EuDML | Browse

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...

Displaying 41 – 48 of 48

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

Brascamp--Lieb inequalities for non-commutative integration.

Brève communication. Localisation de valeurs propres, régions de Gudkov

Brève communication. Matrices tridiagonales symétriques et matrices factorisables

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

Brève communication. Une nouvelle caractérisation des $M$ matrices

Brèves communications. Un corollaire du théorème de Perron-Frobenius

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

Currently displaying 41 – 48 of 48