Results 11 to 20 of about 244 (170)
Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair
Special Matrices, 2020 Let (λ, v) be a known real eigenpair of an n×n real matrix A. In this paper it is shown how to locate the other eigenvalues of A in terms of the components of v. The obtained region is a union of Gershgorin discs of the second type recently introduced by
Marsli Rachid, Hall Frank J.
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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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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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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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A refinement of an inequality due to Ankeny and Rivlin
, 2020 Let $p(z)= \sum_{\nu =0}^n a_\nu z^\nu$ be a polynomial of degree $n$, $ M(p,R):= \max_{|z|=R \ge 0} |p(z)|,$ and $M(p,1):=M(p)$. Then by well-known result due to Ankeny and Rivlin \cite{Ankeny}, we have M(p.R)≤(Rn+12)M(p), R≥1. In this paper, we sharpen
TRIPATHI, Dinesh, Dinesh Tripathi
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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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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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