Froilán M. Dopico

According to our database, Froilán M. Dopico authored at least 47 papers between 2003 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Generic Eigenstructures of Hermitian Pencils.

Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico

SIAM J. Matrix Anal. Appl., March, 2024

On bundle closures of matrix pencils and matrix polynomials.

Fernando de Terán, Froilán M. Dopico, Vadym Koval, Patryk Pagacz

CoRR, 2024

2023

Even grade generic skew-symmetric matrix polynomials with bounded rank.

Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico

CoRR, 2023

Minimal rank factorizations of polynomial matrices.

Andrii Dmytryshyn, Froilán M. Dopico, Paul Van Dooren

CoRR, 2023

A Riemannian optimization method to compute the nearest singular pencil.

Froilán M. Dopico, Vanni Noferini, Lauri Nyman

CoRR, 2023

2022

Strongly Minimal Self-Conjugate Linearizations for Polynomial and Rational Matrices.

Froilán M. Dopico, María C. Quintana, Paul Van Dooren

SIAM J. Matrix Anal. Appl., September, 2022

Diagonal Scalings for the Eigenstructure of Arbitrary Pencils.

Froilán M. Dopico, María C. Quintana, Paul Van Dooren

SIAM J. Matrix Anal. Appl., 2022

The DL(P) vector space of pencils for singular matrix polynomials.

Froilán M. Dopico, Vanni Noferini

CoRR, 2022

Linearizations of matrix polynomials viewed as Rosenbrock's system matrices.

Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren

CoRR, 2022

2021

Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations.

Froilán M. Dopico, María C. Quintana, Paul Van Dooren

CoRR, 2021

2020

Generic Symmetric Matrix Polynomials with Bounded Rank and Fixed Odd Grade.

Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico

SIAM J. Matrix Anal. Appl., 2020

Special volume on mathematical modeling with applications.

Froilán M. Dopico, Khalide Jbilou, Mohammed Seaïd

Numer. Algorithms, 2020

Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations.

Luis Miguel Anguas, María Isabel Bueno Cachadina, Froilán M. Dopico

Math. Comput., 2020

Block Full Rank Linearizations of Rational Matrices.

Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren

CoRR, 2020

2019

Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data.

Luis Miguel Anguas, Froilán M. Dopico, Richard Hollister, D. Steven Mackey

SIAM J. Matrix Anal. Appl., 2019

A compact rational Krylov method for large-scale rational eigenvalue problems.

Froilán M. Dopico, Javier González-Pizarro

Numer. Linear Algebra Appl., 2019

Structured backward error analysis of linearized structured polynomial eigenvalue problems.

Froilán M. Dopico, Javier Pérez, Paul Van Dooren

Math. Comput., 2019

On minimal bases and indices of rational matrices and their linearizations.

Agurtzane Amparan, Froilán M. Dopico, Silvia Marcaida, Ion Zaballa

CoRR, 2019

Local Linearizations of Rational Matrices with Application to Rational Approximations of Nonlinear Eigenvalue Problems.

Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren

CoRR, 2019

2018

Strong Linearizations of Rational Matrices.

Agurtzane Amparan, Froilán M. Dopico, Silvia Marcaida, Ion Zaballa

SIAM J. Matrix Anal. Appl., 2018

Block Kronecker linearizations of matrix polynomials and their backward errors.

Froilán M. Dopico, Piers W. Lawrence, Javier Pérez, Paul Van Dooren

Numerische Mathematik, 2018

2017

Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic.

María Isabel Bueno Cachadina, Froilán M. Dopico, Susana Furtado

SIAM J. Matrix Anal. Appl., 2017

2016

Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations.

Fernando de Terán, Froilán M. Dopico

SIAM J. Matrix Anal. Appl., 2016

The Inverse Eigenvector Problem for Real Tridiagonal Matrices.

