Xu, Wei-Ru; Bebiano, Natália; Shu, Qian-Yu; Feng, Ting-Ting A divide-and-conquer method for constructing a pseudo-Jacobi matrix from mixed given data. (English) Zbl 1520.15003 Linear Algebra Appl. 674, 256-281 (2023). Reviewer: Tin Yau Tam (Reno) MSC: 15A29 15A18 15A63 65F18 65F15 PDFBibTeX XMLCite \textit{W.-R. Xu} et al., Linear Algebra Appl. 674, 256--281 (2023; Zbl 1520.15003) Full Text: DOI
Bebiano, Natália; Lemos, Rute; Soares, Graça On the numerical range of Kac-Sylvester matrices. (English) Zbl 1522.15022 Electron. J. Linear Algebra 39, 242-259 (2023). MSC: 15A60 14H50 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Electron. J. Linear Algebra 39, 242--259 (2023; Zbl 1522.15022) Full Text: Link
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang A reduction algorithm for reconstructing periodic Jacobi matrices in Minkowski spaces. (English) Zbl 1510.65074 Appl. Math. Comput. 419, Article ID 126853, 15 p. (2022). MSC: 65F18 15A18 15A29 PDFBibTeX XMLCite \textit{W.-R. Xu} et al., Appl. Math. Comput. 419, Article ID 126853, 15 p. (2022; Zbl 1510.65074) Full Text: DOI
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang An inverse eigenvalue problem for doubly periodic pseudo-Jacobi matrices. (English) Zbl 1480.65088 J. Comput. Appl. Math. 405, Article ID 113957, 25 p. (2022). MSC: 65F18 65F15 15A18 15A29 PDFBibTeX XMLCite \textit{W.-R. Xu} et al., J. Comput. Appl. Math. 405, Article ID 113957, 25 p. (2022; Zbl 1480.65088) Full Text: DOI
Bebiano, Natália; Furtado, Susana A note on classes of structured matrices with elliptical type numerical range. (English) Zbl 1524.15047 Czech. Math. J. 71, No. 4, 1015-1023 (2021). MSC: 15A60 15A21 47A12 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{S. Furtado}, Czech. Math. J. 71, No. 4, 1015--1023 (2021; Zbl 1524.15047) Full Text: DOI
Bebiano, Natália; da Providéncia, Joáo; Spitkovsky, Ilya M. On Kippenhahn curves and higher-rank numerical ranges of some matrices. (English) Zbl 1478.15031 Linear Algebra Appl. 629, 246-257 (2021). Reviewer: Agnes Radl (Berlin) MSC: 15A60 47A12 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 629, 246--257 (2021; Zbl 1478.15031) Full Text: DOI arXiv
Bebiano, N.; da Providência, J. Maximum entropy principle and Landau free energy inequality. (English) Zbl 1516.15013 Linear Multilinear Algebra 69, No. 6, 1020-1034 (2021). MSC: 15A60 94A17 62F30 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Multilinear Algebra 69, No. 6, 1020--1034 (2021; Zbl 1516.15013) Full Text: DOI
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang An inverse eigenvalue problem for modified pseudo-Jacobi matrices. (English) Zbl 1459.65052 J. Comput. Appl. Math. 389, Article ID 113361, 25 p. (2021). MSC: 65F18 65F15 15A18 15A29 PDFBibTeX XMLCite \textit{W.-R. Xu} et al., J. Comput. Appl. Math. 389, Article ID 113361, 25 p. (2021; Zbl 1459.65052) Full Text: DOI
Bebiano, Natália; Furtado, Susana Approximating the eigenvalues and eigenvectors of birth and death matrices. (English) Zbl 1463.15058 Comput. Appl. Math. 39, No. 4, Paper No. 279, 14 p. (2020). MSC: 15B05 15A18 65F15 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{S. Furtado}, Comput. Appl. Math. 39, No. 4, Paper No. 279, 14 p. (2020; Zbl 1463.15058) Full Text: DOI
Bebiano, Natália; Fernandes, Rosário; Furtado, Susana Reciprocal matrices: properties and approximation by a transitive matrix. (English) Zbl 1449.15081 Comput. Appl. Math. 39, No. 2, Paper No. 50, 22 p. (2020). MSC: 15B99 15A60 90B50 05C50 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Comput. Appl. Math. 39, No. 2, Paper No. 50, 22 p. (2020; Zbl 1449.15081) Full Text: DOI Link
