Froilán M. Dopico

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 33

Top Topics

Eigenvalue Problems

Condition Numbers

Top Venues

SIAM J. Matrix Anal. Appl.

Numerische Mathematik

Publications

Fernando de Terán, Froilán M. Dopico, Vadym Koval, Patryk Pagacz
On bundle closures of matrix pencils and matrix polynomials. CoRR (2024)
Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
Generic Eigenstructures of Hermitian Pencils. SIAM J. Matrix Anal. Appl. 45 (1) (2024)
Froilán M. Dopico, Vanni Noferini, María C. Quintana, Paul Van Dooren
Para-Hermitian rational matrices. CoRR (2024)
Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
Even grade generic skew-symmetric matrix polynomials with bounded rank. CoRR (2023)
Andrii Dmytryshyn, Froilán M. Dopico, Paul Van Dooren
Minimal rank factorizations of polynomial matrices. CoRR (2023)
Froilán M. Dopico, Vanni Noferini, Lauri Nyman
A Riemannian optimization method to compute the nearest singular pencil. CoRR (2023)
Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren
Linearizations of matrix polynomials viewed as Rosenbrock's system matrices. CoRR (2022)
Froilán M. Dopico, María C. Quintana, Paul Van Dooren
Strongly Minimal Self-Conjugate Linearizations for Polynomial and Rational Matrices. SIAM J. Matrix Anal. Appl. 43 (3) (2022)
Froilán M. Dopico, Vanni Noferini
The DL(P) vector space of pencils for singular matrix polynomials. CoRR (2022)
Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
Generic eigenstructures of Hermitian pencils. CoRR (2022)
Froilán M. Dopico, María C. Quintana, Paul Van Dooren
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils. SIAM J. Matrix Anal. Appl. 43 (3) (2022)
Froilán M. Dopico, María C. Quintana, Paul Van Dooren
Strongly minimal self-conjugate linearizations for polynomial and rational matrices. CoRR (2021)
Froilán M. Dopico, María C. Quintana, Paul Van Dooren
Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. CoRR (2021)
Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
Generic Symmetric Matrix Polynomials with Bounded Rank and Fixed Odd Grade. SIAM J. Matrix Anal. Appl. 41 (3) (2020)
Froilán M. Dopico, Khalide Jbilou, Mohammed Seaïd
Special volume on mathematical modeling with applications. Numer. Algorithms 84 (4) (2020)
Froilán M. Dopico, María C. Quintana, Paul Van Dooren
Diagonal scalings for the eigenstructure of arbitrary pencils. CoRR (2020)
Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren
Block Full Rank Linearizations of Rational Matrices. CoRR (2020)
Luis Miguel Anguas, María Isabel Bueno Cachadina, Froilán M. Dopico
Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations. Math. Comput. 89 (322) (2020)
Agurtzane Amparan, Froilán M. Dopico, Silvia Marcaida, Ion Zaballa
On minimal bases and indices of rational matrices and their linearizations. CoRR (2019)
Luis Miguel Anguas, Froilán M. Dopico, Richard Hollister, D. Steven Mackey
Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data. SIAM J. Matrix Anal. Appl. 40 (2) (2019)
Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren
Local Linearizations of Rational Matrices with Application to Rational Approximations of Nonlinear Eigenvalue Problems. CoRR (2019)
Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
Generic symmetric matrix polynomials with bounded rank and fixed odd grade. CoRR (2019)
Froilán M. Dopico, Javier Pérez, Paul Van Dooren
Structured backward error analysis of linearized structured polynomial eigenvalue problems. Math. Comput. 88 (317) (2019)
Froilán M. Dopico, Javier González-Pizarro
A compact rational Krylov method for large-scale rational eigenvalue problems. Numer. Linear Algebra Appl. 26 (1) (2019)
Agurtzane Amparan, Froilán M. Dopico, Silvia Marcaida, Ion Zaballa
Strong Linearizations of Rational Matrices. SIAM J. Matrix Anal. Appl. 39 (4) (2018)
Froilán M. Dopico, Piers W. Lawrence, Javier Pérez, Paul Van Dooren
