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: 101 Publications since 2000, including 6 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 53 Co-Authors with 103 Joint Publications 1,574 Co-Co-Authors all top 5 Co-Authors 2 single-authored 33 de Terán, Fernando 17 Van Dooren, Paul M. 9 Mackey, D. Steven 8 Bueno, María Isabel 8 Dmytryshyn, Andrii R. 8 Molera, Juan M. 8 Moro, Julio 8 Pérez, Javier J. 8 Quintana, María C. 6 Marcaida, Silvia 5 Koev, Plamen 5 Noferini, Vanni 4 Anguas, Luis Miguel 4 Furtado, Susana 4 Johnson, Charles Royal 3 Zaballa, Ion 2 Amparan, Agurtzane 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 Parlett, Beresford Neill 2 Pomés, Kenet 2 Ye, Qiang 1 Ceballos, Johan 1 Coakley, Edward S. 1 González-Pizarro, Javier 1 Guillery, Nathan 1 Jbilou, Khalide 1 Koval, Vadym 1 Landsberg, Joseph Montague 1 Lawrence, Piers W. 1 Mastronardi, Nicola 1 Mehrmann, Volker 1 Montealegre, Daniel 1 Nyman, Lauri 1 Olshevsky, Vadim 1 Pagacz, Patryk 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 41 Linear Algebra and its Applications 25 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 91 Linear and multilinear algebra; matrix theory (15-XX) 70 Numerical analysis (65-XX) 13 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 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,164 times in 459 Documents Cited by ▼ Year ▼ Spectral equivalence of matrix polynomials and the index sum theorem. Zbl 1297.65038 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 72 2014 Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024 de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 72 2010 Block Kronecker linearizations of matrix polynomials and their backward errors. Zbl 1416.65094 Dopico, Froilán M.; Lawrence, Piers W.; Pérez, Javier; Van Dooren, Paul 46 2018 Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 42 2009 Low rank perturbation of Jordan structure. Zbl 1055.15017 Moro, Julio; Dopico, Froilán M. 37 2003 Fiedler companion linearizations for rectangular matrix polynomials. Zbl 1259.15031 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 34 2012 Palindromic companion forms for matrix polynomials of odd degree. Zbl 1239.15010 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 31 2011 Low rank perturbation of Kronecker structures without full rank. Zbl 1142.15010 de Terán, Fernando; Dopico, Froilán M. 31 2007 Consistency and efficient solution of the Sylvester equation for \(*\)-congruence. Zbl 1256.65035 De Teran, Fernando; Dopico, Froilan M. 31 2011 The solution of the equation \(XA+AX^T=0\) and its application to the theory of orbits. Zbl 1204.15022 De Terán, Fernando; Dopico, Froilán M. 30 2011 Matrix polynomials with completely prescribed eigenstructure. Zbl 1315.15021 De Terán, Fernando; Dopico, Froilán M.; van Dooren, Paul 28 2015 Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations. Zbl 1244.65051 Bueno, María I.; De Terán, Fernando; Dopico, Froilán M. 28 2011 Low rank perturbation of Weierstrass structure. Zbl 1163.15010 de Terán, Fernando; Dopico, Froilán M.; Moro, Julio 27 2008 The solution of the equation \(AX + X^{\star}B =0\). Zbl 1264.15016 De Terán, Fernando; Dopico, Froilán M.; Guillery, Nathan; Montealegre, Daniel; Reyes, Nicolás 23 2013 Large vector spaces of block-symmetric strong linearizations of matrix polynomials. Zbl 1312.65052 Bueno, M. I.; Dopico, F. M.; Furtado, S.; Rychnovsky, M. 22 2015 Generic change of the partial multiplicities of regular matrix pencils under low-rank perturbations. Zbl 1342.15004 De Terán, Fernando; Dopico, Froilán M. 21 2016 Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. Zbl 1254.65042 Dopico, Froilán M.; Koev, Plamen 20 2011 Accurate eigenvalues