Bebiano, Natália; Furtado, Susana Remarks on anti-tridiagonal matrices. (English) Zbl 1437.15017 Appl. Math. Comput. 373, Article ID 125008, 10 p. (2020). Reviewer: C. M. da Fonseca (Safat) MSC: 15A21 15A18 15B05 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{S. Furtado}, Appl. Math. Comput. 373, Article ID 125008, 10 p. (2020; Zbl 1437.15017) Full Text: DOI
Bebiano, Natália; da Providéncia, Joáo; Spitkovsky, Ilya M.; Vazquez, Kenya Kippenhahn curves of some tridiagonal matrices. arXiv:2011.00849 Preprint, arXiv:2011.00849 [math.FA] (2020). MSC: 15A60 47A12 14H50 BibTeX Cite \textit{N. Bebiano} et al., ``Kippenhahn curves of some tridiagonal matrices'', Preprint, arXiv:2011.00849 [math.FA] (2020) Full Text: arXiv OA License
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata. (English) Zbl 1461.65056 Inverse Probl. Sci. Eng. 27, No. 6, 773-789 (2019). MSC: 65F18 65F15 15A18 PDFBibTeX XMLCite \textit{W.-R. Xu} et al., Inverse Probl. Sci. Eng. 27, No. 6, 773--789 (2019; Zbl 1461.65056) Full Text: DOI
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. (English) Zbl 1431.65052 ETNA, Electron. Trans. Numer. Anal. 51, 363-386 (2019). MSC: 65F18 65F15 15A18 15A29 PDFBibTeX XMLCite \textit{W.-R. Xu} et al., ETNA, Electron. Trans. Numer. Anal. 51, 363--386 (2019; Zbl 1431.65052) Full Text: DOI Link
Bebiano, Natália; Furtado, Susana Nearness results for real tridiagonal \(2\)-Toeplitz matrices. (English) Zbl 1463.65067 Numer. Linear Algebra Appl. 26, No. 5, e2257, 17 p. (2019). MSC: 65F15 65F35 15B05 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{S. Furtado}, Numer. Linear Algebra Appl. 26, No. 5, e2257, 17 p. (2019; Zbl 1463.65067) Full Text: DOI
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang An inverse eigenvalue problem for pseudo-Jacobi matrices. (English) Zbl 1429.65081 Appl. Math. Comput. 346, 423-435 (2019). MSC: 65F18 15A29 15A18 65F15 PDFBibTeX XMLCite \textit{W.-R. Xu} et al., Appl. Math. Comput. 346, 423--435 (2019; Zbl 1429.65081) Full Text: DOI
Bebiano, Natália; Furtado, Susana A reducing approach for symmetrically sparse banded and anti-banded matrices. (English) Zbl 1420.15011 Linear Algebra Appl. 581, 36-50 (2019). MSC: 15A21 15A18 15B05 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{S. Furtado}, Linear Algebra Appl. 581, 36--50 (2019; Zbl 1420.15011) Full Text: DOI
Bebiano, Natália; da Providência, João; Nishiyama, Seiya; da Providência, João P. Fermionic model with a non-Hermitian Hamiltonian. arXiv:1907.09347 Preprint, arXiv:1907.09347 [quant-ph] (2019). MSC: 15A75 BibTeX Cite \textit{N. Bebiano} et al., ``Fermionic model with a non-Hermitian Hamiltonian'', Preprint, arXiv:1907.09347 [quant-ph] (2019) Full Text: DOI arXiv OA License
Baksalary, Oskar Maria (ed.); Bebiano, Natalia (ed.); Fassbender, Heike (ed.); Puntanen, Simo (ed.) Preface: International conference on matrix analysis and its applications – MatTriad 2017. (English) Zbl 1390.00134 Electron. J. Linear Algebra 33, 1-2 (2018). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{O. M. Baksalary} (ed.) et al., Electron. J. Linear Algebra 33, 1--2 (2018; Zbl 1390.00134)
Bebiano, Natália; Furtado, Susana Structured distance to normality of tridiagonal matrices. (English) Zbl 1392.65085 Linear Algebra Appl. 552, 239-255 (2018). MSC: 65F15 65F35 15B05 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{S. Furtado}, Linear Algebra Appl. 552, 239--255 (2018; Zbl 1392.65085) Full Text: DOI
Bebiano, Natália; da Providência, João; Esmaeili, Fatemeh The characteristic polynomial of linear pencils of small size and the numerical range. (English) Zbl 1400.15021 Bebiano, Natália (ed.), Applied and computational matrix analysis. MAT-TRIAD, Coimbra, Portugal, September 7–11, 2015. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-49982-6/hbk; 978-3-319-49984-0/ebook). Springer Proceedings in Mathematics & Statistics 192, 181-197 (2017). MSC: 15A60 15A15 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Springer Proc. Math. Stat. 192, 181--197 (2017; Zbl 1400.15021) Full Text: DOI Link
