Now showing items 41-60 of 112

• #### From subkautz digraphs to cyclic kautz digraphs ﻿

(2018-06-01)
Article
Open Access
Kautz digraphs K(d,l) are a well-known family of dense digraphs, widely studied as a good model for interconnection networks. Closely related with these, the cyclic Kautz digraphs CK(d,l) were recently introduced by Böhmová, ...
• #### Generalized selection of complementary matrices in the inclusion principle ﻿

(2000-06)
Article
Open Access
This paper presents a strategy for choosing complementary matrices in the framework of the inclusion principle with state LQ optimal control of LTI systems, it is based on translating the basic restrictions given by the ...
• #### Generic families of generalized linear systems ﻿

(2003)
Article
Open Access
V. I. Arnold constructed smooth generic families of matrices with respect to similarity transformations depending smoothly on the entries of matrices with a small number of parameters. We Solve the same problem for a ...
• #### Geometric structure of single/combined equivalence classes of a controllable pair ﻿

(2011-11)
Article
Open Access
Given a pair of matrices representing a controllable linear system, its equivalence classes by the single or combined action of feedbacks, change of state and input variables, as well as their intersection are studied. ...
• #### Geometric structure of the equivalence classes of a controllable pair ﻿

(2010)
Conference lecture
Open Access
Given a pair of matrices representing a controllable linear system, we study its equivalence classes by the single or combined action of feedbacks and change of state and input variables, as well as their intersections. ...
• #### How are groceries, images, and matrices related? ﻿

(2017-12-29)
Part of book or chapter of book
Open Access
Mathematical Modeling: Methods, Applications and Research reviews recent progress in three different propulsion systems which may offer significant advantages for more efficient, compact and adaptive astronautic vehicles ...
• #### Introducción a la teoría de matrices positivas : aplicaciones ﻿

(Universitat Politècnica de Catalunya / Iniciativa Digital Politècnica, 2013)
Book
Open Access
Este libro trata, de forma comprensiva, de la teoría de matrices positivas y, más generalmente, de la teoría de matrices no negativas. Las matrices cuadradas de este tipo aparecen en una gran variedad de problemas, como ...
• #### Investigating the performance of SPSA in simulation-optimization approaches to transportation problems ﻿

(2018)
Conference report
Open Access
While optimization models play a key role in transportation analysis, the objective function to be optimized, however, cannot always be defined analytically. It is therefore necessary to resort to non-differentiable ...
• #### Investigating the performance of SPSA in simulation-optimization approaches to transportation problems ﻿

(Elsevier, 2018-11)
Article
Open Access
While optimization models play a key role in transportation analysis, the objective function to be optimized, however, cannot be defined analytically. It is therefore necessary to resort to non-differentiable optimization ...
• #### Jacobi matrices and boundary value problems in distance-regular graphs ﻿

(2012-01-25)
External research report
Open Access
In this work we analyze regular boundary value problems on a distance-regular graph associated with SchrÄodinger operators. These problems include the cases in which the boundary has two or one vertices. Moreover, we obtain ...
• #### La aritmética matricial como modelo del entorno cotidiano ﻿

(2018-03-12)
Article
Open Access
This article is a proposition for the teaching / learning of some matrix calculation elements from mathematical modeling. As a matter of fact, some daily situations are established showing how we can create models to ...
• #### Layer structure of De Bruijn and Kautz digraphs: an application to deflection routing ﻿

(2016-10-17)
Article
Open Access
In the main part of this paper we present polynomial expressions for the cardinalities of some sets of interest of the nice distance-layer structure of the well-known De Bruijn and Kautz digraphs. More precisely, given a ...
• #### Look-ahead in the two-sided reduction to compact band forms for symmetric eigenvalue problems and the SVD ﻿

(2019-02-01)
Article
Open Access
We address the reduction to compact band forms, via unitary similaritytransformations, for the solution of symmetric eigenvalue problems and the compu-tation of the singular value decomposition (SVD). Concretely, in the ...
• #### Magic coverings and the Kronecker product ﻿

(2009-12-11)
Article
Open Access
In this paper we study a relationship existing among (super) magic coverings and the well known Kronecker product of matrices. We also introduce the concept of Zn–property for digraphs in order to study this relation ...
• #### Matricial realizations of the solutions of the Carlson problem ﻿

(2001)
Article
Open Access
The Klein theorem asserts the existence of a solution of the Carlson problem when a related Littelewood-Richardson sequence exists. Here we present an explicit construction of these matricial solutions.
• #### Matriz Laplaciana de grafos ponderados con vértices independientes ﻿

Conference report
Open Access
• #### Miniversal deformations of marked matrices ﻿

(2001)
Article
Open Access
Given the set of square matricesM⊂Mn+m(C) that keep the subspace W = Cnx{0} ⊂ Cn+m invariant, we obtain the implicit form of a miniversal deformation of a matrix a∈M, and we compute it explicitely when this matrix is ...
• #### Miniversal deformations of observable marked matrices ﻿

(2014)
Article
Restricted access - publisher's policy
Given the set of vertical pairs of matrices ${\cal M}\subset M_{m,n}(\mathbb C)\times M_n(\mathbb C)$ keeping the subspace $\mathbb C^d\times\{0\}\subset\mathbb C^n$ invariant,we compute miniversal deformations of a given ...
• #### Miniversal deformations of observable marked matrices ﻿

(2012)
External research report
Open Access
Given the set of vertical pairs of matrices M¿ Mm,n(C)×Mn(C) keeping the subspace Cd×{0} ¿ Cn invariant, we compute miniversal deformations of a given pair when it is observable and the subspace Cd × {0} is marked. ...
• #### Modelling in science education and learning ﻿

(2018-07-31)
Article
Open Access
Este artículo es una propuesta para la enseñanza/aprendizaje de algunos elementos de cálculo de matrices a partir del modelado matemático. De hecho, algunas situaciones cotidianas se establecen teniendo también las matrices ...