Results 31 to 40 of about 1,935 (133)

On continuity of Guo Wuwen function

, 2014
We show that the functions g and gs introduced by Guo Wuwen in [4] are continuous and semialgebraic. We use this fact to prove that the set Nn of ordered n-tuples of real numbers, realizable by nonnegative matrices, is a closed ...
Ambroży, Z., Biborski, I.
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Fixed points of rotations of n‐sphere

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 221-222, 1999., 1999
We show that every rotation of an even‐dimensional sphere must have a fixed point.
Nagabhushana Prabhu
wiley   +1 more source

Equality in Wielandt's eigenvalue inequality

, 2015
In this paper we give necessary and sufficient conditions for the equality case in Wielandt's eigenvalue inequality.Comment: 6 pages, few typos are ...
Friedland, Shmuel
core   +2 more sources

Eigenvalue Localization Inequalities for Complex Matrices With Order n≥3

Advances in Mathematical Physics
MSC2020 Classification: 15A18, 15A60 ...
Rong Ma, Feng Zhang
doaj   +1 more source

On Determining Minimal Spectrally Arbitrary Patterns

, 2005
In this paper we present a new family of minimal spectrally arbitrary patterns which allow for arbitrary spectrum by using the Nilpotent-Jacobian method.
Cavers, Michael S., Kim, In-Jae, Meulen, Kevin N. Vander, Shader, Bryan L.   +3 more
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A Fourth‐Order Ulm‐Type Method for Inverse Eigenvalue Problems

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
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

An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms

Open Mathematics, 2022
A positive definite homogeneous multivariate form plays an important role in the field of optimization, and positive definiteness of the form can be identified by a special structured tensor.
Bai Dongjian, Wang Feng
doaj   +1 more source

Update on the role of genetic factors, environmental factors and allergens in canine atopic dermatitis

Veterinary Dermatology, Volume 35, Issue 1, Page 15-24, February 2024.
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, Manolis Saridomichelakis, Melissa Eisenschenk, Chie Tamamoto‐Mochizuki, Cherie Pucheu‐Haston, Domenico Santoro, for the International Committee on Allergic Diseases of Animals (ICADA), Frane Banovic, Emmanuel Bensignor, Douglas DeBoer, Craig Griffin, Ralf Mueller, Tim Nuttall, Christine Prost   +13 more
wiley   +1 more source

Existence of a Not Necessarily Symmetric Matrix with Given Distinct Eigenvalues and Graph

, 2016
For given k distinct complex conjugate pairs, l distinct real numbers, and a given graph G on 2k+l vertices with a matching of size at least k, we will show that there is a real matrix whose eigenvalues are the given numbers and its graph is G.
Monfared, Keivan Hassani
core   +1 more source

Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]

, 2014
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