Bebiano, Natália; da Providência, João; Nata, Ana; da Providência, João P. Fields of values of linear pencils and spectral inclusion regions. (English) Zbl 1402.65032 Bebiano, Natália (ed.), Applied and computational matrix analysis. MAT-TRIAD, Coimbra, Portugal, September 7–11, 2015. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-49982-6/hbk; 978-3-319-49984-0/ebook). Springer Proceedings in Mathematics & Statistics 192, 165-179 (2017). MSC: 65F30 15A60 15A22 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Springer Proc. Math. Stat. 192, 165--179 (2017; Zbl 1402.65032) Full Text: DOI Link
Bebiano, Natália; da Providência, João Determinantal inequalities for \(J\)-accretive dissipative matrices. (English) Zbl 1413.15038 Stud. Univ. Babeș-Bolyai, Math. 62, No. 1, 119-125 (2017). MSC: 15A45 15A15 15A63 46C20 47A12 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Stud. Univ. Babeș-Bolyai, Math. 62, No. 1, 119--125 (2017; Zbl 1413.15038) Full Text: DOI
Bebiano, N.; da Providência, J.; Nata, A.; da Providência, J. P. Generalized Rayleigh quotients and generating vectors. (English) Zbl 1358.65022 Linear Multilinear Algebra 65, No. 1, 1-23 (2017). MSC: 65F15 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Multilinear Algebra 65, No. 1, 1--23 (2017; Zbl 1358.65022) Full Text: DOI
Bebiano, Natália; da Providência, João A Fiedler-type theorem for the determinant of \(J\)-positive matrices. (English) Zbl 1344.15005 Math. Inequal. Appl. 19, No. 2, 663-669 (2016). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 15A60 47B50 15A18 15A63 15B48 15B57 15A45 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Math. Inequal. Appl. 19, No. 2, 663--669 (2016; Zbl 1344.15005) Full Text: DOI Link
Bebiano, N.; da Providência, J.; Nata, A.; da Providência, J. P. An inverse indefinite numerical range problem. (English) Zbl 1309.15035 Linear Algebra Appl. 470, 200-215 (2015). MSC: 15A60 15A63 15A29 65F30 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 470, 200--215 (2015; Zbl 1309.15035) Full Text: DOI
Bebiano, Natalia; da Providência, J.; Nata, A.; da Providência, J. P. Computing the numerical range of Krein space operators. (English) Zbl 1310.65058 Open Math. 13, 146-156 (2015). MSC: 65J10 47B50 47A12 15A60 15A63 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Open Math. 13, 146--156 (2015; Zbl 1310.65058) Full Text: DOI Link
Nakazato, Hiroshi; Bebiano, Natália; da Providência, João A note on the convexity of the indefinite joint numerical range. (English) Zbl 1339.47009 Electron. J. Linear Algebra 27, 705-715 (2014). Reviewer: Andrzej Sołtysiak (Poznań) MSC: 47A12 46C20 15A60 PDFBibTeX XMLCite \textit{H. Nakazato} et al., Electron. J. Linear Algebra 27, 705--715 (2014; Zbl 1339.47009) Full Text: DOI
Bebiano, Natália; da Providência, João; Nata, Ana; da Providência, João P. Revisiting the inverse field of values problem. (English) Zbl 1310.15034 ETNA, Electron. Trans. Numer. Anal. 42, 1-12 (2014). MSC: 15A60 47B35 PDFBibTeX XMLCite \textit{N. Bebiano} et al., ETNA, Electron. Trans. Numer. Anal. 42, 1--12 (2014; Zbl 1310.15034) Full Text: EMIS
Nakazato, Hiroshi; Kovačec, Alexander; Bebiano, Natália; da Providência, João The main diagonal products of \( 3 \times 3\) normal matrices whose eigenvalues are the third roots of unity. (English) Zbl 1298.15042 Fonseca, Carlos (ed.) et al., The Natália Bebiano anniversary volume. Special issue on the occasion of her 60th birthday. Coimbra: Universidade de Coimbra, Departamento de Matemática (ISBN 978-972-8564-48-3/pbk). Textos de Matemática 44, 145-151 (2013). MSC: 15B57 15A60 PDFBibTeX XMLCite \textit{H. Nakazato} et al., Textos Mat. 44, 145--151 (2013; Zbl 1298.15042)
