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Publications Influence

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

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

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

Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic

- María Isabel Bueno Cachadina, F. Dopico, S. Furtado
- Computer Science, Mathematics
- SIAM J. Matrix Anal. Appl.
- 24 August 2015

TLDR

11 1- PDF

Spectral variation under congruence

- S. Furtado, C. Johnson
- Mathematics
- 1 December 2001

In this paper we study the possible spectra among matrices congruent to a given AεMn (C). It is important to distinguish singular A from nonsingular and, among non-singular matrices, to distinguish… Expand

12 1

Structured distance to normality of tridiagonal matrices

- N. Bebiano, S. Furtado
- Mathematics
- 1 September 2018

Abstract In this article we study the distance d , measured in the Frobenius norm, of a tridiagonal matrix T to the set I T of similarly structured irreducible normal matrices. The matrices in the… Expand

6

A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error

- M. Bueno, F. Dopico, S. Furtado, L. Medina
- Mathematics
- 25 July 2018

The standard way of solving numerically a polynomial eigenvalue problem (PEP) is to use a linearization and solve the corresponding generalized eigenvalue problem (GEP). In addition, if the PEP… Expand

9- PDF

Minimal matrices in the Bruhat order for symmetric (0,1)-matrices

- H. Cruz, Rosário Fernandes, S. Furtado
- Mathematics
- 1 October 2017

Abstract In this paper we study the minimal matrices for the Bruhat order on the class of symmetric ( 0 , 1 ) -matrices with given row sum vector. We will show that, when restricted to the symmetric… Expand

5

On the Bruhat order of labeled graphs

- R. Brualdi, Rosário Fernandes, S. Furtado
- Mathematics, Computer Science
- Discret. Appl. Math.
- 15 April 2019

TLDR

4- PDF

Products of matrices with prescribed spectra and ranks

- S. Furtado, L. Iglésias, F. C. Silva
- Mathematics
- 2002

This paper studies the possibility of writing a given square matrix as the product of two matrices with prescribed spectra and ranks. It extends some previously known results.

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