Results 31 to 40 of about 256 (175)
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
wiley +1 more source
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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Special Matrices, 2021 Given a real number a ≥ 1, let Kn(a) be the set of all n × n unit lower triangular matrices with each element in the interval [−a, a]. Denoting by λn(·) the smallest eigenvalue of a given matrix, let cn(a) = min {λ n(YYT) : Y ∈ Kn(a)}.
Altınışık Ercan
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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
wiley +1 more source
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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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
wiley +1 more source
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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Journal of Applied Mathematics, Volume 2003, Issue 9, Page 459-485, 2003., 2003 A comprehensive treatment of Rayleigh‐Schrödinger perturbation theory for the symmetric matrix eigenvalue problem is furnished with emphasis on the degenerate problem. The treatment is simply based upon the Moore‐Penrose pseudoinverse thus distinguishing it from alternative approaches in the literature.
Brian J. McCartin
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Row stochastic inverse eigenvalue problem [PDF]
, 2011 In this paper, we give sufficient conditions or realizability criteria for the existence of a row stochastic matrix with a given spectrum Λ = {λ1, ..., λn} = Λ1 ∪ ⋯ ∪ Λm ∪ Λm+1, m > 0; where (pk ...
Chang-qing Xu +3 more
core +1 more source
Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem
Special Matrices, 2019 The real nonnegative inverse eigenvalue problem (RNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a nonnegative real matrix.
Marijuán C. +2 more
doaj +1 more source