Bebiano, Natália; Tyaglov, Mikhail Direct and inverse spectral problems for a class of non-self-adjoint periodic tridiagonal matrices. (English) Zbl 1283.15031 Linear Algebra Appl. 439, No. 11, 3490-3504 (2013). MSC: 15A18 65F18 65F50 15A29 47B36 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{M. Tyaglov}, Linear Algebra Appl. 439, No. 11, 3490--3504 (2013; Zbl 1283.15031) Full Text: DOI arXiv
Bebiano, N.; da Providência, J. Numerical ranges of quadratic operators in spaces with an indefinite metric. (English) Zbl 1283.15068 Electron. J. Linear Algebra 26, 141-157 (2013). MSC: 15A60 47A12 47B35 15A63 46C20 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Electron. J. Linear Algebra 26, 141--157 (2013; Zbl 1283.15068) Full Text: DOI
Bebiano, Natália; da Providência, João Inverse spectral problems for structured pseudo-symmetric matrices. (English) Zbl 1281.15006 Linear Algebra Appl. 438, No. 10, 4062-4074 (2013). MSC: 15A18 15A29 65F18 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Algebra Appl. 438, No. 10, 4062--4074 (2013; Zbl 1281.15006) Full Text: DOI
Bebiano, N.; da Providência, J.; Nata, A. The numerical range of banded biperiodic Toeplitz operators. (English) Zbl 1283.47030 J. Math. Anal. Appl. 398, No. 1, 189-197 (2013). Reviewer: Woo Young Lee (Seoul) MSC: 47B35 47A12 15B05 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} et al., J. Math. Anal. Appl. 398, No. 1, 189--197 (2013; Zbl 1283.47030) Full Text: DOI
Bebiano, N.; da Providência, J. Indefinite higher-rank numerical ranges. (English) Zbl 1278.47013 Linear Multilinear Algebra 60, No. 9, 1009-1026 (2012). Reviewer: Yiu Tung Poon (Ames) MSC: 47A12 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Multilinear Algebra 60, No. 9, 1009--1026 (2012; Zbl 1278.47013) Full Text: DOI
Baksalary, Oskar Maria (ed.); Bebiano, Natália (ed.); Cvetković, Ljiljana (ed.); Puntanen, Simo (ed.) Special issue. Selected papers based on the presentations at the international conference on matrix analysis and its applications, MaTriad 2011, Tomar, Portugal, July 12–16, 2011. Special Issue for the Mat Triad 2011. (English) Zbl 1253.00014 Electron. J. Linear Algebra 25, 118 p. (2012). MSC: 00B25 15-06 65-06 05-06 PDFBibTeX XML Full Text: Link
Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. Operator inequalities for \(J\)-contractions. (English) Zbl 1268.15020 Math. Inequal. Appl. 15, No. 4, 883-897 (2012). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A45 47B50 47A63 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Math. Inequal. Appl. 15, No. 4, 883--897 (2012; Zbl 1268.15020) Full Text: DOI
Bebiano, N.; Lemos, R.; da Providência, J. On a reverse Heinz-Kato-Furuta inequality. (English) Zbl 1258.15005 Linear Algebra Appl. 437, No. 7, 1892-1905 (2012). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15A45 47A63 15A15 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 437, No. 7, 1892--1905 (2012; Zbl 1258.15005) Full Text: DOI
Bebiano, N.; da Providência, J. Corrigendum: Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results. (English) Zbl 1254.15021 Inverse Probl. 28, No. 6, Article ID 069501, 1 p. (2012). MSC: 15A29 15B10 15A18 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Inverse Probl. 28, No. 6, Article ID 069501, 1 p. (2012; Zbl 1254.15021) Full Text: DOI
Bebiano, N.; Furtado, S.; da Providência, J. A quasi-Jacobi form for \(J\)-normal matrices and inverse eigenvalue problems. (English) Zbl 1264.15030 Linear Algebra Appl. 436, No. 6, 1739-1753 (2012). Reviewer: Huajun Huang (Auburn) MSC: 15B10 15B57 15A21 15A18 15A29 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 436, No. 6, 1739--1753 (2012; Zbl 1264.15030) Full Text: DOI
