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Displaying 1 – 9 of 9

Binary Moore-Penrose inverses of set inclusion incidence matrices.

Krämer, Helmut (2001)

Séminaire Lotharingien de Combinatoire [electronic only]

Block diagonalization

Jaromír J. Koliha (2001)

Mathematica Bohemica

We study block diagonalization of matrices induced by resolutions of the unit matrix into the sum of idempotent matrices. We show that the block diagonal matrices have disjoint spectra if and only if each idempotent matrix in the inducing resolution double commutes with the given matrix. Applications include a new characterization of an eigenprojection and of the Drazin inverse of a given matrix.

Block representations of the Drazin inverse of a bipartite matrix.

Catral, Minerva, Olesky, Dale D., van den Driessche, Pauline (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Block-Iterative Methods for Consistent and Inconsistent Linear Equations.

T. Elfving (1980)

Numerische Mathematik

Boosting the inverse interpolation problem by a sum of decaying exponentials using an algebraic approach.

Paluszny, Marco, Martín-Landrove, Miguel, Figueroa, Giovanni, Torres, Wuilian (2008)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Boundary value problems and controllability of linear systems with right invertible operators [Book]

Nguyen Van Mau (1992)

Bounds for the inverses of diagonally dominant pentadiagonal matrices.

Huang, Zhuohong, Liu, Jianzhou (2010)

Applied Mathematics E-Notes [electronic only]

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...

Brève communication. Une nouvelle caractérisation des $M$ matrices

Luc Tartar (1971)

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

Displaying 1 – 9 of 9

Boundary value problems and controllability of linear systems with right invertible operators [Book]

Currently displaying 1 – 9 of 9