Edit Profile (opens in new tab) Dopico, Froilán M. Co-Author Distance Author ID: dopico.froilan-m Published as: Dopico, Froilán M.; Dopico, F. M.; Dopico, Froilán; Dopico, Froilan M.; Dopico, Froilan; Dopico, FroiláN M. more...less External Links: ORCID Documents Indexed: 91 Publications since 2000 4 Contributions as Editor Co-Authors: 50 Co-Authors with 93 Joint Publications 1,434 Co-Co-Authors all top 5 Co-Authors 2 single-authored 30 de Terán, Fernando 14 Van Dooren, Paul M. 9 Mackey, D. Steven 8 Bueno, María Isabel 8 Molera, Juan M. 8 Moro, Julio 8 Pérez, Javier J. 6 Quintana, María C. 5 Koev, Plamen 5 Marcaida, Silvia 4 Anguas, Luis Miguel 4 Dmytryshyn, Andrii R. 4 Johnson, Charles Royal 3 Furtado, Susana 2 Amparan, A. 2 Bapat, Ravindra Bhalchandra 2 Bollhöfer, Matthias 2 Castro González, Nieves 2 Dailey, Megan 2 Faßbender, Heike 2 Ferreira, Carla 2 Hollister, Richard 2 Kressner, Daniel 2 Noferini, Vanni 2 Parlett, Beresford Neill 2 Pomés, Kenet 2 Ye, Qiang 2 Zaballa, Ion 1 Ceballos, Johan 1 Coakley, Edward S. 1 González-Pizarro, Javier 1 Guillery, Nathan 1 Jbilou, Khalide 1 Landsberg, Joseph Montague 1 Lawrence, Piers W. 1 Mastronardi, Nicola 1 Mehrmann, Volker 1 Montealegre, Daniel 1 Olshevsky, Vadim 1 Perović, Vasilije 1 Quintana, María Del Carmen 1 Reyes, Nicolás Ruiz 1 Rychnovsky, Mark 1 Sanz-Serna, Jesús María 1 Seaïd, Mohammed 1 Simoncini, Valeria 1 Uhlig, Frank 1 Vandebril, Raf 1 Zhlobich, Pavel 1 Zykoski, Bradley all top 5 Serials 39 Linear Algebra and its Applications 23 SIAM Journal on Matrix Analysis and Applications 5 Numerische Mathematik 4 Mathematics of Computation 4 ELA. The Electronic Journal of Linear Algebra 3 BIT 3 Calcolo 2 IMA Journal of Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Numerical Algorithms 1 Linear and Multilinear Algebra 1 SIAM Review 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of Spectral Theory all top 5 Fields 81 Linear and multilinear algebra; matrix theory (15-XX) 66 Numerical analysis (65-XX) 11 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 1,017 times in 405 Documents Cited by ▼ Year ▼ Spectral equivalence of matrix polynomials and the index sum theorem. Zbl 1297.65038De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 68 2014 Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 67 2010 Block Kronecker linearizations of matrix polynomials and their backward errors. Zbl 1416.65094Dopico, Froilán M.; Lawrence, Piers W.; Pérez, Javier; Van Dooren, Paul 42 2018 Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 41 2009 Low rank perturbation of Jordan structure. Zbl 1055.15017Moro, Julio; Dopico, Froilán M. 33 2003 Fiedler companion linearizations for rectangular matrix polynomials. Zbl 1259.15031De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 33 2012 Palindromic companion forms for matrix polynomials of odd degree. Zbl 1239.15010De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 31 2011 Consistency and efficient solution of the Sylvester equation for \(*\)-congruence. Zbl 1256.65035De Teran, Fernando; Dopico, Froilan M. 30 2011 The solution of the equation \(XA+AX^T=0\) and its application to the theory of orbits. Zbl 1204.15022De Terán, Fernando; Dopico, Froilán M. 28 2011 Low rank perturbation of Kronecker structures without full rank. Zbl 1142.15010de Terán, Fernando; Dopico, Froilán M. 27 2007 Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations. Zbl 1244.65051Bueno, María I.; De Terán, Fernando; Dopico, Froilán M. 27 2011 Matrix polynomials with completely prescribed eigenstructure. Zbl 1315.15021De Terán, Fernando; Dopico, Froilán M.; van Dooren, Paul 24 2015 Large vector spaces of