Bebiano, Natália (ed.); Dahl, Geir (ed.); Dias da Silva, Jose (ed.); da Fonseca, Carlos M. (ed.) Special issue: Proceedings of the Coimbra meeting on 0-1 matrix theory and related topics, Coimbra, Portugal, June 17–19, 2010. (English) Zbl 1250.15001 Linear Algebra Appl. 436, No. 4, 789-926 (2012). MSC: 15-06 15A99 05C50 65F30 00B25 PDFBibTeX XML
Bebiano, N.; Furtado, S.; da Providência, J. On the eigenvalues of principal submatrices of \(J\)-normal matrices. (English) Zbl 1229.15009 Linear Algebra Appl. 435, No. 12, 3101-3114 (2011). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A18 15A45 47B50 47A63 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 435, No. 12, 3101--3114 (2011; Zbl 1229.15009) Full Text: DOI
Bebiano, Natália; da Fonseca, C. M.; da Providência, João An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. (English) Zbl 1259.15011 Linear Algebra Appl. 435, No. 8, 2033-2045 (2011). MSC: 15A18 15A29 15B05 65F18 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 435, No. 8, 2033--2045 (2011; Zbl 1259.15011) Full Text: DOI
Bebiano, N.; da Providência, J. Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results. (English) Zbl 1215.15016 Inverse Probl. 27, No. 2, Article ID 025005, 12 p. (2011); corrigendum ibid. 28, No. 6, Article ID 069501, 1 p. (2012). Reviewer: Václav Burjan (Praha) MSC: 15A29 15B10 15A18 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Inverse Probl. 27, No. 2, Article ID 025005, 12 p. (2011; Zbl 1215.15016) Full Text: DOI
Bebiano, N.; Nakazato, H.; Nata, A.; Da Providência, J. The boundary of the Krein space tracial numerical range, an algebraic approach and a numerical algorithm. (English) Zbl 1205.15037 Ann. Mat. Pura Appl. (4) 189, No. 4, 539-551 (2010). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 47A12 46C20 65F30 15A63 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Ann. Mat. Pura Appl. (4) 189, No. 4, 539--551 (2010; Zbl 1205.15037) Full Text: DOI Link
Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. Further developments of Furuta inequality of indefinite type. (English) Zbl 1200.47049 Math. Inequal. Appl. 13, No. 3, 523-535 (2010). Reviewer: Edward L. Pekarev (Odessa) MSC: 47B50 47A63 15A45 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Math. Inequal. Appl. 13, No. 3, 523--535 (2010; Zbl 1200.47049) Full Text: DOI
Bebiano, N.; Furtado, S.; da Providência, J. Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for \(J\)-Hermitian and \(J\)-normal matrices. (English) Zbl 1194.15015 Linear Algebra Appl. 433, No. 1, 80-90 (2010). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A42 15A45 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 433, No. 1, 80--90 (2010; Zbl 1194.15015) Full Text: DOI
Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. Trace inequalities for logarithms and powers of J-Hermitian matrices. (English) Zbl 1193.15016 Linear Algebra Appl. 432, No. 12, 3172-3182 (2010). Reviewer: Fozi Dannan (Damascus) MSC: 15A45 47B50 47A63 15A15 15A16 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 432, No. 12, 3172--3182 (2010; Zbl 1193.15016) Full Text: DOI
Bebiano, N.; da Providência, J.; Teixeira, R. Indefinite numerical range of \(3\times 3\) matrices. (English) Zbl 1224.15043 Czech. Math. J. 59, No. 1, 221-239 (2009). MSC: 15A60 15A63 46C20 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Czech. Math. J. 59, No. 1, 221--239 (2009; Zbl 1224.15043) Full Text: DOI EuDML
Bebiano, N.; Nakazato, H.; da Providência, J. On the Courant–Fischer theory for Krein spaces. (English) Zbl 1168.47004 Linear Algebra Appl. 430, No. 7, 1867-1876 (2009). Reviewer: Andreas Fleige (Dortmund) MSC: 47A12 46C20 15A42 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 430, No. 7, 1867--1876 (2009; Zbl 1168.47004) Full Text: DOI