of certain sign regular matrices. Zbl 1117.65053 Koev, Plamen; Dopico, Froilán 19 2007 Backward stability of polynomial root-finding using Fiedler companion matrices. Zbl 1344.65048 De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 18 2016 Implicit standard Jacobi gives high relative accuracy. Zbl 1223.65025 Dopico, Froilán M.; Koev, Plamen; Molera, Juan M. 18 2009 Accurate solution of structured linear systems via rank-revealing decompositions. Zbl 1251.65040 Dopico, Froilán M.; Molera, Juan M. 18 2012 Strong linearizations of rational matrices. Zbl 1431.65039 Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. 18 2018 Accurate solution of structured least squares problems via rank-revealing decompositions. Zbl 1296.65060 Castro-González, Nieves; Ceballos, Johan; Dopico, Froilán M.; Molera, Juan M. 17 2013 A simplified approach to Fiedler-like pencils via block minimal bases pencils. Zbl 1392.65088 Bueno, M. I.; Dopico, F. M.; Pérez, J.; Saavedra, R.; Zykoski, B. 17 2018 An orthogonal high relative accuracy algorithm for the symmetric eigenproblem. Zbl 1053.65024 Dopico, Froilán M.; Molera, Juan M.; Moro, Julio 16 2003 The equation \(XA+AX^*=0\) and the dimension of *congruence orbits. Zbl 1223.15018 De Terán, Fernando; Dopico, Froilán M. 15 2011 A note on generic Kronecker orbits of matrix pencils with fixed rank. Zbl 1165.15012 de Terán, Fernando; Dopico, Froilán M. 15 2008 Accurate symmetric rank revealing and eigendecompositions of symmetric structured matrices. Zbl 1124.65039 Dopico, Froilán M.; Koev, Plamen 15 2006 Root polynomials and their role in the theory of matrix polynomials. Zbl 1439.15004 Dopico, Froilán M.; Noferini, Vanni 15 2020 Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree. Zbl 1375.15013 Dmytryshyn, Andrii; Dopico, Froilán M. 13 2017 Condition numbers for inversion of Fiedler companion matrices. Zbl 1281.15004 De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 13 2013 First order spectral perturbation theory of square singular matrix pencils. Zbl 1154.15012 de Terán, Fernando; Dopico, Froilán M.; Moro, Julio 13 2008 Low rank perturbation of regular matrix polynomials. Zbl 1190.15025 de Terán, Fernando; Dopico, Froilán M. 12 2009 Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems. Zbl 1453.65076 Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul 12 2020 A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error. Zbl 1416.65091 Bueno, M. I.; Dopico, F. M.; Furtado, S.; Medina, L. 11 2018 Relative perturbation theory for diagonally dominant matrices. Zbl 1317.15019 Dailey, Megan; Dopico, Froilán M.; Ye, Qiang 11 2014 Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. Zbl 1327.15022 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; van Dooren, Paul 11 2016 A new perturbation bound for the LDU factorization of diagonally dominant matrices. Zbl 1306.65179 Dailey, Megan; Dopico, Froilán M.; Ye, Qiang 11 2014 First order eigenvalue perturbation theory and the Newton diagram. Zbl 1017.15008 Moro, Julio; Dopico, Froilán M. 11 2003 Sharp lower bounds for the dimension of linearizations of matrix polynomials. Zbl 1173.15014 De Teran, Fernando; Dopico, Froilan M. 11 2008 Complementary bases in symplectic matrices and a proof that their determinant is one. Zbl 1112.15002 Dopico, Froilán M.; Johnson, Charles R. 10 2006 Structured backward error analysis of linearized structured polynomial eigenvalue problems. Zbl 1408.65015 Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul 10 2019 Linearizations of Hermitian matrix polynomials preserving the sign characteristic. Zbl 1365.65093 Bueno, María I.; Dopico, Froilán M.; Furtado, Susana 9 2017 A note on \(\sin\Theta\) theorems for singular subspace