block-symmetric strong linearizations of matrix polynomials. Zbl 1312.65052Bueno, M. I.; Dopico, F. M.; Furtado, S.; Rychnovsky, M. 21 2015 Low rank perturbation of Weierstrass structure. Zbl 1163.15010de Terán, Fernando; Dopico, Froilán M.; Moro, Julio 21 2008 The solution of the equation \(AX + X^{\star}B =0\). Zbl 1264.15016De Terán, Fernando; Dopico, Froilán M.; Guillery, Nathan; Montealegre, Daniel; Reyes, Nicolás 20 2013 Backward stability of polynomial root-finding using Fiedler companion matrices. Zbl 1344.65048De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 17 2016 Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. Zbl 1254.65042Dopico, Froilán M.; Koev, Plamen 17 2011 A simplified approach to Fiedler-like pencils via block minimal bases pencils. Zbl 1392.65088Bueno, M. I.; Dopico, F. M.; Pérez, J.; Saavedra, R.; Zykoski, B. 16 2018 Generic change of the partial multiplicities of regular matrix pencils under low-rank perturbations. Zbl 1342.15004De Terán, Fernando; Dopico, Froilán M. 16 2016 An orthogonal high relative accuracy algorithm for the symmetric eigenproblem. Zbl 1053.65024Dopico, Froilán M.; Molera, Juan M.; Moro, Julio 15 2003 Accurate solution of structured least squares problems via rank-revealing decompositions. Zbl 1296.65060Castro-González, Nieves; Ceballos, Johan; Dopico, Froilán M.; Molera, Juan M. 15 2013 Accurate solution of structured linear systems via rank-revealing decompositions. Zbl 1251.65040Dopico, Froilán M.; Molera, Juan M. 15 2012 Accurate symmetric rank revealing and eigendecompositions of symmetric structured matrices. Zbl 1124.65039Dopico, Froilán M.; Koev, Plamen 15 2006 Implicit standard Jacobi gives high relative accuracy. Zbl 1223.65025Dopico, Froilán M.; Koev, Plamen; Molera, Juan M. 15 2009 Accurate eigenvalues of certain sign regular matrices. Zbl 1117.65053Koev, Plamen; Dopico, Froilán 15 2007 Strong linearizations of rational matrices. Zbl 1431.65039Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. 14 2018 The equation \(XA+AX^*=0\) and the dimension of *congruence orbits. Zbl 1223.15018De Terán, Fernando; Dopico, Froilán M. 13 2011 Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree. Zbl 1375.15013Dmytryshyn, Andrii; Dopico, Froilán M. 12 2017 A note on generic Kronecker orbits of matrix pencils with fixed rank. Zbl 1165.15012de Terán, Fernando; Dopico, Froilán M. 12 2008 Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. Zbl 1327.15022De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; van Dooren, Paul 11 2016 Sharp lower bounds for the dimension of linearizations of matrix polynomials. Zbl 1173.15014De Teran, Fernando; Dopico, Froilan M. 11 2008 A new perturbation bound for the LDU factorization of diagonally dominant matrices. Zbl 1306.65179Dailey, Megan; Dopico, Froilán M.; Ye, Qiang 10 2014 First order spectral perturbation theory of square singular matrix pencils. Zbl 1154.15012de Terán, Fernando; Dopico, Froilán M.; Moro, Julio 10 2008 Structured backward error analysis of linearized structured polynomial eigenvalue problems. Zbl 1408.65015Dopico, Froilán M.; Pérez, Javier; van Dooren, Paul 10 2019 First order eigenvalue perturbation theory and the Newton diagram. Zbl 1017.15008Moro, Julio; Dopico, Froilán M. 10 2003 Complementary bases in symplectic matrices and a proof that their determinant is one. Zbl 1112.15002Dopico, Froilán M.; Johnson, Charles R. 10 2006 A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error. Zbl 1416.65091Bueno, M. I.; Dopico, F. M.; Furtado, S.; Medina, L. 10 2018 Condition numbers for inversion of Fiedler companion matrices. Zbl 1281.15004De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 