Block Kronecker linearizations of matrix polynomials and their backward errors. Numerische Mathematik 140 (2) (2018)
María Isabel Bueno Cachadina, Froilán M. Dopico, Susana Furtado
Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic. SIAM J. Matrix Anal. Appl. 38 (1) (2017)
Froilán M. Dopico, Kenet Pomés
Structured eigenvalue condition numbers for parameterized quasiseparable matrices. Numerische Mathematik 134 (3) (2016)
Froilán M. Dopico, Javier González, Daniel Kressner, Valeria Simoncini
Projection methods for large-scale T-Sylvester equations. Math. Comput. 85 (301) (2016)
Fernando de Terán, Froilán M. Dopico
Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations. SIAM J. Matrix Anal. Appl. 37 (3) (2016)
Froilán M. Dopico, Kenet Pomés
Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. Numer. Algorithms 73 (4) (2016)
Beresford N. Parlett, Froilán M. Dopico, Carla Ferreira
The Inverse Eigenvector Problem for Real Tridiagonal Matrices. SIAM J. Matrix Anal. Appl. 37 (2) (2016)
Fernando de Terán, Froilán M. Dopico, Paul Van Dooren
Matrix Polynomials with Completely Prescribed Eigenstructure. SIAM J. Matrix Anal. Appl. 36 (1) (2015)
Megan Dailey, Froilán M. Dopico, Qiang Ye
A New Perturbation Bound for the LDU Factorization of Diagonally Dominant Matrices. SIAM J. Matrix Anal. Appl. 35 (3) (2014)
Megan Dailey, Froilán M. Dopico, Qiang Ye
Relative Perturbation Theory for Diagonally Dominant Matrices. SIAM J. Matrix Anal. Appl. 35 (4) (2014)
Froilán M. Dopico, Vadim Olshevsky, Pavel Zhlobich
Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. Math. Comput. 82 (284) (2013)
Nieves Castro-González, Johan Ceballos, Froilán M. Dopico, Juan M. Molera
Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions. SIAM J. Matrix Anal. Appl. 34 (3) (2013)
Carla Ferreira, Beresford N. Parlett, Froilán M. Dopico
Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Numerische Mathematik 122 (3) (2012)
María Isabel Bueno Cachadina, Fernando de Terán, Froilán M. Dopico
Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations. SIAM J. Matrix Anal. Appl. 32 (2) (2011)
Froilán M. Dopico, Plamen Koev
Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. Numerische Mathematik 119 (2) (2011)
Fernando de Terán, Froilán M. Dopico, D. Steven Mackey
Palindromic companion forms for matrix polynomials of odd degree. J. Comput. Appl. Math. 236 (6) (2011)
Fernando de Terán, Froilán M. Dopico, D. Steven Mackey
Fiedler Companion Linearizations and the Recovery of Minimal Indices. SIAM J. Matrix Anal. Appl. 31 (4) (2010)
Froilán M. Dopico, Charles R. Johnson
Parametrization of the Matrix Symplectic Group and Applications. SIAM J. Matrix Anal. Appl. 31 (2) (2009)
Froilán M. Dopico, Plamen Koev, Juan M. Molera
Implicit standard Jacobi gives high relative accuracy. Numerische Mathematik 113 (4) (2009)
Fernando de Terán, Froilán M. Dopico
A Note on Generic Kronecker Orbits of Matrix Pencils with Fixed Rank. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Fernando de Terán, Froilán M. Dopico, Julio Moro
Low Rank Perturbation of Weierstrass Structure. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Fernando de Terán, Froilán M. Dopico
Low Rank Perturbation of Kronecker Structures without Full Rank. SIAM J. Matrix Anal. Appl. 29 (2) (2007)
Froilán M. Dopico, Plamen Koev
Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices. SIAM J. Matrix Anal. Appl. 28 (4) (2006)
Froilán M. Dopico, Juan M. Molera
Perturbation Theory for Factorizations of LU Type through Series Expansions. SIAM J. Matrix Anal. Appl. 27 (2) (2005)
Froilán M. Dopico, Julio Moro
A Note on Multiplicative Backward Errors of Accurate SVD Algorithms. SIAM J. Matrix Anal. Appl. 25 (4) (2004)
Froilán M. Dopico, Juan M. Molera, Julio Moro
An Orthogonal High Relative Accuracy Algorithm for the Symmetric Eigenproblem. SIAM J. Matrix Anal. Appl. 25 (2) (2003)
Julio Moro, Froilán M. Dopico
Low Rank Perturbation of Jordan Structure. SIAM J. Matrix Anal. Appl. 25 (2) (2003)