De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. Generic eigenstructures of Hermitian pencils. (English) Zbl 07791527 SIAM J. Matrix Anal. Appl. 45, No. 1, 260-283 (2024). Reviewer: Roksana Słowik (Gliwice) MSC: 15A22 15A18 15A21 15B57 PDFBibTeX XMLCite \textit{F. De Terán} et al., SIAM J. Matrix Anal. Appl. 45, No. 1, 260--283 (2024; Zbl 07791527) Full Text: DOI arXiv
De Terán, Fernando; Dopico, Froilán M.; Koval, Vadym; Pagacz, Patryk On bundle closures of matrix pencils and matrix polynomials. arXiv:2402.16702 Preprint, arXiv:2402.16702 [math.NA] (2024). MSC: 15A18 15A21 15A22 15A54 65F15 BibTeX Cite \textit{F. De Terán} et al., ``On bundle closures of matrix pencils and matrix polynomials'', Preprint, arXiv:2402.16702 [math.NA] (2024) Full Text: arXiv OA License
Dopico, Froilán M.; Noferini, Vanni The \(\mathbb{DL}(P)\) vector space of pencils for singular matrix polynomials. (English) Zbl 1525.65028 Linear Algebra Appl. 677, 88-131 (2023). MSC: 65F15 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{V. Noferini}, Linear Algebra Appl. 677, 88--131 (2023; Zbl 1525.65028) Full Text: DOI arXiv
Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul Block full rank linearizations of rational matrices. (English) Zbl 1518.65032 Linear Multilinear Algebra 71, No. 3, 391-421 (2023). MSC: 65F15 15A18 15A22 15A54 93B18 93B20 93B60 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Linear Multilinear Algebra 71, No. 3, 391--421 (2023; Zbl 1518.65032) Full Text: DOI arXiv
Anguas, L. M.; Dopico, F. M.; Hollister, R.; Mackey, D. S. Quasi-triangularization of matrix polynomials over arbitrary fields. (English) Zbl 1514.15018 Linear Algebra Appl. 665, 61-106 (2023). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15A18 15A29 15A54 PDFBibTeX XMLCite \textit{L. M. Anguas} et al., Linear Algebra Appl. 665, 61--106 (2023; Zbl 1514.15018) Full Text: DOI arXiv
Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. (English) Zbl 1509.65029 Calcolo 60, No. 1, Paper No. 7, 45 p. (2023). MSC: 65F15 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Calcolo 60, No. 1, Paper No. 7, 45 p. (2023; Zbl 1509.65029) Full Text: DOI arXiv
de Terán, Fernando; Dopico, Froilán M. On bundles of matrix pencils under strict equivalence. (English) Zbl 1507.15010 Linear Algebra Appl. 658, 1-31 (2023). Reviewer: John D. Dixon (Ottawa) MSC: 15A22 15A18 15A21 15A54 PDFBibTeX XMLCite \textit{F. de Terán} and \textit{F. M. Dopico}, Linear Algebra Appl. 658, 1--31 (2023; Zbl 1507.15010) Full Text: DOI arXiv
De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. Even grade generic skew-symmetric matrix polynomials with bounded rank. arXiv:2312.16672 Preprint, arXiv:2312.16672 [math.RT] (2023). MSC: 15A18 15A21 BibTeX Cite \textit{F. De Terán} et al., ``Even grade generic skew-symmetric matrix polynomials with bounded rank'', Preprint, arXiv:2312.16672 [math.RT] (2023) Full Text: arXiv OA License
Dmytryshyn, Andrii; Dopico, Froilán; Van Dooren, Paul Minimal rank factorizations of polynomial matrices. arXiv:2312.00676 Preprint, arXiv:2312.00676 [math.NA] (2023). MSC: 15A18 15A22 15A23 15A54 BibTeX Cite \textit{A. Dmytryshyn} et al., ``Minimal rank factorizations of polynomial matrices'', Preprint, arXiv:2312.00676 [math.NA] (2023) Full Text: arXiv OA License
Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul Strongly minimal self-conjugate linearizations for polynomial and rational matrices. (English) Zbl 1506.15013 SIAM J. Matrix Anal. Appl. 43, No. 3, 1354-1381 (2022). MSC: 15A21 15A18 15A22 15A54 15B57 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1354--1381 (2022; Zbl 1506.15013) Full Text: DOI arXiv
Dopico, Froilán M.; Quintana, María C.; van Dooren, Paul Diagonal scalings for the eigenstructure of arbitrary pencils. (English) Zbl 1498.15018 SIAM J. Matrix Anal. Appl. 43, No. 3, 1213-1237 (2022). Reviewer: Ctirad Matonoha (Praha) MSC: 15A22 15A18 65F15 65F35 65F22 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1213--1237 (2022; Zbl 1498.15018) Full Text: DOI arXiv
Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul Linearizations of matrix polynomials viewed as Rosenbrock’s system matrices. arXiv:2211.09056 Preprint, arXiv:2211.09056 [math.NA] (2022). MSC: 15A22 15A54 93B18 93C05 BibTeX Cite \textit{F. M. Dopico} et al., ``Linearizations of matrix polynomials viewed as Rosenbrock's system matrices'', Preprint, arXiv:2211.09056 [math.NA] (2022) Full Text: arXiv OA License
Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. On minimal bases and indices of rational matrices and their linearizations. (English) Zbl 1472.15008 Linear Algebra Appl. 623, 14-67 (2021). MSC: 15A18 15A22 15A54 93B18 93B20 93B60 65F15 PDFBibTeX XMLCite \textit{A. Amparan} et al., Linear Algebra Appl. 623, 14--67 (2021; Zbl 1472.15008) Full Text: DOI arXiv
Dopico, Froilán (ed.); Kressner, Daniel (ed.); Mastronardi, Nicola (ed.); Mehrmann, Volker (ed.); Vandebril, Raf (ed.) Preface. (English) Zbl 1461.01016 Linear Algebra Appl. 623, 1-13 (2021). MSC: 01A70 00B30 15-06 65-06 PDFBibTeX XMLCite \textit{F. Dopico} (ed.) et al., Linear Algebra Appl. 623, 1--13 (2021; Zbl 1461.01016) Full Text: DOI
De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. Generic symmetric matrix pencils with bounded rank. (English) Zbl 1462.15017 J. Spectr. Theory 10, No. 3, 905-926 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15A22 15A18 15A21 PDFBibTeX XMLCite \textit{F. De Terán} et al., J. Spectr. Theory 10, No. 3, 905--926 (2020; Zbl 1462.15017) Full Text: DOI arXiv
De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. Generic symmetric matrix polynomials with bounded rank and fixed odd grade. (English) Zbl 1458.15015 SIAM J. Matrix Anal. Appl. 41, No. 3, 1033-1058 (2020). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 15A03 15A21 15A22 47A56 65F15 PDFBibTeX XMLCite \textit{F. De Terán} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 1033--1058 (2020; Zbl 1458.15015) Full Text: DOI arXiv
Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems. (English) Zbl 1453.65076 Linear Algebra Appl. 604, 441-475 (2020). MSC: 65F15 15A18 15A22 93B18 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Linear Algebra Appl. 604, 441--475 (2020; Zbl 1453.65076) Full Text: DOI arXiv
Anguas, Luis Miguel; Bueno, Maria Isabel; Dopico, Froilán M. Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations. (English) Zbl 1427.65045 Math. Comput. 89, No. 322, 767-805 (2020). MSC: 65F15 65F35 15A18 15A22 PDFBibTeX XMLCite \textit{L. M. Anguas} et al., Math. Comput. 89, No. 322, 767--805 (2020; Zbl 1427.65045) Full Text: DOI arXiv
Dopico, Froilán M.; Noferini, Vanni Root polynomials and their role in the theory of matrix polynomials. (English) Zbl 1439.15004 Linear Algebra Appl. 584, 37-78 (2020). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 15A21 15A03 15A18 15A54 15A16 15A15 65H04 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{V. Noferini}, Linear Algebra Appl. 584, 37--78 (2020; Zbl 1439.15004) Full Text: DOI Link
Dopico, F. M.; Sanz-Serna, J. M. Norms, real matrices, complex vectors. (Spanish) Zbl 1452.15011 Gac. R. Soc. Mat. Esp. 22, No. 3, 514 (2019). MSC: 15A60 15A03 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{J. M. Sanz-Serna}, Gac. R. Soc. Mat. Esp. 22, No. 3, 514 (2019; Zbl 1452.15011)
Anguas, Luis M.; Dopico, FroiláN M.; Hollister, Richard; Mackey, D. Steven Van Dooren’s index sum theorem and rational matrices with prescribed structural data. (English) Zbl 1428.15016 SIAM J. Matrix Anal. Appl. 40, No. 2, 720-738 (2019). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A29 65F18 93B55 93B60 PDFBibTeX XMLCite \textit{L. M. Anguas} et al., SIAM J. Matrix Anal. Appl. 40, No. 2, 720--738 (2019; Zbl 1428.15016) Full Text: DOI
Dopico, Froilán M.; Van Dooren, Paul Robustness and perturbations of minimal bases. II: The case with given row degrees. (English) Zbl 1415.15002 Linear Algebra Appl. 576, 268-300 (2019). MSC: 15A03 15A54 15A60 15B05 65F15 65F35 93B18 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{P. Van Dooren}, Linear Algebra Appl. 576, 268--300 (2019; Zbl 1415.15002) Full Text: DOI arXiv Link
Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C. Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis. (English) Zbl 1416.65095 Linear Algebra Appl. 570, 1-45 (2019). MSC: 65F15 15A18 15A22 15A54 93B18 93B20 93B60 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Linear Algebra Appl. 570, 1--45 (2019; Zbl 1416.65095) Full Text: DOI arXiv Link
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; Perović, Vasilije Quadratic realizability of palindromic matrix polynomials. (English) Zbl 07060483 Linear Algebra Appl. 567, 202-262 (2019). MSC: 65F15 15A18 15A21 15A22 15A54 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 567, 202--262 (2019; Zbl 07060483) Full Text: DOI Link
Dopico, Froilán M.; González-Pizarro, Javier A compact rational Krylov method for large-scale rational eigenvalue problems. (English) Zbl 1524.65165 Numer. Linear Algebra Appl. 26, No. 1, e2214, 26 p. (2019). MSC: 65F15 65F50 15A22 15A18 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{J. González-Pizarro}, Numer. Linear Algebra Appl. 26, No. 1, e2214, 26 p. (2019; Zbl 1524.65165) Full Text: DOI arXiv
Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul Structured backward error analysis of linearized structured polynomial eigenvalue problems. (English) Zbl 1408.65015 Math. Comput. 88, No. 317, 1189-1228 (2019). Reviewer: John D. Dixon (Ottawa) MSC: 65F15 15A18 15A21 15A22 15A54 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Math. Comput. 88, No. 317, 1189--1228 (2019; Zbl 1408.65015) Full Text: DOI arXiv
Anguas, Luis Miguel; Bueno, María Isabel; Dopico, Froilán M. A comparison of eigenvalue condition numbers for matrix polynomials. (English) Zbl 1407.15010 Linear Algebra Appl. 564, 170-200 (2019). MSC: 15A18 15A22 65F15 65F35 PDFBibTeX XMLCite \textit{L. M. Anguas} et al., Linear Algebra Appl. 564, 170--200 (2019; Zbl 1407.15010) Full Text: DOI arXiv Link
Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul Block minimal bases \(\ell\)-ifications of matrix polynomials. (English) Zbl 1404.65020 Linear Algebra Appl. 562, 163-204 (2019). MSC: 65F15 15A18 15A21 15A22 15A54 93B18 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Linear Algebra Appl. 562, 163--204 (2019; Zbl 1404.65020) Full Text: DOI arXiv Link
Van Dooren, Paul; Dopico, Froilán M. Robustness and perturbations of minimal bases. (English) Zbl 1415.15003 Linear Algebra Appl. 542, 246-281 (2018). MSC: 15A03 15A54 15A60 15B05 65F15 65F35 93B18 PDFBibTeX XMLCite \textit{P. Van Dooren} and \textit{F. M. Dopico}, Linear Algebra Appl. 542, 246--281 (2018; Zbl 1415.15003) Full Text: DOI arXiv
Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. Strong linearizations of rational matrices. (English) Zbl 1431.65039 SIAM J. Matrix Anal. Appl. 39, No. 4, 1670-1700 (2018). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 15A22 15A54 93B18 93B20 93B60 PDFBibTeX XMLCite \textit{A. Amparan} et al., SIAM J. Matrix Anal. Appl. 39, No. 4, 1670--1700 (2018; Zbl 1431.65039) Full Text: DOI
Bueno, M. I.; Dopico, F. M.; Furtado, S.; Medina, L. A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error. (English) Zbl 1416.65091 Calcolo 55, No. 3, Paper No. 32, 43 p. (2018). MSC: 65F15 65F35 15A54 PDFBibTeX XMLCite \textit{M. I. Bueno} et al., Calcolo 55, No. 3, Paper No. 32, 43 p. (2018; Zbl 1416.65091) Full Text: DOI Link
Dopico, Froilán M.; Lawrence, Piers W.; Pérez, Javier; Van Dooren, Paul Block Kronecker linearizations of matrix polynomials and their backward errors. (English) Zbl 1416.65094 Numer. Math. 140, No. 2, 373-426 (2018). MSC: 65F15 65F35 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Numer. Math. 140, No. 2, 373--426 (2018; Zbl 1416.65094) Full Text: DOI arXiv
Bueno, M. I.; Dopico, F. M.; Pérez, J.; Saavedra, R.; Zykoski, B. A simplified approach to Fiedler-like pencils via block minimal bases pencils. (English) Zbl 1392.65088 Linear Algebra Appl. 547, 45-104 (2018). MSC: 65F15 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{M. I. Bueno} et al., Linear Algebra Appl. 547, 45--104 (2018; Zbl 1392.65088) Full Text: DOI arXiv