10 2013 Linearizations of Hermitian matrix polynomials preserving the sign characteristic. Zbl 1365.65093Bueno, María I.; Dopico, Froilán M.; Furtado, Susana 9 2017 Relative perturbation theory for diagonally dominant matrices. Zbl 1317.15019Dailey, Megan; Dopico, Froilán M.; Ye, Qiang 9 2014 Low rank perturbation of regular matrix polynomials. Zbl 1190.15025de Terán, Fernando; Dopico, Froilán M. 9 2009 Root polynomials and their role in the theory of matrix polynomials. Zbl 1439.15004Dopico, Froilán M.; Noferini, Vanni 9 2020 Perturbation theory for factorizations of LU type through series expansions. Zbl 1094.65021Dopico, Froilán M.; Molera, Juan M. 9 2005 Constructing strong \(\ell\)-ifications from dual minimal bases. Zbl 1333.65044De Terán, Fernando; Dopico, Froilán M.; Van Dooren, Paul 8 2016 A note on \(\sin\Theta\) theorems for singular subspace variations. Zbl 0961.65034Dopico, Froilán M. 8 2000 A more accurate algorithm for computing the Christoffel transformation. Zbl 1120.65050Bueno, María I.; Dopico, Froilán M. 8 2007 Structured eigenvalue condition numbers for parameterized quasiseparable matrices. Zbl 1364.65084Dopico, Froilán M.; Pomés, Kenet 7 2016 Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis. Zbl 1416.65095Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C. 7 2019 Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems. Zbl 1453.65076Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul 7 2020 Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. Zbl 1360.65133Dopico, Froilán M.; Pomés, Kenet 6 2016 Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. Zbl 1279.65033Dopico, Froilán M.; Olshevsky, Vadim; Zhlobich, Pavel 6 2013 New bounds for roots of polynomials based on Fiedler companion matrices. Zbl 1288.15010De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 6 2014 Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade. Zbl 1373.15017Dmytryshyn, Andrii; Dopico, Froilán M. 6 2018 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 6 2016 Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices. Zbl 0957.15014Dopico, Froilán M.; Moro, Julio; Molera, Juan M. 6 2000 Block minimal bases \(\ell\)-ifications of matrix polynomials. Zbl 1404.65020Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul 6 2019 Parametrization of the matrix symplectic group and applications. Zbl 1193.15011Dopico, Froilán M.; Johnson, Charles R. 5 2009 Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Zbl 1332.65050Ferreira, Carla; Parlett, Beresford; Dopico, Froilán M. 5 2012 Multiplicative perturbation theory of the Moore-Penrose inverse and the least squares problem. Zbl 1338.15011Castro-González, Nieves; Dopico, Froilán M.; Molera, Juan M. 5 2016 Stability and sensitivity of tridiagonal LU factorization without pivoting. Zbl 1082.65033Bueno, M. Isabel; Dopico, Froilán M. 5 2004 Multiple LU factorizations of a singular matrix. Zbl 1106.15009Dopico, Froilán M.; Johnson, Charles R.; Molera, Juan M. 5 2006 On minimal bases and indices of rational matrices and their linearizations. Zbl 1472.15008Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. 5 2021 Robustness and perturbations of minimal bases. Zbl 1415.15003Van Dooren, Paul; Dopico, Froilán M. 4 2018 A comparison of eigenvalue condition numbers for matrix polynomials. Zbl 1407.15010Anguas, Luis Miguel; Bueno, María Isabel; Dopico, Froilán M. 4 2019 A compact rational Krylov method for large-scale rational eigenvalue problems. Zbl 07031714Dopico, Froilán M.; González-Pizarro, Javier 4 2019 First order spectral perturbation theory of square singular matrix polynomials. Zbl 1187.15013de Terán, Fernando; Dopico, Froilán M. 4 2010 An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank. Zbl 1359.15006De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. 