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

Publications Influence

Share This Author

Fiedler Companion Linearizations and the Recovery of Minimal Indices

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

TLDR

95 12- PDF

Spectral equivalence of matrix polynomials and the index sum theorem

- F. Terán, F. M. 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

87 11- PDF

Block Kronecker linearizations of matrix polynomials and their backward errors

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

TLDR

64 9- PDF

LINEARIZATIONS OF SINGULAR MATRIX POLYNOMIALS AND THE RECOVERY OF MINIMAL INDICES

- F. Terán, F. M. Dopico, D. S. Mackey
- Mathematics
- 26 March 2009

A standard way of dealing with a regular matrix polynomial P (λ) is to convert it into an equivalent matrix pencil - a process known as linearization. Two vector spaces of pencils L1(P ) and L2(P )… Expand

66 5- PDF

Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices

- F. M. 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 5- PDF

Implicit standard Jacobi gives high relative accuracy

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

TLDR

26 4

Low Rank Perturbation of Jordan Structure

- J. Moro, F. M. Dopico
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 February 2003

TLDR

58 4

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

- F. M. 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. M. 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

- F. Terán, F. M. Dopico, P. Dooren
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 24 March 2015

TLDR

39 3- PDF

...

1

2

3

4

5

...