Browsing by Author "Encinas Bachiller, Andrés Marcos"

A formula for the Kirchhoff index
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (20070930)
Article
Open AccessWe show here that the Kirchhoff index of a network is the average of the Wiener capacities of its vertices. Moreover, we obtain a closedform formula for the effective resistance between any pair of vertices when the ... 
Application of the forces' method in dynamic systems
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (20071011)
Article
Open AccessWe present here some applications of the Forces's method in dynamic systems. In particular, we consider the problem of the approximation of the trajectories of a conservative system of point masses by means of the minimization ... 
Boundary value problems for Schrödinger operators on a path
Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gago Álvarez, Silvia (20120525)
External research report
Open AccessIn this work, we concentrate on determining explicit expressions, via suitable orthogonal polynomials on the line, for the Green function associated with any regular boundary value problem on a weighted path, whose weights ... 
Boundary value problems for Schrödinger operators on a Path Associated to Orthogonal Polynomials
Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gago Álvarez, Silvia (Springer, 2013)
Part of book or chapter of book
Restricted access  publisher's policyIn this work, we concentrate on determining explicit expressions, via suitable orthogonal polynomials on the line, for the Green function associated with any regular boundary value problem on a weighted path, whose weights ... 
Bounded solutions of second order lineal difference equations with periodic coefficients
Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, M. Jose (2016)
Conference report
Open Access 
Bounded solutions of selfadjoint second order linear difference equations with periodic coefficients
Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, M. Jose (20180225)
Article
Open AccessIn this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the ... 
Bounds on the first nonnull eigenvalue for selfadjoint boundary value problems on networks
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (200609)
Article
Open AccessWe aim here at obtaining bounds on the first nonnull eigenvalue for selfadjoint boundary value problems on a weighted network by means of equilibrium measures, that includes the study of Dirichlet, Neumann and Mixed ... 
Cálculo de la inversa de una matriz de Jacobi
Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, M. Jose (Universidad de Cádiz, 2017)
Conference report
Restricted access  publisher's policyEn este trabajo aportamos las condiciones necesarias y suficientes para la invertibilidad de las matrices de Jacobi y calculamos explícitamente su inversa. Las técnicas que utilizamos están relacionadas con la soluciones ... 
Characterization of symmetric Mmatrices as resistive inverses
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (20070125)
Article
Open AccessWe aim here at characterizing those nonnegative matrices whose inverse is an irreducible Stieltjes matrix. Specifically, we prove that any irreducible Stieltjes matrix is a resistive inverse. To do that we consider the ... 
Combinatorial recurrences and linear difference equations
Jiménez Jiménez, M. Jose; Encinas Bachiller, Andrés Marcos (2016)
Conference report
Restricted access  publisher's policyIn this work we introduce the triangular arrays of depth greater than 1 given by linear recurrences, that generalize some wellknown recurrences that appear in enumerative combinatorics. In particular, we focussed on ... 
Combinatorial recurrences and linear difference equations
Jiménez Jiménez, M. Jose; Encinas Bachiller, Andrés Marcos (20161017)
Article
Restricted access  publisher's policyIn this work we introduce the triangular arrays of depth greater than 1 given by linear recurrences, that generalize some well known recurrences that appear in enumerative combinatorics. In particular, we focussed on ... 
Computational cost of the Fekete problem
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (20071011)
Article
Open AccessWe present here strong numerical and statistical evidence of the fact that the Smale's 7th problem can be answered affirmatively. In particular, we show that a local minimum for the logarithmic potential energy in the ... 
Desde un biberón hasta una catedral
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2010)
Conference lecture
Open Access 
DirichlettoRobin maps on finite networks
Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (20150401)
Article
Open AccessOur aim is to characterize those matrices that are the response matrix of a semi positive definite Schrodinger operator on a circular planar network. Our findings generalize the known results and allow us to consider both ... 
DirichlettoRobin matrix on networks
Arauz Lombardia, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2014)
Article
Open AccessIn this work, we de ne the Dirichlet{to{Robin matrix associated with a Schr odinger type matrix on general networks, and we prove that it satis es the alternating property which is essential to characterize those matrices ... 
Discrete inverse problem on grids
Arauz Lombardia, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2016)
Conference report
Open AccessIn this work, we present an algorithm to the recovery of the conductance of a n –dimensional grid. The algorithm is based in the solution of some overdetermined partial boundary value problems defined on the grid; that is, ... 
Discrete Serrin's problem
Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (Elsevier, 20150301)
Article
Open AccessWe consider here the discrete analogue of Serrin's problem: if the equilibrium measure of a network with boundary satisfies that its normal derivative is constant, what can be said about the structure of the network and ... 
Equilibrium measures on finite networks. Effective resistance and hitting time
Carmona Mejías, Ángeles; Bendito Pérez, Enrique; Encinas Bachiller, Andrés Marcos (2001)
Article
Open AccessWe aim here at showing how the equilibrium measures for a finite network can be used to obtain simple expressions for both Green and Poisson kernels and hence we can deduce nice expressions of the hitting time and the ... 
Estimation of Fekete points
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (200505)
Article
Open AccessIn this paper we present a new method to estimate Fekete points on surfaces. Although our method works in a general setting, we concentrate on its application to the unit sphere because it is the prototype problem and ... 
Explicit inverse of a tridiagonal (p,r)Toeplitz matrix
Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, M. Jose (2016)
Conference report
Open Access