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15-XX Linear and multilinear algebra; matrix theory
15Axx Basic linear algebra

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Displaying 41 – 48 of 48

Bounds on the subdominant eigenvalue involving group inverses with applications to graphs

Stephen J. Kirkland, Neumann, Michael, Bryan L. Shader (1998)

Czechoslovak Mathematical Journal

Let $A$ be an $n \times n$ symmetric, irreducible, and nonnegative matrix whose eigenvalues are $λ_{1} > λ_{2} \geq ... \geq λ_{n}$ . In this paper we derive several lower and upper bounds, in particular on $λ_{2}$ and $λ_{n}$ , but also, indirectly, on $μ = {max}_{2 \leq i \leq n} | λ_{i} |$ . The bounds are in terms of the diagonal entries of the group generalized inverse, $Q^{#}$ , of the singular and irreducible M-matrix $Q = λ_{1} I - A$ . Our starting point is a spectral resolution for $Q^{#}$ . We consider the case of equality in some of these inequalities and we apply our results to the algebraic connectivity of undirected...

Brascamp--Lieb inequalities for non-commutative integration.

Carlen, Eric A., Lieb, Elliott H. (2008)

Documenta Mathematica

Brève communication. Localisation de valeurs propres, régions de Gudkov

Michèle Chambat (1971)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Brève communication. Matrices tridiagonales symétriques et matrices factorisables

J. Baranger, M. Duc-Jacquet (1971)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Brève communication. Sur la séparation des valeurs propres d'une matrice positive

J. F. Maitre (1970)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Brève communication. Une nouvelle caractérisation des $M$ matrices

Luc Tartar (1971)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Brèves communications. Un corollaire du théorème de Perron-Frobenius

Christiane Odiard (1971)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Brèves communications. Une classe de matrices tri-diagonales-tests

G. Collombat (1972)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Currently displaying 41 – 48 of 48

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