An Orthogonal High Relative Accuracy Algorithm for the Symmetric Eigenproblem. - Froilán M. Dopico; Juan M. Molera; Julio Moro (SIAM J. Matrix Anal. Appl., 2003)

Low Rank Perturbation of Jordan Structure. - Julio Moro; Froilán M. Dopico (SIAM J. Matrix Anal. Appl., 2003)

A Note on Multiplicative Backward Errors of Accurate SVD Algorithms. - Froilán M. Dopico; Julio Moro (SIAM J. Matrix Anal. Appl., 2004)

Perturbation Theory for Factorizations of LU Type through Series Expansions. - Froilán M. Dopico; Juan M. Molera (SIAM J. Matrix Anal. Appl., 2005)

Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices. - Froilán M. Dopico; Plamen Koev (SIAM J. Matrix Anal. Appl., 2006)

Low Rank Perturbation of Kronecker Structures without Full Rank. - Fernando de Terán; Froilán M. Dopico (SIAM J. Matrix Anal. Appl., 2007)

A Note on Generic Kronecker Orbits of Matrix Pencils with Fixed Rank. - Fernando de Terán; Froilán M. Dopico (SIAM J. Matrix Anal. Appl., 2008)

Low Rank Perturbation of Weierstrass Structure. - Fernando de Terán; Froilán M. Dopico; Julio Moro (SIAM J. Matrix Anal. Appl., 2008)

Implicit standard Jacobi gives high relative accuracy. - Froilán M. Dopico; Plamen Koev; Juan M. Molera (Numerische Mathematik, 2009)

Parametrization of the Matrix Symplectic Group and Applications. - Froilán M. Dopico; Charles R. Johnson (SIAM J. Matrix Anal. Appl., 2009)

Fiedler Companion Linearizations and the Recovery of Minimal Indices. - Fernando de Terán; Froilán M. Dopico; D. Steven Mackey (SIAM J. Matrix Anal. Appl., 2010)

Palindromic companion forms for matrix polynomials of odd degree. - Fernando de Terán; Froilán M. Dopico; D. Steven Mackey (J. Comput. Appl. Math., 2011)

Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. - Froilán M. Dopico; Plamen Koev (Numerische Mathematik, 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)

Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. - Carla Ferreira 002; Beresford N. Parlett; Froilán M. Dopico (Numerische Mathematik, 2012)

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)

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)

A New Perturbation Bound for the LDU Factorization of Diagonally Dominant Matrices. - Megan Dailey; Froilán M. Dopico; Qiang Ye 003 (SIAM J. Matrix Anal. Appl., 2014)

Relative Perturbation Theory for Diagonally Dominant Matrices. - Megan Dailey; Froilán M. Dopico; Qiang Ye 003 (SIAM J. Matrix Anal. Appl., 2014)

Matrix Polynomials with Completely Prescribed Eigenstructure. - Fernando de Terán; Froilán M. Dopico; Paul Van Dooren (SIAM J. Matrix Anal. Appl., 2015)

Projection methods for large-scale T-Sylvester equations. - Froilán M. Dopico; Javier González; Daniel Kressner; Valeria Simoncini (Math. Comput., 2016)

Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. - Froilán M. Dopico; Kenet Pomés (Numer. Algorithms, 2016)

Structured eigenvalue condition numbers for parameterized quasiseparable matrices. - Froilán M. Dopico; Kenet Pomés (Numerische Mathematik, 2016)

The Inverse Eigenvector Problem for Real Tridiagonal Matrices. - Beresford N. Parlett; Froilán M. Dopico; Carla Ferreira 002 (SIAM J. Matrix Anal. Appl., 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)

Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic. - María Isabel Bueno Cachadina; Froilán M. Dopico; Susana Furtado (SIAM J. Matrix Anal. Appl., 2017)

Block Kronecker linearizations of matrix polynomials and their backward errors. - Froilán M. Dopico; Piers W. Lawrence; Javier Pérez; Paul Van Dooren (Numerische Mathematik, 2018)

Strong Linearizations of Rational Matrices. - Agurtzane Amparan; Froilán M. Dopico; Silvia Marcaida; Ion Zaballa (SIAM J. Matrix Anal. Appl., 2018)

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)

On minimal bases and indices of rational matrices and their linearizations. - Agurtzane Amparan; Froilán M. Dopico; Silvia Marcaida; Ion Zaballa (CoRR, 2019)

Structured backward error analysis of linearized structured polynomial eigenvalue problems. - Froilán M. Dopico; Javier Pérez; Paul Van Dooren (Math. Comput., 2019)

A compact rational Krylov method for large-scale rational eigenvalue problems. - Froilán M. Dopico; Javier González-Pizarro (Numer. Linear Algebra Appl., 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)

Block Full Rank Linearizations of Rational Matrices. - Froilán M. Dopico; Silvia Marcaida; María C. Quintana; Paul Van Dooren (CoRR, 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)

Special volume on mathematical modeling with applications. - Froilán M. Dopico; Khalide Jbilou; Mohammed Seaïd (Numer. Algorithms, 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)

Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. - Froilán M. Dopico; María C. Quintana; Paul Van Dooren (CoRR, 2021)

Linearizations of matrix polynomials viewed as Rosenbrock's system matrices. - Froilán M. Dopico; Silvia Marcaida; María C. Quintana; Paul Van Dooren (CoRR, 2022)

The DL(P) vector space of pencils for singular matrix polynomials. - Froilán M. Dopico; Vanni Noferini (CoRR, 2022)

Diagonal Scalings for the Eigenstructure of Arbitrary Pencils. - Froilán M. Dopico; María C. Quintana; Paul Van Dooren (SIAM J. Matrix Anal. Appl., 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., 2022)

Minimal rank factorizations of polynomial matrices. - Andrii Dmytryshyn; Froilán M. Dopico; Paul Van Dooren (CoRR, 2023)

Even grade generic skew-symmetric matrix polynomials with bounded rank. - Fernando de Terán; Andrii Dmytryshyn; Froilán M. Dopico (CoRR, 2023)

On bundle closures of matrix pencils and matrix polynomials. - Fernando de Terán; Froilán M. Dopico; Vadym Koval; Patryk Pagacz (CoRR, 2024)

A Riemannian Optimization Method to Compute the Nearest Singular Pencil. - Froilán M. Dopico; Vanni Noferini; Lauri Nyman (SIAM J. Matrix Anal. Appl., 2024)

Para-Hermitian Rational Matrices. - Froilán M. Dopico; Vanni Noferini; María C. Quintana; Paul Van Dooren (SIAM J. Matrix Anal. Appl., 2024)

Generic Eigenstructures of Hermitian Pencils. - Fernando de Terán; Andrii Dmytryshyn; Froilán M. Dopico (SIAM J. Matrix Anal. Appl., 2024)