Dmytryshyn, Andrii; Dopico, Froilán M. Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade. (English) Zbl 1373.15017 Linear Algebra Appl. 536, 1-18 (2018). MSC: 15A18 15A21 PDFBibTeX XMLCite \textit{A. Dmytryshyn} and \textit{F. M. Dopico}, Linear Algebra Appl. 536, 1--18 (2018; Zbl 1373.15017) Full Text: DOI arXiv
Dmytryshyn, Andrii; Dopico, Froilán M. Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree. (English) Zbl 1375.15013 Linear Algebra Appl. 535, 213-230 (2017). MSC: 15A18 15A21 15A54 15A03 PDFBibTeX XMLCite \textit{A. Dmytryshyn} and \textit{F. M. Dopico}, Linear Algebra Appl. 535, 213--230 (2017; Zbl 1375.15013) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier Eigenvalue condition numbers and pseudospectra of Fiedler matrices. (English) Zbl 1372.65141 Calcolo 54, No. 1, 319-365 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65H04 65F15 65F35 15A12 PDFBibTeX XMLCite \textit{F. De Terán} et al., Calcolo 54, No. 1, 319--365 (2017; Zbl 1372.65141) Full Text: DOI Link
Bueno, María I.; Dopico, Froilán M.; Furtado, Susana Linearizations of Hermitian matrix polynomials preserving the sign characteristic. (English) Zbl 1365.65093 SIAM J. Matrix Anal. Appl. 38, No. 1, 249-272 (2017). MSC: 65F15 15A54 15A22 PDFBibTeX XMLCite \textit{M. I. Bueno} et al., SIAM J. Matrix Anal. Appl. 38, No. 1, 249--272 (2017; Zbl 1365.65093) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank. (English) Zbl 1359.15006 Linear Algebra Appl. 520, 80-103 (2017). MSC: 15A22 15A21 15A03 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 520, 80--103 (2017; Zbl 1359.15006) Full Text: DOI arXiv
Bueno, M. I.; Dopico, F. M.; Furtado, S.; Medina, L. Conditioning and backward error of block-symmetric block-tridiagonal linearizations of matrix polynomials. arXiv:1706.04150 Preprint, arXiv:1706.04150 [math.NA] (2017). MSC: 65F15 65F35 15A18 15A22 BibTeX Cite \textit{M. I. Bueno} et al., ``Conditioning and backward error of block-symmetric block-tridiagonal linearizations of matrix polynomials'', Preprint, arXiv:1706.04150 [math.NA] (2017) Full Text: arXiv OA License
Dopico, Froilán M.; Pomés, Kenet Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. (English) Zbl 1360.65133 Numer. Algorithms 73, No. 4, 1131-1158 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F35 65F05 15A06 15A12 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{K. Pomés}, Numer. Algorithms 73, No. 4, 1131--1158 (2016; Zbl 1360.65133) Full Text: DOI Link
De Terán, Fernando; Dopico, Froilán M. Generic change of the partial multiplicities of regular matrix pencils under low-rank perturbations. (English) Zbl 1342.15004 SIAM J. Matrix Anal. Appl. 37, No. 3, 823-835 (2016). MSC: 15A22 15A18 15A21 65F15 PDFBibTeX XMLCite \textit{F. De Terán} and \textit{F. M. Dopico}, SIAM J. Matrix Anal. Appl. 37, No. 3, 823--835 (2016; Zbl 1342.15004) Full Text: DOI
Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria Projection methods for large-scale T-Sylvester equations. (English) Zbl 1352.65127 Math. Comput. 85, No. 301, 2427-2455 (2016). Reviewer: Edgar Pereira (Natal) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Math. Comput. 85, No. 301, 2427--2455 (2016; Zbl 1352.65127) Full Text: DOI Link
Dopico, Froilán; Uhlig, Frank Computing matrix symmetrizers. II: New methods using eigendata and linear means; a comparison. (English) Zbl 1337.65030 Linear Algebra Appl. 504, 590-622 (2016). MSC: 65F10 65J10 15A23 15B57 PDFBibTeX XMLCite \textit{F. Dopico} and \textit{F. Uhlig}, Linear Algebra Appl. 504, 590--622 (2016; Zbl 1337.65030) Full Text: DOI
Castro-González, Nieves; Dopico, Froilán M.; Molera, Juan M. Multiplicative perturbation theory of the Moore-Penrose inverse and the least squares problem. (English) Zbl 1338.15011 Linear Algebra Appl. 503, 1-25 (2016). MSC: 15A09 15A12 65F35 PDFBibTeX XMLCite \textit{N. Castro-González} et al., Linear Algebra Appl. 503, 1--25 (2016; Zbl 1338.15011) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Van Dooren, Paul Constructing strong \(\ell\)-ifications from dual minimal bases. (English) Zbl 1333.65044 Linear Algebra Appl. 495, 344-372 (2016). MSC: 65F30 15A54 15A18 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 495, 344--372 (2016; Zbl 1333.65044) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; van Dooren, Paul Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. (English) Zbl 1327.15022 Linear Algebra Appl. 488, 460-504 (2016). MSC: 15A21 15A29 15A54 15B99 93B18 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 488, 460--504 (2016; Zbl 1327.15022) Full Text: DOI