variations. Zbl 0961.65034 Dopico, Froilán M. 9 2000 Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade. Zbl 1373.15017 Dmytryshyn, Andrii; Dopico, Froilán M. 9 2018 Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis. Zbl 1416.65095 Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C. 9 2019 Constructing strong \(\ell\)-ifications from dual minimal bases. Zbl 1333.65044 De Terán, Fernando; Dopico, Froilán M.; Van Dooren, Paul 9 2016 Perturbation theory for factorizations of LU type through series expansions. Zbl 1094.65021 Dopico, Froilán M.; Molera, Juan M. 9 2005 Parametrization of the matrix symplectic group and applications. Zbl 1193.15011 Dopico, Froilán M.; Johnson, Charles R. 9 2009 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127 Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 8 2016 On minimal bases and indices of rational matrices and their linearizations. Zbl 1472.15008 Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. 8 2021 A more accurate algorithm for computing the Christoffel transformation. Zbl 1120.65050 Bueno, María I.; Dopico, Froilán M. 8 2007 Structured eigenvalue condition numbers for parameterized quasiseparable matrices. Zbl 1364.65084 Dopico, Froilán M.; Pomés, Kenet 8 2016 Multiplicative perturbation theory of the Moore-Penrose inverse and the least squares problem. Zbl 1338.15011 Castro-González, Nieves; Dopico, Froilán M.; Molera, Juan M. 7 2016 Robustness and perturbations of minimal bases. Zbl 1415.15003 Van Dooren, Paul; Dopico, Froilán M. 7 2018 Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. Zbl 1279.65033 Dopico, Froilán M.; Olshevsky, Vadim; Zhlobich, Pavel 7 2013 Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. Zbl 1360.65133 Dopico, Froilán M.; Pomés, Kenet 7 2016 Block minimal bases \(\ell\)-ifications of matrix polynomials. Zbl 1404.65020 Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul 7 2019 New bounds for roots of polynomials based on Fiedler companion matrices. Zbl 1288.15010 De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 6 2014 Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices. Zbl 0957.15014 Dopico, Froilán M.; Moro, Julio; Molera, Juan M. 6 2000 Stability and sensitivity of tridiagonal LU factorization without pivoting. Zbl 1082.65033 Bueno, M. Isabel; Dopico, Froilán M. 5 2004 An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank. Zbl 1359.15006 De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. 5 2017 Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Zbl 1332.65050 Ferreira, Carla; Parlett, Beresford; Dopico, Froilán M. 5 2012 Multiple LU factorizations of a singular matrix. Zbl 1106.15009 Dopico, Froilán M.; Johnson, Charles R.; Molera, Juan M. 5 2006 First order spectral perturbation theory of square singular matrix polynomials. Zbl 1187.15013 de Terán, Fernando; Dopico, Froilán M. 5 2010 Generic symmetric matrix pencils with bounded rank. Zbl 1462.15017 De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. 5 2020 A comparison of eigenvalue condition numbers for matrix polynomials. Zbl 1407.15010 Anguas, Luis Miguel; Bueno, María Isabel; Dopico, Froilán M. 4 2019 A compact rational Krylov method for large-scale rational eigenvalue problems. Zbl 1524.65165 Dopico, Froilán M.; González-Pizarro, Javier 4 2019 Strongly minimal self-conjugate linearizations for polynomial and rational matrices. Zbl 1506.15013 Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul 4 2022 Computing matrix symmetrizers. II: New methods using eigendata and linear means; a comparison. Zbl 1337.65030 Dopico, Froilán; Uhlig, Frank 3 2016 Quasi-triangularization of matrix polynomials over arbitrary fields. Zbl 1514.15018 Anguas, L. M.; Dopico, F. M.; Hollister, R.; Mackey, D. S. 3 2023 Van Dooren’s index sum theorem and rational matrices with prescribed structural data. Zbl 1428.15016 Anguas, Luis M.; Dopico, FroiláN M.; Hollister, Richard; Mackey, D. Steven 3 2019 Linear system matrices of rational transfer functions. Zbl 1504.93037 Dopico, Froilán; Quintana, María Del Carmen; van Dooren, Paul 3 2022 Generic symmetric matrix polynomials with bounded rank and fixed odd grade. Zbl 1458.15015 De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. 