Results 21 to 30 of about 2,183 (141)
Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
Special Matrices, 2020 Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
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On the spectrum of noisy blown-up matrices
Special Matrices, 2020 We study the eigenvalues of large perturbed matrices. We consider a pattern matrix P, we blow it up to get a large block-matrix Bn. We can observe only a noisy version of matrix Bn. So we add a random noise Wn to obtain the perturbed matrix An = Bn + Wn.
Fazekas István, Pecsora Sándor
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Linear maps of positive partial transpose matrices and singular value inequalities
, 2020 Linear maps Φ : Mn → Mk are called m -PPT if [Φ(Ai j)]i, j=1 are positive partial transpose matrices for all positive semi-definite matrices [Ai j]i, j=1 ∈ Mm(Mn) .
Xiaohui Fu, Pan-Shun Lau, T. Tam
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Mediators of Inflammation, Volume 13, Issue 2, Page 111-117, 2004., 2004 BACKGROUND and aim: Macrolide antibiotics are widely used in the treatment of suppurative lung diseases including cystic fibrosis (CF), the most common inherited fatal disease in the Caucasian population. This condition is characterized by secondary Pseudomonas infection resulting in neutrophil infiltration within the airways.
Alexander L. Pukhalsky +5 more
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Special Matrices, 2020 We correct an error in the original Lemma 3.4 in our paper “Achievable Multiplicity partitions in the IEVP of a graph”’ [Spec. Matrices 2019; 7:276-290.]. We have re-written Section 3 accordingly.
Adm Mohammad +5 more
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A note on the spectra of tridiagonal matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 30, Page 1575-1579, 2004., 2004 Using orthogonal polynomials, we give a different approach to some recent results on tridiagonal matrices.
C. M. da Fonseca, J. Petronilho
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Special Matrices, 2019 Considered are combinatorially symmetric matrices, whose graph is a given tree, in view of the fact recent analysis shows that the geometric multiplicity theory for the eigenvalues of such matrices closely parallels that for real symmetric (and complex ...
Saiago Carlos M.
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On real or integral skew Laplacian spectrum of digraphs
, 2020 For a simple connected graph G with n vertices and m edges, let −→ G be a digraph obtained by giving an arbitrary direction to the edges of G . In this paper, we consider the skew Laplacian matrix of a digraph −→ G and we obtain the skew Laplacian ...
S. Pirzada +2 more
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Perturbed spectra of defective matrices
Journal of Applied Mathematics, Volume 2003, Issue 3, Page 115-140, 2003., 2003 This paper is devoted to the perturbation theory for defective matrices. We consider the asymptotic expansions of the perturbed spectrum when a matrix A is changed to A + tE, where E ≠ 0 and t > 0 is a small parameter. In particular, we analyse the rational exponents that may occur when the matrix E varies over the sphere ‖E‖ = ρ > 0.
Mihail Konstantinov +2 more
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A note on the three-way generalization of the Jordan canonical form
Open Mathematics, 2018 The limit point 𝓧 of an approximating rank-R sequence of a tensor Ƶ can be obtained by fitting a decomposition (S, T, U) ⋅ 𝓖 to Ƶ. The decomposition of the limit point 𝓧 = (S, T, U) ⋅ 𝓖 with 𝓖 = blockdiag(𝓖1, … , 𝓖m) can be seen as a three order ...
Cui Lu-Bin, Li Ming-Hui
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