3 2017 Computing matrix symmetrizers. II: New methods using eigendata and linear means; a comparison. Zbl 1337.65030Dopico, Froilán; Uhlig, Frank 3 2016 Eigenvalue condition numbers and pseudospectra of Fiedler matrices. Zbl 1372.65141De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 2 2017 The inverse eigenvector problem for real tridiagonal matrices. Zbl 1338.65103Parlett, Beresford; Dopico, Froilán M.; Ferreira, Carla 2 2016 Quadratic realizability of palindromic matrix polynomials. Zbl 07060483De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; Perović, Vasilije 2 2019 Van Dooren’s index sum theorem and rational matrices with prescribed structural data. Zbl 1428.15016Anguas, Luis M.; Dopico, FroiláN M.; Hollister, Richard; Mackey, D. Steven 2 2019 Bidiagonal decompositions of oscillating systems of vectors. Zbl 1143.15021Dopico, Froilán M.; Koev, Plamen 2 2008 Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. Zbl 1509.65029Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul 2 2023 Strongly minimal self-conjugate linearizations for polynomial and rational matrices. Zbl 1506.15013Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul 2 2022 A note on multiplicative backward errors of accurate SVD algorithms. Zbl 1069.65042Dopico, Froilán M.; Moro, Julio 1 2004 Stability and sensivity of Darboux transformation without parameter. Zbl 1065.65060Bueno, M. Isabel; Dopico, Froilán M. 1 2004 Matrices with orthogonal groups admitting only determinant one. Zbl 1136.15008Coakley, Edward S.; Dopico, Froilán M.; Johnson, Charles R. 1 2008 Minisymposium in honor of Miroslav Fiedler. Zbl 1280.00058 1 2013 Generic symmetric matrix pencils with bounded rank. Zbl 1462.15017De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. 1 2020 Generic symmetric matrix polynomials with bounded rank and fixed odd grade. Zbl 1458.15015De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. 1 2020 Block full rank linearizations of rational matrices. Zbl 1518.65032Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul 1 2023 Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. Zbl 1509.65029Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul 2 2023 Block full rank linearizations of rational matrices. Zbl 1518.65032Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul 1 2023 Strongly minimal self-conjugate linearizations for polynomial and rational matrices. Zbl 1506.15013Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul 2 2022 On minimal bases and indices of rational matrices and their linearizations. Zbl 1472.15008Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. 5 2021 Root polynomials and their role in the theory of matrix polynomials. Zbl 1439.15004Dopico, Froilán M.; Noferini, Vanni 9 2020 Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems. Zbl 1453.65076Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul 7 2020 Generic symmetric matrix pencils with bounded rank. Zbl 1462.15017De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. 1 2020 Generic symmetric matrix polynomials with bounded rank and fixed odd grade. Zbl 1458.15015De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. 