3 2020 Eigenvalue condition numbers and pseudospectra of Fiedler matrices. Zbl 1372.65141 De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 2 2017 Stability and sensivity of Darboux transformation without parameter. Zbl 1065.65060 Bueno, M. Isabel; Dopico, Froilán M. 2 2004 Quadratic realizability of palindromic matrix polynomials. Zbl 07060483 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; Perović, Vasilije 2 2019 The inverse eigenvector problem for real tridiagonal matrices. Zbl 1338.65103 Parlett, Beresford; Dopico, Froilán M.; Ferreira, Carla 2 2016 Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. Zbl 1509.65029 Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul 2 2023 Bidiagonal decompositions of oscillating systems of vectors. Zbl 1143.15021 Dopico, Froilán M.; Koev, Plamen 2 2008 Block full rank linearizations of rational matrices. Zbl 1518.65032 Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul 2 2023 A note on multiplicative backward errors of accurate SVD algorithms. Zbl 1069.65042 Dopico, Froilán M.; Moro, Julio 1 2004 Minisymposium in honor of Miroslav Fiedler. Zbl 1280.00058 1 2013 Matrices with orthogonal groups admitting only determinant one. Zbl 1136.15008 Coakley, Edward S.; Dopico, Froilán M.; Johnson, Charles R. 1 2008 On bundles of matrix pencils under strict equivalence. Zbl 1507.15010 de Terán, Fernando; Dopico, Froilán M. 1 2023 Diagonal scalings for the eigenstructure of arbitrary pencils. Zbl 1498.15018 Dopico, Froilán M.; Quintana, María C.; van Dooren, Paul 1 2022 The \(\mathbb{DL}(P)\) vector space of pencils for singular matrix polynomials. Zbl 1525.65028 Dopico, Froilán M.; Noferini, Vanni 1 2023 Quasi-triangularization of matrix polynomials over arbitrary fields. Zbl 1514.15018 Anguas, L. M.; Dopico, F. M.; Hollister, R.; Mackey, D. S. 3 2023 Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. Zbl 1509.65029 Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul 2 2023 Block full rank linearizations of rational matrices. Zbl 1518.65032 Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul 2 2023 On bundles of matrix pencils under strict equivalence. Zbl 1507.15010 de Terán, Fernando; Dopico, Froilán M. 1 2023 The \(\mathbb{DL}(P)\) vector space of pencils for singular matrix polynomials. Zbl 1525.65028 Dopico, Froilán M.; Noferini, Vanni 1 2023 Strongly minimal self-conjugate linearizations for polynomial and rational matrices. Zbl 1506.15013 Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul 4 2022 Linear system matrices of rational transfer functions. Zbl 1504.93037 Dopico, Froilán; Quintana, María Del Carmen; van Dooren, Paul 3 2022 Diagonal scalings for the eigenstructure of arbitrary pencils. Zbl 1498.15018 Dopico, Froilán M.; Quintana, María C.; van Dooren, Paul 1 2022 On minimal bases and indices of rational matrices and their linearizations. Zbl 1472.15008 Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. 8 2021 Root polynomials and their role in the theory of matrix polynomials. Zbl 1439.15004 Dopico, Froilán M.; Noferini, Vanni 15 2020 Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems. Zbl 1453.65076 Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul 12 2020 Generic symmetric matrix pencils with bounded rank. Zbl 1462.15017 De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. 