Results 41 to 50 of about 2,154 (143)
Special Matrices, 2019 Given a combinatorially symmetric matrix A whose graph is a tree T and its eigenvalues, edges in T can be classified in four categories, based upon the change in geometric multiplicity of a particular eigenvalue, when the edge is removed.
Toyonaga Kenji
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Proper holomorphic mappings of the spectral unit ball
, 2007 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
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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 +13 more
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Exclusion sets in the S-type eigenvalue localization sets for tensors
Open Mathematics, 2019 In this paper, we break the index set N into disjoint subsets S and its complement, and propose two S-type exclusion sets that all the eigenvalues do not belong to them.
Zhang Yuan, Zhang Ying, Wang Gang
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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
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More on the minimum skew-rank of graphs
, 2015 The minimum (maximum) skew-rank of a simple graph G over real field is the smallest (largest) possible rank among all skew-symmetric matrices over real field whose i j -th entry is nonzero whenever viv j is an edge in G and is zero otherwise.
Hui Qu, Guihai Yu, Linhua Feng
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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
The expected adjacency and modularity matrices in the degree corrected stochastic block model
Special Matrices, 2018 We provide explicit expressions for the eigenvalues and eigenvectors of matrices that can be written as the Hadamard product of a block partitioned matrix with constant blocks and a rank one matrix.
Fasino Dario, Tudisco Francesco
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Some inequalities on the skew-spectral radii of oriented graphs
, 2012 Let G be a simple graph and Gσ be an oriented graph obtained from G by assigning a direction to each edge of G. The adjacency matrix of G is A(G) and the skew-adjacency matrix of Gσ is S(Gσ).
Guang-Hui Xu
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The Diagonalizable Nonnegative Inverse Eigenvalue Problem
Special Matrices, 2018 In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices.
Cronin Anthony G, Laffey Thomas J.
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