1 2020 Structured backward error analysis of linearized structured polynomial eigenvalue problems. Zbl 1408.65015Dopico, Froilán M.; Pérez, Javier; van Dooren, Paul 10 2019 Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis. Zbl 1416.65095Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C. 7 2019 Block minimal bases \(\ell\)-ifications of matrix polynomials. Zbl 1404.65020Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul 6 2019 A comparison of eigenvalue condition numbers for matrix polynomials. Zbl 1407.15010Anguas, Luis Miguel; Bueno, María Isabel; Dopico, Froilán M. 4 2019 A compact rational Krylov method for large-scale rational eigenvalue problems. Zbl 07031714Dopico, Froilán M.; González-Pizarro, Javier 4 2019 Quadratic realizability of palindromic matrix polynomials. Zbl 07060483De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; Perović, Vasilije 2 2019 Van Dooren’s index sum theorem and rational matrices with prescribed structural data. Zbl 1428.15016Anguas, Luis M.; Dopico, FroiláN M.; Hollister, Richard; Mackey, D. Steven 2 2019 Block Kronecker linearizations of matrix polynomials and their backward errors. Zbl 1416.65094Dopico, Froilán M.; Lawrence, Piers W.; Pérez, Javier; Van Dooren, Paul 42 2018 A simplified approach to Fiedler-like pencils via block minimal bases pencils. Zbl 1392.65088Bueno, M. I.; Dopico, F. M.; Pérez, J.; Saavedra, R.; Zykoski, B. 16 2018 Strong linearizations of rational matrices. Zbl 1431.65039Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. 14 2018 A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error. Zbl 1416.65091Bueno, M. I.; Dopico, F. M.; Furtado, S.; Medina, L. 10 2018 Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade. Zbl 1373.15017Dmytryshyn, Andrii; Dopico, Froilán M. 6 2018 Robustness and perturbations of minimal bases. Zbl 1415.15003Van Dooren, Paul; Dopico, Froilán M. 4 2018 Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree. Zbl 1375.15013Dmytryshyn, Andrii; Dopico, Froilán M. 12 2017 Linearizations of Hermitian matrix polynomials preserving the sign characteristic. Zbl 1365.65093Bueno, María I.; Dopico, Froilán M.; Furtado, Susana 9 2017 An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank. Zbl 1359.15006De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. 3 2017 Eigenvalue condition numbers and pseudospectra of Fiedler matrices. Zbl 1372.65141De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 2 2017 Backward stability of polynomial root-finding using Fiedler companion matrices. Zbl 1344.65048De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 17 2016 Generic change of the partial multiplicities of regular matrix pencils under low-rank perturbations. Zbl 1342.15004De Terán, Fernando; Dopico, Froilán M. 16 2016 Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. Zbl 1327.15022De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; van Dooren, Paul 11 2016 Constructing strong \(\ell\)-ifications from dual minimal bases. Zbl 1333.65044De Terán, Fernando; Dopico, Froilán M.; Van Dooren, Paul 8 2016 Structured eigenvalue condition numbers for parameterized quasiseparable matrices. Zbl 1364.65084Dopico, Froilán M.; Pomés, Kenet 7 2016 Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. Zbl 1360.65133Dopico, Froilán M.; Pomés, Kenet 6 2016 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 6 2016 Multiplicative perturbation theory of the Moore-Penrose inverse and the least squares problem. Zbl 1338.15011Castro-González, Nieves; Dopico, Froilán M.; Molera, Juan M. 5 2016 Computing matrix symmetrizers. II: New methods using eigendata and linear means; a comparison. Zbl 1337.65030Dopico, Froilán; Uhlig, Frank 3 2016 The inverse eigenvector problem for real tridiagonal matrices. Zbl 1338.65103Parlett, Beresford; Dopico, Froilán M.; Ferreira, Carla 2 2016 Matrix polynomials with completely prescribed eigenstructure. Zbl 1315.15021De Terán, Fernando; Dopico, Froilán M.; van Dooren, Paul 