5 2020 Generic symmetric matrix polynomials with bounded rank and fixed odd grade. Zbl 1458.15015 De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. 3 2020 Structured backward error analysis of linearized structured polynomial eigenvalue problems. Zbl 1408.65015 Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul 10 2019 Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis. Zbl 1416.65095 Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C. 9 2019 Block minimal bases \(\ell\)-ifications of matrix polynomials. Zbl 1404.65020 Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul 7 2019 A comparison of eigenvalue condition numbers for matrix polynomials. Zbl 1407.15010 Anguas, Luis Miguel; Bueno, María Isabel; Dopico, Froilán M. 4 2019 A compact rational Krylov method for large-scale rational eigenvalue problems. Zbl 1524.65165 Dopico, Froilán M.; González-Pizarro, Javier 4 2019 Van Dooren’s index sum theorem and rational matrices with prescribed structural data. Zbl 1428.15016 Anguas, Luis M.; Dopico, FroiláN M.; Hollister, Richard; Mackey, D. Steven 3 2019 Quadratic realizability of palindromic matrix polynomials. Zbl 07060483 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; Perović, Vasilije 2 2019 Block Kronecker linearizations of matrix polynomials and their backward errors. Zbl 1416.65094 Dopico, Froilán M.; Lawrence, Piers W.; Pérez, Javier; Van Dooren, Paul 46 2018 Strong linearizations of rational matrices. Zbl 1431.65039 Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. 18 2018 A simplified approach to Fiedler-like pencils via block minimal bases pencils. Zbl 1392.65088 Bueno, M. I.; Dopico, F. M.; Pérez, J.; Saavedra, R.; Zykoski, B. 17 2018 A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error. Zbl 1416.65091 Bueno, M. I.; Dopico, F. M.; Furtado, S.; Medina, L. 11 2018 Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade. Zbl 1373.15017 Dmytryshyn, Andrii; Dopico, Froilán M. 9 2018 Robustness and perturbations of minimal bases. Zbl 1415.15003 Van Dooren, Paul; Dopico, Froilán M. 7 2018 Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree. Zbl 1375.15013 Dmytryshyn, Andrii; Dopico, Froilán M. 13 2017 Linearizations of Hermitian matrix polynomials preserving the sign characteristic. Zbl 1365.65093 Bueno, 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 1359.15006 De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. 5 2017 Eigenvalue condition numbers and pseudospectra of Fiedler matrices. Zbl 1372.65141 De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 2 2017 Generic change of the partial multiplicities of regular matrix pencils under low-rank perturbations. Zbl 1342.15004 De Terán, Fernando; Dopico, Froilán M. 21 2016 Backward stability of polynomial root-finding using Fiedler companion matrices. Zbl 1344.65048 De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 18 2016 Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. Zbl 1327.15022 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; van Dooren, Paul 11 2016 Constructing strong \(\ell\)-ifications from dual minimal bases. Zbl 1333.65044 De Terán, Fernando; Dopico, Froilán M.; Van Dooren, Paul 9 2016 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127 Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 8 2016 Structured eigenvalue condition numbers for parameterized quasiseparable matrices. Zbl 1364.65084 Dopico, Froilán M.; Pomés, Kenet 8 2016 Multiplicative perturbation theory of the Moore-Penrose inverse and the least squares problem. Zbl 1338.15011 Castro-González, Nieves; Dopico, Froilán