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Publications Influence

Darboux transformation and perturbation of linear functionals

- M. Bueno, F. Marcellán
- Mathematics
- 1 June 2004

Abstract Let L be a quasi-definite linear functional defined on the linear space of polynomials with real coefficients. In the literature, three canonical transformations of this functional are… Expand

89 6- PDF

Palindromic linearizations of a matrix polynomial of odd degreee obtained from Fiedler pencils with repetition

- M. Bueno, S. Furtado
- Mathematics
- 2012

Many applications give rise to structured, in particular T- palindromic, matrix polynomials. In order to solve a polynomial eigenvalue problem P(�)x = 0, where P(�) is a T-palindromic matrix… Expand

29 4- PDF

Structured strong linearizations from Fiedler pencils with repetition I

- M. Bueno, K. Curlett, S. Furtado
- Mathematics
- 1 November 2014

Abstract In many applications, the polynomial eigenvalue problem, P ( λ ) x = 0 , arises with P ( λ ) being a structured matrix polynomial (for example, palindromic, symmetric, skew-symmetric). In… Expand

28 3

Large vector spaces of block-symmetric strong linearizations of matrix polynomials

- M. Bueno, F. Dopico, S. Furtado, M. Rychnovsky
- Mathematics
- 15 July 2015

Abstract Given a matrix polynomial P ( λ ) = ∑ i = 0 k λ i A i of degree k , where A i are n × n matrices with entries in a field F , the development of linearizations of P ( λ ) that preserve… Expand

29 3- PDF

A more accurate algorithm for computing the Christoffel transformation

A monic Jacobi matrix is a tridiagonal matrix which contains the parameters of the three-term recurrence relation satisfied by the sequence of monic polynomials orthogonal with respect to a measure.… Expand

10 2- PDF

A simplified approach to Fiedler-like pencils via block minimal bases pencils

- M. Bueno, F. Dopico, J. Perez, R. Saavedra, B. Zykoski
- Mathematics
- 15 June 2018

Abstract The standard way of solving the polynomial eigenvalue problem associated with a matrix polynomial is to embed the matrix coefficients of the polynomial into a matrix pencil, transforming the… Expand

12 2- PDF

Polynomial perturbations of bilinear functionals and Hessenberg matrices

- M. Bueno, F. Marcellán
- Mathematics
- 1 April 2006

This paper deals with symmetric and non-symmetric polynomial perturbations of symmetric quasi-definite bilinear functionals. We establish a relation between the Hessenberg matrices associated with… Expand

28 1- PDF

Eigenvectors and minimal bases for some families of Fiedler-like linearizations

- M. Bueno, Fernando De Terán
- Mathematics
- 2 January 2014

In this paper, we obtain formulas for the left and right eigenvectors and minimal bases of some families of Fiedler-like linearizations of square matrix polynomials. In particular, for the families… Expand

21 1- PDF

Structured strong linearizations from Fiedler pencils with repetition II

- M. Bueno, S. Furtado
- Mathematics
- 15 December 2014

Abstract In this paper we give strong linearizations of a matrix polynomial P ( λ ) preserving the skew-symmetry or T-alternating structure of P ( λ ) . The linearizations obtained are of the form S… Expand

18 1- PDF

CONTINUOUS SYMMETRIC SOBOLEV INNER PRODUCTS

- M. Bueno, F. Marcellán
- 2003

In this paper we consider the sequence of monic polynomials (Qn) orthogonal with respect to a symmetric Sobolev inner product. If Q2n(x) = Pn(x) and Q2n+1(x) = xRn(x), then we deduce the integral… Expand

4 1- PDF

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