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- Susana Furtado, M. RYCHNOVSKY
- 2014

M. I. BUENOâˆ—, F. M. DOPICO â€ , S. FURTADO â€¡, AND M. RYCHNOVSKY Â§ Abstract. Given a matrix polynomial P (Î») = Pk i=0 Î» Ai of degree k, where Ai are n Ã— n matrices with entries in a field F, theâ€¦ (More)

- M. I. Bueno, Susana Furtado, N. Sherer
- 2009

It is well-known that the maximum exponent that an n-by-n boolean primitive circulant matrix can attain is nâˆ’ 1. In this paper, we find the maximum exponent that n-by-n boolean primitive circulantâ€¦ (More)

- M. I. BUENO, Susana Furtado
- 2012

Many applications give rise to structured, in particular T-palindromic, matrix polynomials. In order to solve a polynomial eigenvalue problem P (Î»)x = 0, where P (Î») is a T-palindromic matrixâ€¦ (More)

- MarÃa Isabel Bueno Cachadina, FroilÃ¡n M. Dopico, Susana Furtado
- SIAM J. Matrix Analysis Applications
- 2017

The development of strong linearizations preserving whatever structure a matrix polynomial might possess has been a very active area of research in the last years, since such linearizations are theâ€¦ (More)

- M. I. BUENO, K. CURLETT, Susana Furtado
- 2013

In many applications, the polynomial eigenvalue problem, P (Î»)x = 0, arises with P (Î») being a structured matrix polynomial (for example, palindromic, symmetric, skew-symmetric). In order to solve aâ€¦ (More)

- M. I. BUENO, Susana Furtado
- 2014

In this paper we give strong linearizations of a matrix polynomial P (Î») preserving the skew-symmetry or T-alternating structure of P (Î»). The linearizations obtained are of the form SL(Î»), whereâ€¦ (More)

- M. I. BUENO, Susana Furtado
- 2007

Let Pnr be the set of n-by-n r-regular primitive (0, 1)-matrices. In this paper, an explicit formula is found in terms of n and r for the minimum exponent achieved by matrices in Pnr. Moreover,â€¦ (More)

- M. I. BUENO, Joseph R. Breen, Stephanie Ford, Susana Furtado
- 2017

The computation of eigenvalues and eigenvectors of matrix polynomials is an important, but di cult, problem. The standard approach to solve this problem is to use linearizations, which are matrixâ€¦ (More)

- Susana Furtado, Laura IglÃ©sias, Fernando C. Silva
- SIAM J. Matrix Analysis Applications
- 2002

Let A be a matrix with entries in the field of real numbers. In this paper we give necessary and sufficient conditions for the existence of real matrices B and C, with prescribed characteristicâ€¦ (More)

- M. I. BUENO, Susana Furtado, Charles R. Johnson
- 2007

Two Hermitian matrices A, B âˆˆ Mn(C) are said to be Hermitian-congruent if there exists a nonsingular Hermitian matrix C âˆˆ Mn(C) such that B = CAC. In this paper, we give necessary and sufficientâ€¦ (More)