M.; Molera, Juan M. 7 2016 Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. Zbl 1360.65133 Dopico, Froilán M.; Pomés, Kenet 7 2016 Computing matrix symmetrizers. II: New methods using eigendata and linear means; a comparison. Zbl 1337.65030 Dopico, Froilán; Uhlig, Frank 3 2016 The inverse eigenvector problem for real tridiagonal matrices. Zbl 1338.65103 Parlett, Beresford; Dopico, Froilán M.; Ferreira, Carla 2 2016 Matrix polynomials with completely prescribed eigenstructure. Zbl 1315.15021 De Terán, Fernando; Dopico, Froilán M.; van Dooren, Paul 28 2015 Large vector spaces of block-symmetric strong linearizations of matrix polynomials. Zbl 1312.65052 Bueno, M. I.; Dopico, F. M.; Furtado, S.; Rychnovsky, M. 22 2015 Spectral equivalence of matrix polynomials and the index sum theorem. Zbl 1297.65038 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 72 2014 Relative perturbation theory for diagonally dominant matrices. Zbl 1317.15019 Dailey, Megan; Dopico, Froilán M.; Ye, Qiang 11 2014 A new perturbation bound for the LDU factorization of diagonally dominant matrices. Zbl 1306.65179 Dailey, Megan; Dopico, Froilán M.; Ye, Qiang 11 2014 New bounds for roots of polynomials based on Fiedler companion matrices. Zbl 1288.15010 De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 6 2014 The solution of the equation \(AX + X^{\star}B =0\). Zbl 1264.15016 De Terán, Fernando; Dopico, Froilán M.; Guillery, Nathan; Montealegre, Daniel; Reyes, Nicolás 23 2013 Accurate solution of structured least squares problems via rank-revealing decompositions. Zbl 1296.65060 Castro-González, Nieves; Ceballos, Johan; Dopico, Froilán M.; Molera, Juan M. 17 2013 Condition numbers for inversion of Fiedler companion matrices. Zbl 1281.15004 De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier 13 2013 Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. Zbl 1279.65033 Dopico, Froilán M.; Olshevsky, Vadim; Zhlobich, Pavel 7 2013 Minisymposium in honor of Miroslav Fiedler. Zbl 1280.00058 1 2013 Fiedler companion linearizations for rectangular matrix polynomials. Zbl 1259.15031 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 34 2012 Accurate solution of structured linear systems via rank-revealing decompositions. Zbl 1251.65040 Dopico, Froilán M.; Molera, Juan M. 18 2012 Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Zbl 1332.65050 Ferreira, Carla; Parlett, Beresford; Dopico, Froilán M. 5 2012 Palindromic companion forms for matrix polynomials of odd degree. Zbl 1239.15010 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 31 2011 Consistency and efficient solution of the Sylvester equation for \(*\)-congruence. Zbl 1256.65035 De Teran, Fernando; Dopico, Froilan M. 31 2011 The solution of the equation \(XA+AX^T=0\) and its application to the theory of orbits. Zbl 1204.15022 De Terán, Fernando; Dopico, Froilán M. 30 2011 Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations. Zbl 1244.65051 Bueno, María I.; De Terán, Fernando; Dopico, Froilán M. 28 2011 Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. Zbl 1254.65042 Dopico, Froilán M.; Koev, Plamen 20 2011 The equation \(XA+AX^*=0\) and the dimension of *congruence orbits. Zbl 1223.15018 De Terán, Fernando; Dopico, Froilán M. 15 2011 Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024 de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 72 2010 First order spectral perturbation theory of square singular matrix polynomials. Zbl 1187.15013 de Terán, Fernando; Dopico, Froilán M. 5 2010 Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015 De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 42 2009 Implicit standard Jacobi gives high relative accuracy. Zbl 1223.65025 