Dmytryshyn, Andrii; Dopico, Froilán M. Generic matrix polynomials with fixed rank and fixed degree. arXiv:1612.04085 Preprint, arXiv:1612.04085 [math.NA] (2016). MSC: 15A18 15A21 BibTeX Cite \textit{A. Dmytryshyn} and \textit{F. M. Dopico}, ``Generic matrix polynomials with fixed rank and fixed degree'', Preprint, arXiv:1612.04085 [math.NA] (2016) Full Text: arXiv OA License
De Terán, Fernando; Dopico, Froilán M.; van Dooren, Paul Matrix polynomials with completely prescribed eigenstructure. (English) Zbl 1315.15021 SIAM J. Matrix Anal. Appl. 36, No. 1, 302-328 (2015). MSC: 15A54 15A18 15A29 65F18 PDFBibTeX XMLCite \textit{F. De Terán} et al., SIAM J. Matrix Anal. Appl. 36, No. 1, 302--328 (2015; Zbl 1315.15021) Full Text: DOI Link
Bueno, M. I.; Dopico, F. M.; Furtado, S.; Rychnovsky, M. Large vector spaces of block-symmetric strong linearizations of matrix polynomials. (English) Zbl 1312.65052 Linear Algebra Appl. 477, 165-210 (2015). MSC: 65F15 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{M. I. Bueno} et al., Linear Algebra Appl. 477, 165--210 (2015; Zbl 1312.65052) Full Text: DOI
Dailey, Megan; Dopico, Froilán M.; Ye, Qiang Relative perturbation theory for diagonally dominant matrices. (English) Zbl 1317.15019 SIAM J. Matrix Anal. Appl. 35, No. 4, 1303-1328 (2014). Reviewer: C. M. da Fonseca (Safat) MSC: 15A42 65F05 65F15 65F35 15A09 15A12 15A18 PDFBibTeX XMLCite \textit{M. Dailey} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1303--1328 (2014; Zbl 1317.15019) Full Text: DOI Link
Dailey, Megan; Dopico, Froilán M.; Ye, Qiang A new perturbation bound for the LDU factorization of diagonally dominant matrices. (English) Zbl 1306.65179 SIAM J. Matrix Anal. Appl. 35, No. 3, 904-930 (2014). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65F10 65F05 15A23 PDFBibTeX XMLCite \textit{M. Dailey} et al., SIAM J. Matrix Anal. Appl. 35, No. 3, 904--930 (2014; Zbl 1306.65179) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven Spectral equivalence of matrix polynomials and the index sum theorem. (English) Zbl 1297.65038 Linear Algebra Appl. 459, 264-333 (2014). MSC: 65F15 15A18 15A21 15A22 15A54 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 459, 264--333 (2014; Zbl 1297.65038) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier New bounds for roots of polynomials based on Fiedler companion matrices. (English) Zbl 1288.15010 Linear Algebra Appl. 451, 197-230 (2014). MSC: 15A18 15A60 15B99 65F15 65F35 65H04 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 451, 197--230 (2014; Zbl 1288.15010) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier Condition numbers for inversion of Fiedler companion matrices. (English) Zbl 1281.15004 Linear Algebra Appl. 439, No. 4, 944-981 (2013). MSC: 15A12 15A18 15B99 65F35 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 439, No. 4, 944--981 (2013; Zbl 1281.15004) Full Text: DOI
Bapat, Ravindra (ed.); Bollhöfer, Matthias (ed.); Fassbender, Heike (ed.); Dopico, Froilan (ed.) Minisymposium in honor of Miroslav Fiedler. (English) Zbl 1280.00058 Linear Algebra Appl. 439, No. 4, 809 (2013). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{R. Bapat} (ed.) et al., Linear Algebra Appl. 439, No. 4, 809 (2013; Zbl 1280.00058) Full Text: DOI
Bollhöfer, Matthias (ed.); Faßbender, Heike (ed.); Bapat, Ravi (ed.); Dopico, Froilán M. (ed.) Preface to the 17th ILAS conference ‘Pure and applied linear algebra: the new generation’, Proceedings, Braunschweig, Germany, 2011. (English) Zbl 1280.00062 Linear Algebra Appl. 439, No. 4, 807-808 (2013). MSC: 00B25 15-06 15Axx PDFBibTeX XMLCite \textit{M. Bollhöfer} (ed.) et al., Linear Algebra Appl. 439, No. 4, 807--808 (2013; Zbl 1280.00062) Full Text: DOI
