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ORCIDFroilán M. Dopico
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2020 – today
- 2024
[j37]Fernando de Terán
, Andrii Dmytryshyn, Froilán M. Dopico:
Generic Eigenstructures of Hermitian Pencils. SIAM J. Matrix Anal. Appl. 45(1): 260-283 (2024)- [i15]Fernando de Terán, Froilán M. Dopico, Vadym Koval, Patryk Pagacz:
On bundle closures of matrix pencils and matrix polynomials. CoRR abs/2402.16702 (2024) - [i14]Froilán M. Dopico, Vanni Noferini, María C. Quintana, Paul Van Dooren:
Para-Hermitian rational matrices. CoRR abs/2407.13563 (2024) - 2023
- [i13]Froilán M. Dopico, Vanni Noferini, Lauri Nyman:
A Riemannian optimization method to compute the nearest singular pencil. CoRR abs/2308.12781 (2023) - [i12]Andrii Dmytryshyn, Froilán M. Dopico, Paul Van Dooren:
Minimal rank factorizations of polynomial matrices. CoRR abs/2312.00676 (2023) - [i11]Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico:
Even grade generic skew-symmetric matrix polynomials with bounded rank. CoRR abs/2312.16672 (2023) - 2022
- [j36]Froilán M. Dopico, María C. Quintana, Paul Van Dooren:
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils. SIAM J. Matrix Anal. Appl. 43(3): 1213-1237 (2022) - [j35]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): 1354-1381 (2022) - [i10]Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico:
Generic eigenstructures of Hermitian pencils. CoRR abs/2209.10495 (2022) - [i9]Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren:
Linearizations of matrix polynomials viewed as Rosenbrock's system matrices. CoRR abs/2211.09056 (2022) - [i8]Froilán M. Dopico, Vanni Noferini:
The DL(P) vector space of pencils for singular matrix polynomials. CoRR abs/2212.08212 (2022) - 2021
- [i7]Froilán M. Dopico, María C. Quintana, Paul Van Dooren:
Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. CoRR abs/2103.16395 (2021) - [i6]Froilán M. Dopico, María C. Quintana, Paul Van Dooren:
Strongly minimal self-conjugate linearizations for polynomial and rational matrices. CoRR abs/2110.12470 (2021) - 2020
- [j34]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): 767-805 (2020) - [j33]Froilán M. Dopico, Khalide Jbilou, Mohammed Seaïd:
Special volume on mathematical modeling with applications. Numer. Algorithms 84(4): 1239-1240 (2020) - [j32]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): 1033-1058 (2020) - [i5]Froilán M. Dopico, María C. Quintana, Paul Van Dooren:
Diagonal scalings for the eigenstructure of arbitrary pencils. CoRR abs/2009.00482 (2020) - [i4]Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren:
Block Full Rank Linearizations of Rational Matrices. CoRR abs/2011.00955 (2020)
2010 – 2019
- 2019
- [j31]Froilán M. Dopico, Javier Pérez, Paul Van Dooren:
Structured backward error analysis of linearized structured polynomial eigenvalue problems. Math. Comput. 88(317): 1189-1228 (2019) - [j30]Froilán M. Dopico, Javier González-Pizarro:
A compact rational Krylov method for large-scale rational eigenvalue problems. Numer. Linear Algebra Appl. 26(1) (2019) - [j29]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): 720-738 (2019) - [i3]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 abs/1907.10972 (2019) - [i2]Fernando de Terán, Andrii Dmytryshyn, Froilán M. Dopico:
Generic symmetric matrix polynomials with bounded rank and fixed odd grade. CoRR abs/1911.01408 (2019) - [i1]Agurtzane Amparan, Froilán M. Dopico, Silvia Marcaida, Ion Zaballa:
On minimal bases and indices of rational matrices and their linearizations. CoRR abs/1912.12293 (2019) - 2018
- [j28]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): 373-426 (2018) - [j27]Agurtzane Amparan, Froilán M. Dopico, Silvia Marcaida, Ion Zaballa:
Strong Linearizations of Rational Matrices. SIAM J. Matrix Anal. Appl. 39(4): 1670-1700 (2018) - 2017
- [j26]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): 249-272 (2017) - 2016
- [j25]Froilán M. Dopico, Javier González, Daniel Kressner, Valeria Simoncini:
Projection methods for large-scale T-Sylvester equations. Math. Comput. 85(301): 2427-2455 (2016) - [j24]Froilán M. Dopico, Kenet Pomés:
Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. Numer. Algorithms 73(4): 1131-1158 (2016) - [j23]Froilán M. Dopico, Kenet Pomés:
Structured eigenvalue condition numbers for parameterized quasiseparable matrices. Numerische Mathematik 134(3): 473-512 (2016) - [j22]Beresford N. Parlett, Froilán M. Dopico, Carla Ferreira:
The Inverse Eigenvector Problem for Real Tridiagonal Matrices. SIAM J. Matrix Anal. Appl. 37(2): 577-597 (2016) - [j21]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): 823-835 (2016) - 2015
- [j20]Fernando de Terán, Froilán M. Dopico, Paul Van Dooren:
Matrix Polynomials with Completely Prescribed Eigenstructure. SIAM J. Matrix Anal. Appl. 36(1): 302-328 (2015) - 2014
- [j19]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): 904-930 (2014) - [j18]Megan Dailey, Froilán M. Dopico, Qiang Ye:
Relative Perturbation Theory for Diagonally Dominant Matrices. SIAM J. Matrix Anal. Appl. 35(4): 1303-1328 (2014) - 2013
- [j17]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): 2007-2034 (2013) - [j16]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): 1112-1128 (2013) - 2012
- [j15]Carla Ferreira, Beresford N. Parlett, Froilán M. Dopico:
Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Numerische Mathematik 122(3): 527-555 (2012) - 2011
- [j14]Fernando de Terán, Froilán M. Dopico, D. Steven Mackey:
Palindromic companion forms for matrix polynomials of odd degree. J. Comput. Appl. Math. 236(6): 1464-1480 (2011) - [j13]Froilán M. Dopico, Plamen Koev:
Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. Numerische Mathematik 119(2): 337 (2011) - [j12]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): 463-483 (2011) - 2010
- [j11]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): 2181-2204 (2010)
2000 – 2009
- 2009
- [j10]Froilán M. Dopico, Plamen Koev, Juan M. Molera:
Implicit standard Jacobi gives high relative accuracy. Numerische Mathematik 113(4): 519-553 (2009) - [j9]Froilán M. Dopico, Charles R. Johnson:
Parametrization of the Matrix Symplectic Group and Applications. SIAM J. Matrix Anal. Appl. 31(2): 650-673 (2009) - 2008
- [j8]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): 491-496 (2008) - [j7]Fernando de Terán, Froilán M. Dopico, Julio Moro:
Low Rank Perturbation of Weierstrass Structure. SIAM J. Matrix Anal. Appl. 30(2): 538-547 (2008) - 2007
- [j6]Fernando de Terán, Froilán M. Dopico:
Low Rank Perturbation of Kronecker Structures without Full Rank. SIAM J. Matrix Anal. Appl. 29(2): 496-529 (2007) - 2006
- [j5]Froilán M. Dopico, Plamen Koev:
Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices. SIAM J. Matrix Anal. Appl. 28(4): 1126-1156 (2006) - 2005
- [j4]Froilán M. Dopico, Juan M. Molera:
Perturbation Theory for Factorizations of LU Type through Series Expansions. SIAM J. Matrix Anal. Appl. 27(2): 561-581 (2005) - 2004
- [j3]Froilán M. Dopico, Julio Moro:
A Note on Multiplicative Backward Errors of Accurate SVD Algorithms. SIAM J. Matrix Anal. Appl. 25(4): 1021-1031 (2004) - 2003
- [j2]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): 301-351 (2003) - [j1]Julio Moro, Froilán M. Dopico:
Low Rank Perturbation of Jordan Structure. SIAM J. Matrix Anal. Appl. 25(2): 495-506 (2003)
Coauthor Index
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