24 2015 Large vector spaces of block-symmetric strong linearizations of matrix polynomials. Zbl 1312.65052Bueno, M. I.; Dopico, F. M.; Furtado, S.; Rychnovsky, M. 21 2015 Spectral equivalence of matrix polynomials and the index sum theorem. Zbl 1297.65038De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 68 2014 A new perturbation bound for the LDU factorization of diagonally dominant matrices. Zbl 1306.65179Dailey, Megan; Dopico, Froilán M.; Ye, Qiang 10 2014 Relative perturbation theory for diagonally dominant matrices. Zbl 1317.15019Dailey, Megan; Dopico, Froilán M.; Ye, Qiang 9 2014 New bounds for roots of polynomials based on Fiedler companion matrices. Zbl 1288.15010De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 6 2014 The solution of the equation \(AX + X^{\star}B =0\). Zbl 1264.15016De Terán, Fernando; Dopico, Froilán M.; Guillery, Nathan; Montealegre, Daniel; Reyes, Nicolás 20 2013 Accurate solution of structured least squares problems via rank-revealing decompositions. Zbl 1296.65060Castro-González, Nieves; Ceballos, Johan; Dopico, Froilán M.; Molera, Juan M. 15 2013 Condition numbers for inversion of Fiedler companion matrices. Zbl 1281.15004De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 10 2013 Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. Zbl 1279.65033Dopico, Froilán M.; Olshevsky, Vadim; Zhlobich, Pavel 6 2013 Minisymposium in honor of Miroslav Fiedler. Zbl 1280.00058 1 2013 Fiedler companion linearizations for rectangular matrix polynomials. Zbl 1259.15031De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 33 2012 Accurate solution of structured linear systems via rank-revealing decompositions. Zbl 1251.65040Dopico, Froilán M.; Molera, Juan M. 15 2012 Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Zbl 1332.65050Ferreira, Carla; Parlett, Beresford; Dopico, Froilán M. 5 2012 Palindromic companion forms for matrix polynomials of odd degree. Zbl 1239.15010De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 31 2011 Consistency and efficient solution of the Sylvester equation for \(*\)-congruence. Zbl 1256.65035De Teran, Fernando; Dopico, Froilan M. 30 2011 The solution of the equation \(XA+AX^T=0\) and its application to the theory of orbits. Zbl 1204.15022De Terán, Fernando; Dopico, Froilán M. 28 2011 Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations. Zbl 1244.65051Bueno, María I.; De Terán, Fernando; Dopico, Froilán M. 27 2011 Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. Zbl 1254.65042Dopico, Froilán M.; Koev, Plamen 17 2011 The equation \(XA+AX^*=0\) and the dimension of *congruence orbits. Zbl 1223.15018De Terán, Fernando; Dopico, Froilán M. 13 2011 Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 67 2010 First order spectral perturbation theory of square singular matrix polynomials. Zbl 1187.15013de Terán, Fernando; Dopico, Froilán M. 4 2010 Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 41 2009 Implicit standard Jacobi gives high relative accuracy. Zbl 1223.65025Dopico, Froilán M.; Koev, Plamen; Molera, Juan M. 15 2009 Low rank perturbation of regular matrix polynomials. Zbl 1190.15025de Terán, Fernando; Dopico, Froilán M. 9 2009 Parametrization of the matrix symplectic group and applications. Zbl 1193.15011Dopico, Froilán M.; Johnson, Charles R. 5 2009 Low rank perturbation of Weierstrass structure. Zbl 1163.15010de Terán, Fernando; Dopico, Froilán M.; Moro, Julio 21 2008 A note on generic Kronecker orbits of matrix pencils with fixed rank. Zbl 1165.15012de Terán, Fernando; Dopico, Froilán M. 12 2008 Sharp lower bounds for the dimension of linearizations of matrix polynomials. Zbl 1173.15014De