Schwarz inequality by using some integration techniques and various refinements of the Hermite--Hadamard inequality ...
Bakherad, Mojtaba
core
Changes in signature induced by the Lyapunov mapping LA : X → AX + XAA±
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 503-506, 1989.
Tyler Haynes
wiley +1 more source
In this note, we establish some connection between the nonnegative inverse eigenvalue problem and that of doubly stochastic one. More precisely, we prove that if $(r; {\lambda}_2, ..., {\lambda}_n)$ is the spectrum of an $n\times n$ nonnegative matrix A ...
Mourad, Bassam
core

