Froilán M. Dopico

Orcid: 0000-0001-7779-8960

According to our database1, Froilán M. Dopico authored at least 48 papers between 2003 and 2024.

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Bibliography

2024
Generic Eigenstructures of Hermitian Pencils.
SIAM J. Matrix Anal. Appl., March, 2024

Para-Hermitian rational matrices.
CoRR, 2024

On bundle closures of matrix pencils and matrix polynomials.
CoRR, 2024

2023
Even grade generic skew-symmetric matrix polynomials with bounded rank.
CoRR, 2023

Minimal rank factorizations of polynomial matrices.
CoRR, 2023

A Riemannian optimization method to compute the nearest singular pencil.
CoRR, 2023

2022
Strongly Minimal Self-Conjugate Linearizations for Polynomial and Rational Matrices.
SIAM J. Matrix Anal. Appl., September, 2022

Diagonal Scalings for the Eigenstructure of Arbitrary Pencils.
SIAM J. Matrix Anal. Appl., 2022

The DL(P) vector space of pencils for singular matrix polynomials.
CoRR, 2022

Linearizations of matrix polynomials viewed as Rosenbrock's system matrices.
CoRR, 2022

2021
Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations.
CoRR, 2021

2020
Generic Symmetric Matrix Polynomials with Bounded Rank and Fixed Odd Grade.
SIAM J. Matrix Anal. Appl., 2020

Special volume on mathematical modeling with applications.
Numer. Algorithms, 2020

Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations.
Math. Comput., 2020

Block Full Rank Linearizations of Rational Matrices.
CoRR, 2020

2019
Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data.
SIAM J. Matrix Anal. Appl., 2019

A compact rational Krylov method for large-scale rational eigenvalue problems.
Numer. Linear Algebra Appl., 2019

Structured backward error analysis of linearized structured polynomial eigenvalue problems.
Math. Comput., 2019

On minimal bases and indices of rational matrices and their linearizations.
CoRR, 2019

Local Linearizations of Rational Matrices with Application to Rational Approximations of Nonlinear Eigenvalue Problems.
CoRR, 2019

2018
Strong Linearizations of Rational Matrices.
SIAM J. Matrix Anal. Appl., 2018

Block Kronecker linearizations of matrix polynomials and their backward errors.
Numerische Mathematik, 2018

2017
Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic.
SIAM J. Matrix Anal. Appl., 2017

2016
Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations.
SIAM J. Matrix Anal. Appl., 2016

The Inverse Eigenvector Problem for Real Tridiagonal Matrices.
SIAM J. Matrix Anal. Appl., 2016

Structured eigenvalue condition numbers for parameterized quasiseparable matrices.
Numerische Mathematik, 2016

Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices.
Numer. Algorithms, 2016

Projection methods for large-scale T-Sylvester equations.
Math. Comput., 2016

2015
Matrix Polynomials with Completely Prescribed Eigenstructure.
SIAM J. Matrix Anal. Appl., 2015

2014
Relative Perturbation Theory for Diagonally Dominant Matrices.
SIAM J. Matrix Anal. Appl., 2014

A New Perturbation Bound for the LDU Factorization of Diagonally Dominant Matrices.
SIAM J. Matrix Anal. Appl., 2014

2013
Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions.
SIAM J. Matrix Anal. Appl., 2013

Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices.
Math. Comput., 2013

2012
Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix.
Numerische Mathematik, 2012

2011
Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations.
SIAM J. Matrix Anal. Appl., 2011

Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices.
Numerische Mathematik, 2011

Palindromic companion forms for matrix polynomials of odd degree.
J. Comput. Appl. Math., 2011

2010
Fiedler Companion Linearizations and the Recovery of Minimal Indices.
SIAM J. Matrix Anal. Appl., 2010

2009
Parametrization of the Matrix Symplectic Group and Applications.
SIAM J. Matrix Anal. Appl., 2009

Implicit standard Jacobi gives high relative accuracy.
Numerische Mathematik, 2009

2008
Low Rank Perturbation of Weierstrass Structure.
SIAM J. Matrix Anal. Appl., 2008

A Note on Generic Kronecker Orbits of Matrix Pencils with Fixed Rank.
SIAM J. Matrix Anal. Appl., 2008

2007
Low Rank Perturbation of Kronecker Structures without Full Rank.
SIAM J. Matrix Anal. Appl., 2007

2006
Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices.
SIAM J. Matrix Anal. Appl., 2006

2005
Perturbation Theory for Factorizations of LU Type through Series Expansions.
SIAM J. Matrix Anal. Appl., 2005

2004
A Note on Multiplicative Backward Errors of Accurate SVD Algorithms.
SIAM J. Matrix Anal. Appl., 2004

2003
Low Rank Perturbation of Jordan Structure.
SIAM J. Matrix Anal. Appl., 2003

An Orthogonal High Relative Accuracy Algorithm for the Symmetric Eigenproblem.
SIAM J. Matrix Anal. Appl., 2003


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