Nakazato, Hiroshi; Bebiano, Natália; da Providência, João Product of diagonal entries of the unitary orbit of a 3-by-3 normal matrix. (English) Zbl 1143.15030 Linear Algebra Appl. 429, No. 4, 698-715 (2008). MSC: 15A60 15B57 15B51 47A12 PDFBibTeX XMLCite \textit{H. Nakazato} et al., Linear Algebra Appl. 429, No. 4, 698--715 (2008; Zbl 1143.15030) Full Text: DOI Link
Bebiano, Natalia; da Providência, Joao; Nata, Ana Cristina; Pereira Soares, Maria da Graca Krein spaces numerical ranges and their computer generation. (English) Zbl 1147.15017 Electron. J. Linear Algebra 17, 192-208 (2008). Reviewer: Omar Hirzallah (Zarqa) MSC: 15A60 15A63 15-04 68W30 65F30 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Electron. J. Linear Algebra 17, 192--208 (2008; Zbl 1147.15017) Full Text: DOI EuDML Link
Nakazato, Hiroshi; Bebiano, Natália; da Providência, João The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities. (English) Zbl 1144.15020 Linear Algebra Appl. 428, No. 11-12, 2995-3014 (2008). Reviewer: Janko Bračič (Ljubljana) MSC: 15A60 46C20 47A12 15A45 PDFBibTeX XMLCite \textit{H. Nakazato} et al., Linear Algebra Appl. 428, No. 11--12, 2995--3014 (2008; Zbl 1144.15020) Full Text: DOI
Bebiano, N.; da Providência, J.; Teixeira, R. Flat portions on the boundary of the indefinite numerical range of \(3\times 3\) matrices. (English) Zbl 1144.15016 Linear Algebra Appl. 428, No. 11-12, 2863-2879 (2008). Reviewer: John D. Dixon (Ottawa) MSC: 15A60 46C20 15A63 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 428, No. 11--12, 2863--2879 (2008; Zbl 1144.15016) Full Text: DOI
Nakazato, Hiroshi; Bebiano, Natália; da Providência, João The numerical range of 2-dimensional Krein space operators. (English) Zbl 1141.15025 Can. Math. Bull. 51, No. 1, 86-99 (2008). Reviewer: Janko Bračič (Ljubljana) MSC: 15A60 47B50 47A12 15A63 PDFBibTeX XMLCite \textit{H. Nakazato} et al., Can. Math. Bull. 51, No. 1, 86--99 (2008; Zbl 1141.15025) Full Text: DOI
Nakazato, Hiroshi; Bebiano, Natalia; da Providência, João Shapes of numerical ranges of operators on a 3-dimensional Krein space. (English) Zbl 1131.46021 Int. J. Algebra 1, No. 1-4, 185-204 (2007). MSC: 46C20 47A12 15A60 PDFBibTeX XMLCite \textit{H. Nakazato} et al., Int. J. Algebra 1, No. 1--4, 185--204 (2007; Zbl 1131.46021) Full Text: DOI Link
Bebiano, Natália; da Providência, João; Kovačec, Alexander An extension of Birkhoff’s theorem with an application to determinants. (English) Zbl 1132.46016 Linear Algebra Appl. 427, No. 1, 130-137 (2007). Reviewer: Ludvík Janoš (Claremont) MSC: 46C20 15B51 47A12 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 427, No. 1, 130--137 (2007; Zbl 1132.46016) Full Text: DOI
Kovacec, Alexander; Bebiano, Natália; da Providência, João On the corners of certain determinantal ranges. (English) Zbl 1126.15006 Linear Algebra Appl. 426, No. 1, 96-108 (2007). Reviewer: John D. Dixon (Ottawa) MSC: 15A15 PDFBibTeX XMLCite \textit{A. Kovacec} et al., Linear Algebra Appl. 426, No. 1, 96--108 (2007; Zbl 1126.15006) Full Text: DOI Link
Nakazato, Hiroshi; Bebiano, Natália; Da Providência, João \(J\)-orthostochastic matrices of size \(3 \times 3\) and numerical ranges of Krein space operators. (English) Zbl 1081.15014 Linear Algebra Appl. 407, 211-232 (2005). Reviewer: Huang Wenxue (Scarborough) MSC: 15B51 46C20 15A60 47A12 PDFBibTeX XMLCite \textit{H. Nakazato} et al., Linear Algebra Appl. 407, 211--232 (2005; Zbl 1081.15014) Full Text: DOI
Bebiano, N.; Nakazato, H.; Da Providência, J.; Lemos, R.; Soares, G. Inequalities for \(J\)-Hermitian matrices. (English) Zbl 1091.15024 Linear Algebra Appl. 407, 125-139 (2005). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A42 46C20 47A12 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 407, 125--139 (2005; Zbl 1091.15024) Full Text: DOI
