Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Fiedler Companion Linearizations and the Recovery of Minimal Indices

- F. Terán, F. Dopico, D. S. Mackey
- Computer Science, Mathematics
- SIAM J. Matrix Anal. Appl.
- 2010

TLDR

92 13- PDF

Spectral equivalence of matrix polynomials and the index sum theorem

- F. Terán, F. Dopico, D. S. Mackey
- Mathematics
- 15 October 2014

Abstract The concept of linearization is fundamental for theory, applications, and spectral computations related to matrix polynomials. However, recent research on several important classes of… Expand

83 13- PDF

Block Kronecker linearizations of matrix polynomials and their backward errors

- F. Dopico, P. Lawrence, J. Pérez, P. Dooren
- Mathematics, Computer Science
- Numerische Mathematik
- 16 July 2017

TLDR

61 9- PDF

Implicit standard Jacobi gives high relative accuracy

- F. Dopico, P. Koev, J. M. Molera
- Mathematics, Computer Science
- Numerische Mathematik
- 29 September 2009

TLDR

26 4

Low Rank Perturbation of Jordan Structure

TLDR

56 4- PDF

Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices

- F. Dopico, J. Moro, J. M. Molera
- Mathematics
- 15 April 2000

We present a Weyl-type relative bound for eigenvalues of Hermitian perturbations A+E of (not necessarily definite) Hermitian matrices A. This bound, given in function of the quantity… Expand

19 4- PDF

Complementary bases in symplectic matrices and a proof that their determinant is one

- F. Dopico, C. Johnson
- Mathematics
- 1 December 2006

New results on the patterns of linearly independent rows and columns among the blocks of a symplectic matrix are presented. These results are combined with the block structure of the inverse of a… Expand

37 3- PDF

Accurate solution of structured linear systems via rank-revealing decompositions

- F. Dopico, J. M. Molera
- Mathematics
- 1 July 2012

Linear systems of equations Ax = b, where the matrix A has some particular structure, arise frequently in applications. Very often structured matrices have huge condition numbers κ(A) = ‖A−1‖‖A‖ and,… Expand

25 3- PDF

Matrix Polynomials with Completely Prescribed Eigenstructure

TLDR

37 3- 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