1 citations · 1 across the 5 of their papers we have counts for
6 papers
Finite-term recurrences in a generalized Bochner--Krall family
L. M. Anguas, D. Barrios Rolanía, B. Shapiro +1
We classify the differential operators \(T=z^j\partial_z^j+z^m\partial_z^\ell\), where \(0\le m<\ell\) and \(1\le j<\ell\), whose monic eigenpolynomials satisfy a finite-term recur…
New tools for the study of Bochner differential operators
L. M. Anguas, D. Barrios Rolanía
A sequence associated to a Bochner differential operator is introduced as an effective tool to study this kind of operators. Some properties of this sequence are pr…
On polynomial solutions of certain finite order ordinary differential equations
L. M. Anguas, D. Barrios Rolanía
Some properties and relations satisfied by the polynomial solutions of a bispectral problem are studied. Given a finite order differential operator, under certain restrictions, its…
Quasi-Triangularization of Matrix Polynomials over Arbitrary Fields
Luis M. Anguas, Froilán M. Dopico, Richard Hollister +1
In [19], Taslaman, Tisseur, and Zaballa show that any regular matrix polynomial over an algebraically closed field is spectrally equivalent to a triangular matrix polynomial…
Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations
Luis Miguel Anguas, María Isabel Bueno, Froilán M. Dopico
Möbius transformations have been used in numerical algorithms for computing eigenvalues and invariant subspaces of structured generalized and polynomial eigenvalue problems (PEPs).…
A comparison of eigenvalue condition numbers for matrix polynomials
Luis Miguel Anguas, María Isabel Bueno, Froilán M. Dopico
In this paper, we consider the different eigenvalue condition numbers for matrix polynomials used in the literature and we compare them. One of these condition numbers is a general…