Dopico, Froilán M.; Koev, Plamen; Molera, Juan M. 18 2009 Low rank perturbation of regular matrix polynomials. Zbl 1190.15025 de Terán, Fernando; Dopico, Froilán M. 12 2009 Parametrization of the matrix symplectic group and applications. Zbl 1193.15011 Dopico, Froilán M.; Johnson, Charles R. 9 2009 Low rank perturbation of Weierstrass structure. Zbl 1163.15010 de Terán, Fernando; Dopico, Froilán M.; Moro, Julio 27 2008 A note on generic Kronecker orbits of matrix pencils with fixed rank. Zbl 1165.15012 de Terán, Fernando; Dopico, Froilán M. 15 2008 First order spectral perturbation theory of square singular matrix pencils. Zbl 1154.15012 de Terán, Fernando; Dopico, Froilán M.; Moro, Julio 13 2008 Sharp lower bounds for the dimension of linearizations of matrix polynomials. Zbl 1173.15014 De Teran, Fernando; Dopico, Froilan M. 11 2008 Bidiagonal decompositions of oscillating systems of vectors. Zbl 1143.15021 Dopico, Froilán M.; Koev, Plamen 2 2008 Matrices with orthogonal groups admitting only determinant one. Zbl 1136.15008 Coakley, Edward S.; Dopico, Froilán M.; Johnson, Charles R. 1 2008 Low rank perturbation of Kronecker structures without full rank. Zbl 1142.15010 de Terán, Fernando; Dopico, Froilán M. 31 2007 Accurate eigenvalues of certain sign regular matrices. Zbl 1117.65053 Koev, Plamen; Dopico, Froilán 19 2007 A more accurate algorithm for computing the Christoffel transformation. Zbl 1120.65050 Bueno, María I.; Dopico, Froilán M. 8 2007 Accurate symmetric rank revealing and eigendecompositions of symmetric structured matrices. Zbl 1124.65039 Dopico, Froilán M.; Koev, Plamen 15 2006 Complementary bases in symplectic matrices and a proof that their determinant is one. Zbl 1112.15002 Dopico, Froilán M.; Johnson, Charles R. 10 2006 Multiple LU factorizations of a singular matrix. Zbl 1106.15009 Dopico, Froilán M.; Johnson, Charles R.; Molera, Juan M. 5 2006 Perturbation theory for factorizations of LU type through series expansions. Zbl 1094.65021 Dopico, Froilán M.; Molera, Juan M. 9 2005 Stability and sensitivity of tridiagonal LU factorization without pivoting. Zbl 1082.65033 Bueno, M. Isabel; Dopico, Froilán M. 5 2004 Stability and sensivity of Darboux transformation without parameter. Zbl 1065.65060 Bueno, M. Isabel; Dopico, Froilán M. 2 2004 A note on multiplicative backward errors of accurate SVD algorithms. Zbl 1069.65042 Dopico, Froilán M.; Moro, Julio 1 2004 Low rank perturbation of Jordan structure. Zbl 1055.15017 Moro, Julio; Dopico, Froilán M. 37 2003 An orthogonal high relative accuracy algorithm for the symmetric eigenproblem. Zbl 1053.65024 Dopico, Froilán M.; Molera, Juan M.; Moro, Julio 16 2003 First order eigenvalue perturbation theory and the Newton diagram. Zbl 1017.15008 Moro, Julio; Dopico, Froilán M. 11 2003 A note on \(\sin\Theta\) theorems for singular subspace variations. Zbl 0961.65034 Dopico, Froilán M. 9 2000 Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices. Zbl 0957.15014 Dopico, Froilán M.; Moro, Julio; Molera, Juan M. 6 2000 all cited Publications top 5 cited Publications all top 5 Cited by 484 Authors 59 Dopico, Froilán M. 36 de Terán, Fernando 23 Noferini, Vanni 23 Van Dooren, Paul M. 18 Dmytryshyn, Andrii R. 18 Mehrmann, Volker 17 Mehl, Christian 17 Pérez, Javier J. 15 Mackey, D. Steven 10 Marcaida, Silvia 10 Robol, Leonardo 10 Wojtylak, Michał 9 Dodig, Marija 9 He, ZhuoHeng 9 Quintana, María C. 9 Ran, André C. M. 8 Alam, Rafikul 8 Poloni, Federico Giovanni 8 Stošić, Marko 8 Vandebril, Raf 8 Yang, Zhao 7 Baragaña, Itziar 7 Bueno, María Isabel 7 Hari, Vjeran 7 Sergeĭchuk, Volodymyr Vasyl’ovych 7 Wang, Qingwen 7 Zaballa, Ion 6 Amparan, Agurtzane 6 Behera, Namita 6 Furtado, Susana 6 Huang, Rong 6 