Dopico, Froilán M.; Olshevsky, Vadim; Zhlobich, Pavel Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. (English) Zbl 1279.65033 Math. Comput. 82, No. 284, 2007-2034 (2013). Reviewer: Martin Plešinger (Liberec) MSC: 65F05 65G50 15A23 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Math. Comput. 82, No. 284, 2007--2034 (2013; Zbl 1279.65033) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Guillery, Nathan; Montealegre, Daniel; Reyes, Nicolás The solution of the equation \(AX + X^{\star}B =0\). (English) Zbl 1264.15016 Linear Algebra Appl. 438, No. 7, 2817-2860 (2013). Reviewer: Ludwig Kohaupt (Berlin) MSC: 15A24 15A21 15A22 15A18 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 438, No. 7, 2817--2860 (2013; Zbl 1264.15016) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven Fiedler companion linearizations for rectangular matrix polynomials. (English) Zbl 1259.15031 Linear Algebra Appl. 437, No. 3, 957-991 (2012). Reviewer: Edgar Pereira (Natal) MSC: 15A54 65F15 15A18 15A22 47H60 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 437, No. 3, 957--991 (2012; Zbl 1259.15031) Full Text: DOI
De Teran, Fernando; Dopico, Froilan M. Consistency and efficient solution of the Sylvester equation for \(*\)-congruence. (English) Zbl 1256.65035 Electron. J. Linear Algebra 22, 849-863 (2011). MSC: 65F30 65F05 65F15 15A24 PDFBibTeX XMLCite \textit{F. De Teran} and \textit{F. M. Dopico}, Electron. J. Linear Algebra 22, 849--863 (2011; Zbl 1256.65035) Full Text: EMIS
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven Palindromic companion forms for matrix polynomials of odd degree. (English) Zbl 1239.15010 J. Comput. Appl. Math. 236, No. 6, 1464-1480 (2011). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A18 15A54 15A22 PDFBibTeX XMLCite \textit{F. De Terán} et al., J. Comput. Appl. Math. 236, No. 6, 1464--1480 (2011; Zbl 1239.15010) Full Text: DOI
Dopico, Froilán M.; Koev, Plamen Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. (English) Zbl 1254.65042 Numer. Math. 119, No. 2, 337-371 (2011). Reviewer: Hu Yong-Jian (Beijing) MSC: 65F05 65F30 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{P. Koev}, Numer. Math. 119, No. 2, 337--371 (2011; Zbl 1254.65042) Full Text: DOI
Bueno, María I.; De Terán, Fernando; Dopico, Froilán M. Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations. (English) Zbl 1244.65051 SIAM J. Matrix Anal. Appl. 32, No. 2, 463-483 (2011). Reviewer: Ludwig Elsner (Bielefeld) MSC: 65F15 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{M. I. Bueno} et al., SIAM J. Matrix Anal. Appl. 32, No. 2, 463--483 (2011; Zbl 1244.65051) Full Text: DOI Link
De Terán, Fernando; Dopico, Froilán M. The equation \(XA+AX^*=0\) and the dimension of *congruence orbits. (English) Zbl 1223.15018 Electron. J. Linear Algebra 22, 448-465 (2011). MSC: 15A24 15A21 15A22 PDFBibTeX XMLCite \textit{F. De Terán} and \textit{F. M. Dopico}, Electron. J. Linear Algebra 22, 448--465 (2011; Zbl 1223.15018) Full Text: EuDML EMIS
De Terán, Fernando; Dopico, Froilán M. The solution of the equation \(XA+AX^T=0\) and its application to the theory of orbits. (English) Zbl 1204.15022 Linear Algebra Appl. 434, No. 1, 44-67 (2011). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A21 15A09 PDFBibTeX XMLCite \textit{F. De Terán} and \textit{F. M. Dopico}, Linear Algebra Appl. 434, No. 1, 44--67 (2011; Zbl 1204.15022) Full Text: DOI
de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven Fiedler companion linearizations and the recovery of minimal indices. (English) Zbl 1205.15024 SIAM J. Matrix Anal. Appl. 31, No. 4, 2181-2204 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 15A22 15A18 15A21 15A54 PDFBibTeX XMLCite \textit{F. de Terán} et al., SIAM J. Matrix Anal. Appl. 31, No. 4, 2181--2204 (2010; Zbl 1205.15024) Full Text: DOI Link
de Terán, Fernando; Dopico, Froilán M. First order spectral perturbation theory of square singular matrix polynomials. (English) Zbl 1187.15013 Linear Algebra Appl. 432, No. 4, 892-910 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A18 47A55 15A22 15A54 47A56 PDFBibTeX XMLCite \textit{F. de Terán} and \textit{F. M. Dopico}, Linear Algebra Appl. 432, No. 4, 892--910 (2010; Zbl 1187.15013) Full Text: DOI
