Results 11 to 20 of about 203 (128)

The effect of removing a 2-downer edge or a cut 2-downer edge triangle for an eigenvalue

open access: yesSpecial Matrices, 2023
Edges in the graph associated with a square matrix over a field may be classified as to how their removal affects the multiplicity of an identified eigenvalue.
Toyonaga Kenji
doaj   +1 more source

Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair

open access: yesSpecial 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.
doaj   +1 more source

Exclusion sets in the S-type eigenvalue localization sets for tensors

open access: yesOpen 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
doaj   +1 more source

Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue

open access: yesSpecial 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
doaj   +1 more source

On the spectrum of noisy blown-up matrices

open access: yesSpecial 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
doaj   +1 more source

Anti‐inflammatory and immunomodulating effects of clarithromycin in patients with cystic fibrosis lung disease

open access: yesMediators 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

Corrigendum to “Achievable Multiplicity partitions in the Inverse Eigenvalue Problem of a graph” [Spec. Matrices 2019; 7:276-290.]

open access: yesSpecial 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
doaj   +1 more source

A note on the spectra of tridiagonal matrices

open access: yesInternational 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

Diagonalizable matrices whose graph is a tree: the minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments

open access: yesSpecial 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.
doaj   +1 more source

Corrigendum to “Spectra universally realizable by doubly stochastic matrices”

open access: yesSpecial Matrices, 2023
We correct an error in the statement and the proof of Theorem 2.1 and Corollary 2.1 in our previous study [Spec. Matrices 6 (2018), 301–309], Section 2: On nonnegative matrices similar to positive matrices.
Collao Macarena   +2 more
doaj   +1 more source

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