Froilán M. Dopico

56 papers Journal 56

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Distance to nearest skew-symmetric matrix polynomials of bounded rank. CoRR Andrii Dmytryshyn, Froilán M. Dopico, Rakel Hellberg
2026	J	`jnl`	On the dimension of orbits of matrix pencils under strict equivalence. Appl. Math. Lett. Fernando de Terán, Froilán M. Dopico, Patryk Pagacz
2024	J	`jnl`	A Riemannian Optimization Method to Compute the Nearest Singular Pencil. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, Vanni Noferini, Lauri Nyman
2024	J	`jnl`	Generic Eigenstructures of Hermitian Pencils. SIAM J. Matrix Anal. Appl. Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
2024	J	`jnl`	On bundle closures of matrix pencils and matrix polynomials. CoRR Fernando de Terán, Froilán M. Dopico, Vadym Koval, Patryk Pagacz
2024	J	`jnl`	Para-Hermitian Rational Matrices. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, Vanni Noferini, María C. Quintana, Paul Van Dooren
2024	J	`jnl`	Para-Hermitian rational matrices. CoRR Froilán M. Dopico, Vanni Noferini, María C. Quintana, Paul Van Dooren
2023	J	`jnl`	A Riemannian optimization method to compute the nearest singular pencil. CoRR Froilán M. Dopico, Vanni Noferini, Lauri Nyman
2023	J	`jnl`	Even grade generic skew-symmetric matrix polynomials with bounded rank. CoRR Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
2023	J	`jnl`	Minimal rank factorizations of polynomial matrices. CoRR Andrii Dmytryshyn, Froilán M. Dopico, Paul Van Dooren
2022	J	`jnl`	Diagonal Scalings for the Eigenstructure of Arbitrary Pencils. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, María C. Quintana, Paul Van Dooren
2022	J	`jnl`	Generic eigenstructures of Hermitian pencils. CoRR Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
2022	J	`jnl`	Linearizations of matrix polynomials viewed as Rosenbrock's system matrices. CoRR Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren
2022	J	`jnl`	Strongly Minimal Self-Conjugate Linearizations for Polynomial and Rational Matrices. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, María C. Quintana, Paul Van Dooren
2022	J	`jnl`	The DL(P) vector space of pencils for singular matrix polynomials. CoRR Froilán M. Dopico, Vanni Noferini
2021	J	`jnl`	Strongly minimal self-conjugate linearizations for polynomial and rational matrices. CoRR Froilán M. Dopico, María C. Quintana, Paul Van Dooren
2021	J	`jnl`	Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. CoRR Froilán M. Dopico, María C. Quintana, Paul Van Dooren
2020	J	`jnl`	Block Full Rank Linearizations of Rational Matrices. CoRR Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren
2020	J	`jnl`	Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations. Math. Comput. Luis Miguel Anguas, María Isabel Bueno Cachadina, Froilán M. Dopico
2020	J	`jnl`	Diagonal scalings for the eigenstructure of arbitrary pencils. CoRR Froilán M. Dopico, María C. Quintana, Paul Van Dooren
2020	J	`jnl`	Generic Symmetric Matrix Polynomials with Bounded Rank and Fixed Odd Grade. SIAM J. Matrix Anal. Appl. Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
2020	J	`jnl`	Special volume on mathematical modeling with applications. Numer. Algorithms Froilán M. Dopico, Khalide Jbilou, Mohammed Seaïd
2019	J	`jnl`	A compact rational Krylov method for large-scale rational eigenvalue problems. Numer. Linear Algebra Appl. Froilán M. Dopico, Javier González-Pizarro
2019	J	`jnl`	Generic symmetric matrix polynomials with bounded rank and fixed odd grade. CoRR Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico
2019	J	`jnl`	Local Linearizations of Rational Matrices with Application to Rational Approximations of Nonlinear Eigenvalue Problems. CoRR Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren
2019	J	`jnl`	On minimal bases and indices of rational matrices and their linearizations. CoRR Agurtzane Amparan, Froilán M. Dopico, Silvia Marcaida, Ion Zaballa
2019	J	`jnl`	Structured backward error analysis of linearized structured polynomial eigenvalue problems. Math. Comput. Froilán M. Dopico, Javier Pérez, Paul Van Dooren
2019	J	`jnl`	Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data. SIAM J. Matrix Anal. Appl. Luis Miguel Anguas, Froilán M. Dopico, Richard Hollister, D. Steven Mackey