Teran, Fernando; Dopico, Froilan M. 11 2008 First order spectral perturbation theory of square singular matrix pencils. Zbl 1154.15012de Terán, Fernando; Dopico, Froilán M.; Moro, Julio 10 2008 Bidiagonal decompositions of oscillating systems of vectors. Zbl 1143.15021Dopico, Froilán M.; Koev, Plamen 2 2008 Matrices with orthogonal groups admitting only determinant one. Zbl 1136.15008Coakley, Edward S.; Dopico, Froilán M.; Johnson, Charles R. 1 2008 Low rank perturbation of Kronecker structures without full rank. Zbl 1142.15010de Terán, Fernando; Dopico, Froilán M. 27 2007 Accurate eigenvalues of certain sign regular matrices. Zbl 1117.65053Koev, Plamen; Dopico, Froilán 15 2007 A more accurate algorithm for computing the Christoffel transformation. Zbl 1120.65050Bueno, María I.; Dopico, Froilán M. 8 2007 Accurate symmetric rank revealing and eigendecompositions of symmetric structured matrices. Zbl 1124.65039Dopico, Froilán M.; Koev, Plamen 15 2006 Complementary bases in symplectic matrices and a proof that their determinant is one. Zbl 1112.15002Dopico, Froilán M.; Johnson, Charles R. 10 2006 Multiple LU factorizations of a singular matrix. Zbl 1106.15009Dopico, Froilán M.; Johnson, Charles R.; Molera, Juan M. 5 2006 Perturbation theory for factorizations of LU type through series expansions. Zbl 1094.65021Dopico, Froilán M.; Molera, Juan M. 9 2005 Stability and sensitivity of tridiagonal LU factorization without pivoting. Zbl 1082.65033Bueno, M. Isabel; Dopico, Froilán M. 5 2004 A note on multiplicative backward errors of accurate SVD algorithms. Zbl 1069.65042Dopico, Froilán M.; Moro, Julio 1 2004 Stability and sensivity of Darboux transformation without parameter. Zbl 1065.65060Bueno, M. Isabel; Dopico, Froilán M. 1 2004 Low rank perturbation of Jordan structure. Zbl 1055.15017Moro, Julio; Dopico, Froilán M. 33 2003 An orthogonal high relative accuracy algorithm for the symmetric eigenproblem. Zbl 1053.65024Dopico, Froilán M.; Molera, Juan M.; Moro, Julio 15 2003 First order eigenvalue perturbation theory and the Newton diagram. Zbl 1017.15008Moro, Julio; Dopico, Froilán M. 10 2003 A note on \(\sin\Theta\) theorems for singular subspace variations. Zbl 0961.65034Dopico, Froilán M. 8 2000 Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices. Zbl 0957.15014Dopico, Froilán M.; Moro, Julio; Molera, Juan M. 6 2000 all cited Publications top 5 cited Publications all top 5 Cited by 430 Authors 54 Dopico, Froilán M. 31 de Terán, Fernando 22 Van Dooren, Paul M. 19 Huang, Rong 19 Noferini, Vanni 17 Pérez, Javier J. 16 Mehrmann, Volker 15 Mackey, D. Steven 15 Mehl, Christian 14 Dmytryshyn, Andrii R. 10 Wojtylak, Michał 9 Ran, André C. M. 8 Alam, Rafikul 8 Marcaida, Silvia 8 Robol, Leonardo 7 Bueno, María Isabel 7 He, ZhuoHeng 7 Quintana, María C. 7 Sergeichuk, Vladimir Vasil’evich 7 Zaballa, Ion 6 Baragaña, Itziar 6 Dodig, Marija 6 Furtado, Susana 6 Hari, Vjeran 6 Poloni, Federico Giovanni 6 Vandebril, Raf 6 Wang, Qingwen 5 Amparan, A. 5 Behera, Namita 5 Das, Ranjan Kumar 5 Futorny, Vyacheslav M. 5 Huang, Ting-Zhu 5 Kågström, Bo 5 Peña, Juan Manuel 5 Roca, Alicia 5 Stošić, Marko 5 Trunk, Carsten 5 Yang, Zhao 4 Anguas, Luis Miguel 4 Del Corso, Gianna M. 4 Drmač, Zlatko 4 Faßbender, Heike 4 Ikramov, Saidkhakim Dododshanovich 4 Lawrence, Piers W. 4 Moro, Julio 4 Nakatsukasa, Yuji 4 Okša, Gabriel 4 Perović, Vasilije 4 Rodman, Leiba X. 4 Singer, Sanja 4 Singer, Saša 4 Vajteršic, Marián 4 Vander Meulen, Kevin N. 4 Wu, Chiye 4 Yamamoto, Yusaku 4 Zhang, Yang 3 Aurentz, Jared Lee 3 Benner, Peter 3 Bora, Shreemayee 3 Corless, Robert Malcolm 3 Das, Biswajit 3 Diao, Huaian 3 Dominici, Diego Ernesto 