Dopico, Froilán M.; Johnson, Charles R. Parametrization of the matrix symplectic group and applications. (English) Zbl 1193.15011 SIAM J. Matrix Anal. Appl. 31, No. 2, 650-673 (2009). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A23 15A24 15B48 15B57 65F15 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{C. R. Johnson}, SIAM J. Matrix Anal. Appl. 31, No. 2, 650--673 (2009; Zbl 1193.15011) Full Text: DOI Link
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven Linearizations of singular matrix polynomials and the recovery of minimal indices. (English) Zbl 1190.15015 Electron. J. Linear Algebra 18, 371-402 (2009). MSC: 15A22 15A18 15A21 65F15 PDFBibTeX XMLCite \textit{F. De Terán} et al., Electron. J. Linear Algebra 18, 371--402 (2009; Zbl 1190.15015) Full Text: EuDML EMIS
Dopico, Froilán M.; Koev, Plamen; Molera, Juan M. Implicit standard Jacobi gives high relative accuracy. (English) Zbl 1223.65025 Numer. Math. 113, No. 4, 519-553 (2009). MSC: 65F15 15B57 15A12 65F35 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Numer. Math. 113, No. 4, 519--553 (2009; Zbl 1223.65025) Full Text: DOI
de Terán, Fernando; Dopico, Froilán M. Low rank perturbation of regular matrix polynomials. (English) Zbl 1190.15025 Linear Algebra Appl. 430, No. 1, 579-586 (2009). Reviewer: Jinhai Chen (Hongkong) MSC: 15A54 15A18 15A21 PDFBibTeX XMLCite \textit{F. de Terán} and \textit{F. M. Dopico}, Linear Algebra Appl. 430, No. 1, 579--586 (2009; Zbl 1190.15025) Full Text: DOI
De Teran, Fernando; Dopico, Froilan M. Sharp lower bounds for the dimension of linearizations of matrix polynomials. (English) Zbl 1173.15014 Electron. J. Linear Algebra 17, 518-531 (2008). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A54 15A18 15A21 15A22 65F15 PDFBibTeX XMLCite \textit{F. De Teran} and \textit{F. M. Dopico}, Electron. J. Linear Algebra 17, 518--531 (2008; Zbl 1173.15014) Full Text: DOI EuDML EMIS
de Terán, Fernando; Dopico, Froilán M.; Moro, Julio Low rank perturbation of Weierstrass structure. (English) Zbl 1163.15010 SIAM J. Matrix Anal. Appl. 30, No. 2, 538-547 (2008). Reviewer: Grozio Stanilov (Sofia) MSC: 15A22 15A18 15A21 PDFBibTeX XMLCite \textit{F. de Terán} et al., SIAM J. Matrix Anal. Appl. 30, No. 2, 538--547 (2008; Zbl 1163.15010) Full Text: DOI
de Terán, Fernando; Dopico, Froilán M. A note on generic Kronecker orbits of matrix pencils with fixed rank. (English) Zbl 1165.15012 SIAM J. Matrix Anal. Appl. 30, No. 2, 491-496 (2008). Reviewer: Sheng Chen (Harbin) MSC: 15A21 15A22 PDFBibTeX XMLCite \textit{F. de Terán} and \textit{F. M. Dopico}, SIAM J. Matrix Anal. Appl. 30, No. 2, 491--496 (2008; Zbl 1165.15012) Full Text: DOI
de Terán, Fernando; Dopico, Froilán M.; Moro, Julio First order spectral perturbation theory of square singular matrix pencils. (English) Zbl 1154.15012 Linear Algebra Appl. 429, No. 2-3, 548-576 (2008). Reviewer: E. Kreyszig (Ottawa) MSC: 15A18 15A22 PDFBibTeX XMLCite \textit{F. de Terán} et al., Linear Algebra Appl. 429, No. 2--3, 548--576 (2008; Zbl 1154.15012) Full Text: DOI
Dopico, Froilán M.; Koev, Plamen Bidiagonal decompositions of oscillating systems of vectors. (English) Zbl 1143.15021 Linear Algebra Appl. 428, No. 11-12, 2536-2548 (2008). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15B48 15A18 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{P. Koev}, Linear Algebra Appl. 428, No. 11--12, 2536--2548 (2008; Zbl 1143.15021) Full Text: DOI
Coakley, Edward S.; Dopico, Froilán M.; Johnson, Charles R. Matrices with orthogonal groups admitting only determinant one. (English) Zbl 1136.15008 Linear Algebra Appl. 428, No. 4, 796-813 (2008). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15A15 15A22 15A24 15A30 20G20 PDFBibTeX XMLCite \textit{E. S. Coakley} et al., Linear Algebra Appl. 428, No. 4, 796--813 (2008; Zbl 1136.15008) Full Text: DOI