Huang, Ting-Zhu 6 Roca, Alicia 5 Das, Ranjan Kumar 5 Del Corso, Gianna M. 5 Futorny, Vyacheslav M. 5 Kågström, Bo 5 Moro, Julio 5 Peña, Juan Manuel 5 Trunk, Carsten 5 Vander Meulen, Kevin N. 5 Wu, Chiye 5 Zhang, Yang 4 Anguas, Luis Miguel 4 Diao, Huaian 4 Drmač, Zlatko 4 Faßbender, Heike 4 Iannazzo, Bruno 4 Ikramov, Saidkhakim Dododshanovich 4 Kressner, Daniel 4 Lawrence, Piers W. 4 Meng, Lingsheng 4 Nakatsukasa, Yuji 4 Okša, Gabriel 4 Perović, Vasilije 4 Rodman, Leiba X. 4 Singer, Sanja 4 Singer, Saša 4 Vajteršic, Marián 4 Yamamoto, Yusaku 3 Aurentz, Jared Lee 3 Benner, Peter 3 Bora, Shreemayee 3 Corless, Robert Malcolm 3 Das, Biswajit 3 Dominici, Diego Ernesto 3 Gemignani, Luca 3 Gernandt, Hannes 3 Hernando, Carla 3 Klymchuk, Tetiana 3 Koev, Plamen 3 Li, Wen 3 Mach, Thomas 3 Mackey, Niloufer 3 Martínez Pería, Francisco D. 3 Meng, Qingle 3 Plestenjak, Bor 3 Saltenberger, Philip 3 Sogabe, Tomohiro 3 Song, Caiqin 3 Sosa, Fredy 3 Townsend, Alex 3 Watkins, David S. 3 Xu, Qingxiang 3 Ye, Qiang 3 Zhang, Shao-Liang 2 Abalos, Fernando 2 Adhikari, Bibhas 2 Antoniou, Efstathios N. 2 Barbarino, Giovanni 2 Barreras, Alvaro 2 Bečka, Martin 2 Begović Kovač, Erna 2 Berger, Thomas 2 Bevilacqua, Roberto 2 Borobia, Alberto 2 Caalim, Jonathan V. 2 Canogar, Roberto 2 Cantó, Rafael 2 Chan, Eunice Y. S. ...and 384 more Authors all top 5 Cited in 89 Serials 136 Linear Algebra and its Applications 58 SIAM Journal on Matrix Analysis and Applications 22 Linear and Multilinear Algebra 22 Journal of Computational and Applied Mathematics 15 ELA. The Electronic Journal of Linear Algebra 13 BIT 12 Numerische Mathematik 12 Numerical Linear Algebra with Applications 11 Mathematics of Computation 11 Calcolo 9 Numerical Algorithms 8 Applied Mathematics and Computation 4 Journal of Computational Physics 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 SIAM Journal on Scientific Computing 4 Computational and Applied Mathematics 4 ETNA. Electronic Transactions on Numerical Analysis 4 Foundations of Computational Mathematics 3 Journal of the Franklin Institute 3 Ukrainian Mathematical Journal 3 Automatica 3 Filomat 3 S\(\vec{\text{e}}\)MA Journal 2 The Annals of Statistics 2 Czechoslovak Mathematical Journal 2 Integral Equations and Operator Theory 2 Results in Mathematics 2 SIAM Journal on Numerical Analysis 2 Journal of Theoretical Probability 2 Applied Mathematics Letters 2 MCSS. Mathematics of Control, Signals, and Systems 2 Computational Mathematics and Mathematical Physics 2 Automation and Remote Control 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Advances in Computational 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 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 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 Multidimensional Systems and Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 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 Ars Mathematica Contemporanea 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 1 Communications on Analysis and Computation all top 5 Cited in 37 Fields 359 Linear and multilinear algebra; matrix theory (15-XX) 258 Numerical analysis (65-XX) 56 Operator theory (47-XX) 40 Systems theory; control (93-XX) 12 Ordinary differential equations (34-XX) 11 Combinatorics (05-XX) 10 Computer science (68-XX) 8 Partial differential equations (35-XX) 7 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Special functions (33-XX) 5 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Operations research, mathematical programming (90-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 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 Differential geometry (53-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