2018	J	`jnl`	Block Kronecker linearizations of matrix polynomials and their backward errors. Numerische Mathematik Froilán M. Dopico, Piers W. Lawrence, Javier Pérez, Paul Van Dooren
2018	J	`jnl`	Strong Linearizations of Rational Matrices. SIAM J. Matrix Anal. Appl. Agurtzane Amparan, Froilán M. Dopico, Silvia Marcaida, Ion Zaballa
2017	J	`jnl`	Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic. SIAM J. Matrix Anal. Appl. María Isabel Bueno Cachadina, Froilán M. Dopico, Susana Furtado
2016	J	`jnl`	Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations. SIAM J. Matrix Anal. Appl. Fernando de Terán, Froilán M. Dopico
2016	J	`jnl`	Projection methods for large-scale T-Sylvester equations. Math. Comput. Froilán M. Dopico, Javier González, Daniel Kressner, Valeria Simoncini
2016	J	`jnl`	Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. Numer. Algorithms Froilán M. Dopico, Kenet Pomés
2016	J	`jnl`	Structured eigenvalue condition numbers for parameterized quasiseparable matrices. Numerische Mathematik Froilán M. Dopico, Kenet Pomés
2016	J	`jnl`	The Inverse Eigenvector Problem for Real Tridiagonal Matrices. SIAM J. Matrix Anal. Appl. Beresford N. Parlett, Froilán M. Dopico, Carla Ferreira
2015	J	`jnl`	Matrix Polynomials with Completely Prescribed Eigenstructure. SIAM J. Matrix Anal. Appl. Fernando de Terán, Froilán M. Dopico, Paul Van Dooren
2014	J	`jnl`	A New Perturbation Bound for the LDU Factorization of Diagonally Dominant Matrices. SIAM J. Matrix Anal. Appl. Megan Dailey, Froilán M. Dopico, Qiang Ye
2014	J	`jnl`	Relative Perturbation Theory for Diagonally Dominant Matrices. SIAM J. Matrix Anal. Appl. Megan Dailey, Froilán M. Dopico, Qiang Ye
2013	J	`jnl`	Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions. SIAM J. Matrix Anal. Appl. Nieves Castro-González, Johan Ceballos, Froilán M. Dopico, Juan M. Molera
2013	J	`jnl`	Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. Math. Comput. Froilán M. Dopico, Vadim Olshevsky, Pavel Zhlobich
2012	J	`jnl`	Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Numerische Mathematik Carla Ferreira, Beresford N. Parlett, Froilán M. Dopico
2011	J	`jnl`	Palindromic companion forms for matrix polynomials of odd degree. J. Comput. Appl. Math. Fernando de Terán, Froilán M. Dopico, D. Steven Mackey
2011	J	`jnl`	Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. Numerische Mathematik Froilán M. Dopico, Plamen Koev
2011	J	`jnl`	Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations. SIAM J. Matrix Anal. Appl. María Isabel Bueno Cachadina, Fernando de Terán, Froilán M. Dopico
2010	J	`jnl`	Fiedler Companion Linearizations and the Recovery of Minimal Indices. SIAM J. Matrix Anal. Appl. Fernando de Terán, Froilán M. Dopico, D. Steven Mackey
2009	J	`jnl`	Implicit standard Jacobi gives high relative accuracy. Numerische Mathematik Froilán M. Dopico, Plamen Koev, Juan M. Molera
2009	J	`jnl`	Parametrization of the Matrix Symplectic Group and Applications. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, Charles R. Johnson
2008	J	`jnl`	A Note on Generic Kronecker Orbits of Matrix Pencils with Fixed Rank. SIAM J. Matrix Anal. Appl. Fernando de Terán, Froilán M. Dopico
2008	J	`jnl`	Low Rank Perturbation of Weierstrass Structure. SIAM J. Matrix Anal. Appl. Fernando de Terán, Froilán M. Dopico, Julio Moro
2007	J	`jnl`	Low Rank Perturbation of Kronecker Structures without Full Rank. SIAM J. Matrix Anal. Appl. Fernando de Terán, Froilán M. Dopico
2006	J	`jnl`	Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, Plamen Koev
2005	J	`jnl`	Perturbation Theory for Factorizations of LU Type through Series Expansions. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, Juan M. Molera
2004	J	`jnl`	A Note on Multiplicative Backward Errors of Accurate SVD Algorithms. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, Julio Moro
2003	J	`jnl`	An Orthogonal High Relative Accuracy Algorithm for the Symmetric Eigenproblem. SIAM J. Matrix Anal. Appl. Froilán M. Dopico, Juan M. Molera, Julio Moro
2003	J	`jnl`	Low Rank Perturbation of Jordan Structure. SIAM J. Matrix Anal. Appl. Julio Moro, Froilán M. Dopico