de Terán, Fernando; Dopico, Froilán M. Low rank perturbation of Kronecker structures without full rank. (English) Zbl 1142.15010 SIAM J. Matrix Anal. Appl. 29, No. 2, 496-529 (2007). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A21 15A22 15A18 PDFBibTeX XMLCite \textit{F. de Terán} and \textit{F. M. Dopico}, SIAM J. Matrix Anal. Appl. 29, No. 2, 496--529 (2007; Zbl 1142.15010) Full Text: DOI
Koev, Plamen; Dopico, Froilán Accurate eigenvalues of certain sign regular matrices. (English) Zbl 1117.65053 Linear Algebra Appl. 424, No. 2-3, 435-447 (2007). MSC: 65F15 15B48 65F35 PDFBibTeX XMLCite \textit{P. Koev} and \textit{F. Dopico}, Linear Algebra Appl. 424, No. 2--3, 435--447 (2007; Zbl 1117.65053) Full Text: DOI
Dopico, Froilán M.; Johnson, Charles R. Complementary bases in symplectic matrices and a proof that their determinant is one. (English) Zbl 1112.15002 Linear Algebra Appl. 419, No. 2-3, 772-778 (2006). Reviewer: Hans Havlicek (Wien) MSC: 15A03 15B57 15A15 15A09 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{C. R. Johnson}, Linear Algebra Appl. 419, No. 2--3, 772--778 (2006; Zbl 1112.15002) Full Text: DOI
Dopico, Froilán M.; Johnson, Charles R.; Molera, Juan M. Multiple LU factorizations of a singular matrix. (English) Zbl 1106.15009 Linear Algebra Appl. 419, No. 1, 24-36 (2006). Reviewer: Václav Burjan (Praha) MSC: 15A23 15A21 65F05 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Linear Algebra Appl. 419, No. 1, 24--36 (2006; Zbl 1106.15009) Full Text: DOI
Dopico, Froilán M.; Molera, Juan M. Perturbation theory for factorizations of LU type through series expansions. (English) Zbl 1094.65021 SIAM J. Matrix Anal. Appl. 27, No. 2, 561-581 (2005). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F05 65F35 15A23 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{J. M. Molera}, SIAM J. Matrix Anal. Appl. 27, No. 2, 561--581 (2005; Zbl 1094.65021) Full Text: DOI Link
Bueno, M. Isabel; Dopico, Froilán M. Stability and sensivity of Darboux transformation without parameter. (English) Zbl 1065.65060 ETNA, Electron. Trans. Numer. Anal. 18, 101-136 (2004). MSC: 65F30 42C05 15A23 65F35 PDFBibTeX XMLCite \textit{M. I. Bueno} and \textit{F. M. Dopico}, ETNA, Electron. Trans. Numer. Anal. 18, 101--136 (2004; Zbl 1065.65060) Full Text: EuDML EMIS
Moro, Julio; Dopico, Froilán M. Low rank perturbation of Jordan structure. (English) Zbl 1055.15017 SIAM J. Matrix Anal. Appl. 25, No. 2, 495-506 (2003). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A21 15A18 15A03 PDFBibTeX XMLCite \textit{J. Moro} and \textit{F. M. Dopico}, SIAM J. Matrix Anal. Appl. 25, No. 2, 495--506 (2003; Zbl 1055.15017) Full Text: DOI
Moro, Julio; Dopico, Froilán M. First order eigenvalue perturbation theory and the Newton diagram. (English) Zbl 1017.15008 Drmač, Zlatko (ed.) et al., Applied mathematics and scientific computing. Proceedings of the 2nd conference, Dubrovnik, Croatia, June 4-9, 2001. New York, NY: Kluwer Academic/Plenum Publishers. 143-175 (2003). MSC: 15A42 15A21 PDFBibTeX XMLCite \textit{J. Moro} and \textit{F. M. Dopico}, in: Applied mathematics and scientific computing. Proceedings of the 2nd conference, Dubrovnik, Croatia, June 4--9, 2001. New York, NY: Kluwer Academic/Plenum Publishers. 143--175 (2003; Zbl 1017.15008)
Dopico, Froilán M.; Moro, Julio Perturbation theory for simultaneous bases of singular subspaces. (English) Zbl 1003.65039 BIT 42, No. 1, 84-109 (2002). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F20 15A42 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{J. Moro}, BIT 42, No. 1, 84--109 (2002; Zbl 1003.65039) Full Text: DOI
Dopico, Froilán M. A note on \(\sin\Theta\) theorems for singular subspace variations. (English) Zbl 0961.65034 BIT 40, No. 2, 395-403 (2000). Reviewer: George Csordas (Honolulu) MSC: 65F15 65F20 15A42 PDFBibTeX XMLCite \textit{F. M. Dopico}, BIT 40, No. 2, 395--403 (2000; Zbl 0961.65034) Full Text: DOI
Dopico, Froilán M.; Moro, Julio; Molera, Juan M. Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices. (English) Zbl 0957.15014 Linear Algebra Appl. 309, No. 1-3, 3-18 (2000). Reviewer: F.Uhlig (Auburn) MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Linear Algebra Appl. 309, No. 1--3, 3--18 (2000; Zbl 0957.15014) Full Text: DOI