3 Gemignani, Luca 3 Gernandt, Hannes 3 Hernando, Carla 3 Iannazzo, Bruno 3 Klymchuk, Tetiana 3 Koev, Plamen 3 Li, Wen 3 Mach, Thomas 3 Mackey, Niloufer 3 Martínez Pería, Francisco D. 3 Meng, Lingsheng 3 Saltenberger, Philip 3 Sogabe, Tomohiro 3 Song, Caiqin 3 Townsend, Alex 3 Watkins, David S. 3 Zhang, Shao-Liang 2 Abalos, Fernando 2 Adhikari, Bibhas 2 Antoniou, Efstathios N. 2 Barreras, Alvaro 2 Bečka, Martin 2 Bevilacqua, Roberto 2 Caalim, Jonathan V. 2 Cantó, Rafael 2 Chan, Eunice Y. S. 2 Chandrasekaran, Shivkumar 2 Chiang, Chun-Yueh 2 Chu, Delin 2 De La Cruz, Ralph John Lamadrid 2 Dobosevych, Oles 2 Eastman, Brydon 2 Ferreira, Carla 2 Garcia, Stephan Ramon 2 Hajarian, Masoud 2 Hochstenbach, Michiel E. 2 Hollister, Richard ...and 330 more Authors all top 5 Cited in 84 Serials 127 Linear Algebra and its Applications 52 SIAM Journal on Matrix Analysis and Applications 21 Journal of Computational and Applied Mathematics 18 Linear and Multilinear Algebra 14 ELA. The Electronic Journal of Linear Algebra 12 Numerische Mathematik 11 Mathematics of Computation 10 BIT 9 Calcolo 8 Applied Mathematics and Computation 7 Numerical Algorithms 4 Journal of Computational Physics 4 Applied Numerical Mathematics 4 SIAM Journal on Scientific Computing 4 Numerical Linear Algebra with Applications 3 Journal of the Franklin Institute 3 Automatica 3 Journal of Scientific Computing 3 Filomat 3 ETNA. Electronic Transactions on Numerical Analysis 3 Foundations of Computational Mathematics 3 S\(\vec{\text{e}}\)MA Journal 2 Ukrainian Mathematical Journal 2 Integral Equations and Operator Theory 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 MCSS. Mathematics of Control, Signals, and Systems 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Computational and Applied Mathematics 2 Complex Analysis and Operator Theory 2 Operators and Matrices 2 Special Matrices 1 Classical and Quantum Gravity 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 ACM Transactions on Mathematical Software 1 The Annals of Statistics 1 Czechoslovak Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista de la Unión Matemática Argentina 1 Journal of Symbolic Computation 1 Journal of Theoretical Probability 1 Multidimensional Systems and Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 Automation and Remote Control 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Doklady Mathematics 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Acta Mathematica Sinica. English Series 1 Journal of Nonlinear Mathematical Physics 1 Computational Methods in Applied Mathematics 1 Computational Methods and Function Theory 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Asian-European Journal of Mathematics 1 ACM Communications in Computer Algebra 1 Advances in Fuzzy Systems 1 Journal of Pseudo-Differential Operators and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Spectral Theory 1 Asian Journal of Control 1 Random Matrices: Theory and Applications 1 Numerical Algebra, Control and Optimization 1 Axioms 1 Journal of Classical Analysis all top 5 Cited in 36 Fields 313 Linear and multilinear algebra; matrix theory (15-XX) 228 Numerical analysis (65-XX) 47 Operator theory (47-XX) 38 Systems theory; control (93-XX) 9 Ordinary differential equations (34-XX) 8 Combinatorics (05-XX) 7 Computer science (68-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Special functions (33-XX) 5 Partial differential equations (35-XX) 5 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 3 Number theory (11-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Commutative algebra (13-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year