5 citations · 8 across the 5 of their papers we have counts for
5 papers
A note on banded linear systems
D. Barrios Rolanía, J. C. García-Ardila
In [2] a new factorization for infinite Hessenberg banded matrices was introduced. In this note we prove that this kind of factorization can also be used for finite matrices. In ad…
On the Darboux transformations and sequences of -orthogonal polynomials
D. Barrios Rolanía, J. C. García-Ardila, D. Manrique
For a fixed , sequences of polynomials , , defined by a -term recurrence relation are related to several topics in Approximation…
Darboux tranformation and solutions of some integrable systems
Dolores Barrios Rolania
The relation between the Darboux transformation and the solutions of the full Kostant Toda lattice is analyzed. The discrete Korteweg de Vries equation is used to obtain such solut…
On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
D. Barrios Rolanía A. Branquinho A. Foulquié Moreno
The correspondence between a high-order non symmetric difference operator with complex coefficients and the evolution of an operator defined by a Lax pair is established. The solut…
On the relation between the complex Toda and Volterra lattices
Dolores Barrios Rolanía, Rafael Hernández Heredero
We give an analytic, sufficient condition for the existence of the Backlund transformation between the semiinfinite Toda and Volterra lattices, in the complex case, extending previ…