Beresford N. Parlett, Froilán M. Dopico, Carla Ferreira

SIAM J. Matrix Anal. Appl., 2016

Structured eigenvalue condition numbers for parameterized quasiseparable matrices.

Froilán M. Dopico, Kenet Pomés

Numerische Mathematik, 2016

Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices.

Froilán M. Dopico, Kenet Pomés

Numer. Algorithms, 2016

Projection methods for large-scale T-Sylvester equations.

Froilán M. Dopico, Javier González, Daniel Kressner, Valeria Simoncini

Math. Comput., 2016

2015

Matrix Polynomials with Completely Prescribed Eigenstructure.

Fernando de Terán, Froilán M. Dopico, Paul Van Dooren

SIAM J. Matrix Anal. Appl., 2015

2014

Relative Perturbation Theory for Diagonally Dominant Matrices.

Megan Dailey, Froilán M. Dopico, Qiang Ye

SIAM J. Matrix Anal. Appl., 2014

A New Perturbation Bound for the LDU Factorization of Diagonally Dominant Matrices.

Megan Dailey, Froilán M. Dopico, Qiang Ye

SIAM J. Matrix Anal. Appl., 2014

2013

Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions.

Nieves Castro-González, Johan Ceballos, Froilán M. Dopico, Juan M. Molera

SIAM J. Matrix Anal. Appl., 2013

Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices.

Froilán M. Dopico, Vadim Olshevsky, Pavel Zhlobich

Math. Comput., 2013

2012

Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix.

Carla Ferreira, Beresford N. Parlett, Froilán M. Dopico

Numerische Mathematik, 2012

2011

Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations.

María Isabel Bueno Cachadina, Fernando de Terán, Froilán M. Dopico

SIAM J. Matrix Anal. Appl., 2011

Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices.

Froilán M. Dopico, Plamen Koev

Numerische Mathematik, 2011

Palindromic companion forms for matrix polynomials of odd degree.

Fernando de Terán, Froilán M. Dopico, D. Steven Mackey

J. Comput. Appl. Math., 2011

2010

Fiedler Companion Linearizations and the Recovery of Minimal Indices.

Fernando de Terán, Froilán M. Dopico, D. Steven Mackey

SIAM J. Matrix Anal. Appl., 2010

2009

Parametrization of the Matrix Symplectic Group and Applications.

Froilán M. Dopico, Charles R. Johnson

SIAM J. Matrix Anal. Appl., 2009

Implicit standard Jacobi gives high relative accuracy.

Froilán M. Dopico, Plamen Koev, Juan M. Molera

Numerische Mathematik, 2009

2008

Low Rank Perturbation of Weierstrass Structure.

Fernando de Terán, Froilán M. Dopico, Julio Moro

SIAM J. Matrix Anal. Appl., 2008

A Note on Generic Kronecker Orbits of Matrix Pencils with Fixed Rank.

Fernando de Terán, Froilán M. Dopico

SIAM J. Matrix Anal. Appl., 2008

2007

Low Rank Perturbation of Kronecker Structures without Full Rank.

Fernando de Terán, Froilán M. Dopico

SIAM J. Matrix Anal. Appl., 2007

2006

Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices.

Froilán M. Dopico, Plamen Koev

SIAM J. Matrix Anal. Appl., 2006

2005

Perturbation Theory for Factorizations of LU Type through Series Expansions.

Froilán M. Dopico, Juan M. Molera

SIAM J. Matrix Anal. Appl., 2005

2004

A Note on Multiplicative Backward Errors of Accurate SVD Algorithms.

Froilán M. Dopico, Julio Moro

SIAM J. Matrix Anal. Appl., 2004

2003

Low Rank Perturbation of Jordan Structure.

Julio Moro, Froilán M. Dopico

SIAM J. Matrix Anal. Appl., 2003

An Orthogonal High Relative Accuracy Algorithm for the Symmetric Eigenproblem.

Froilán M. Dopico, Juan M. Molera, Julio Moro

SIAM J. Matrix Anal. Appl., 2003