Bebiano, N.; Soares, G. Three observations on the determinantal range. (English) Zbl 1074.15032 Linear Algebra Appl. 401, 211-220 (2005). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A15 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{G. Soares}, Linear Algebra Appl. 401, 211--220 (2005; Zbl 1074.15032) Full Text: DOI
Bebiano, N.; Lemos, R.; da Providência, J. Inequalities for quantum relative entropy. (English) Zbl 1076.15019 Linear Algebra Appl. 401, 159-172 (2005). Reviewer: Martín Argerami (Regina) MSC: 15A45 15A90 47A63 82B10 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 401, 159--172 (2005; Zbl 1076.15019) Full Text: DOI Link
Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. On the geometry of numerical ranges in spaces with an indefinite inner product. (English) Zbl 1078.15020 Linear Algebra Appl. 399, 17-34 (2005). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 399, 17--34 (2005; Zbl 1078.15020) Full Text: DOI
Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. On generalized numerical ranges of operators on an indefinite inner product space. (English) Zbl 1059.15029 Linear Multilinear Algebra 52, No. 3-4, 203-233 (2004). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A60 15A63 47A12 47B50 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Multilinear Algebra 52, No. 3--4, 203--233 (2004; Zbl 1059.15029) Full Text: DOI
Bebiano, N.; da Providência, J. jun.; Lemos, R. Matrix inequalities in statistical mechanics. (English) Zbl 1037.15016 Linear Algebra Appl. 376, 265-273 (2004). Reviewer: Mihail Voicu (Iaşi) MSC: 15A45 82B05 82B30 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 376, 265--273 (2004; Zbl 1037.15016) Full Text: DOI Link
Bebiano, Natália; Li, Chi-Kwong; Da Providência, João Generalized numerical ranges of permanental compounds arising from quantum systems of bosons. (English) Zbl 0963.15031 Electron. J. Linear Algebra 7, 73-91 (2000). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 15A60 15A90 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Electron. J. Linear Algebra 7, 73--91 (2000; Zbl 0963.15031) Full Text: DOI EuDML EMIS Link
Bebiano, Natália; Perdigão, Cecília Extremal matrices in certain determinantal inequalities. (English) Zbl 0928.15013 Linear Multilinear Algebra 44, No. 3, 261-276 (1998). Reviewer: A.R.Kräuter (Leoben) MSC: 15A45 15A15 15A42 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{C. Perdigão}, Linear Multilinear Algebra 44, No. 3, 261--276 (1998; Zbl 0928.15013) Full Text: DOI
Bebiano, Natália; da Providência, João Numerical ranges in physics. (English) Zbl 0897.15014 Linear Multilinear Algebra 43, No. 4, 327-337 (1998). Reviewer: Y.Kuo (Knoxville) MSC: 15A60 15A90 82B10 82B30 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Multilinear Algebra 43, No. 4, 327--337 (1998; Zbl 0897.15014) Full Text: DOI
Bebiano, Natália; Li, Chi-Kwong; da Providência, João Determinant of the sum of a symmetric and a skew-symmetric matrix. (English) Zbl 0878.15002 SIAM J. Matrix Anal. Appl. 18, No. 1, 74-82 (1997). Reviewer: A.Kovačec (Coimbra) MSC: 15A15 15A23 15A45 PDFBibTeX XMLCite \textit{N. Bebiano} et al., SIAM J. Matrix Anal. Appl. 18, No. 1, 74--82 (1997; Zbl 0878.15002) Full Text: DOI
Bebiano, Natália; da Providência, J. On the dual of a result of Miranda and Thompson. (English) Zbl 0912.15005 Linear Algebra Appl. 262, 119-129 (1997). MSC: 15A15 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Algebra Appl. 262, 119--129 (1997; Zbl 0912.15005) Full Text: DOI
Bebiano, Natália; da Providência, João Another proof of a conjecture of Marcus on \(c\)-numerical range. (English) Zbl 0871.15028 Linear Multilinear Algebra 41, No. 1, 35-40 (1996). MSC: 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Multilinear Algebra 41, No. 1, 35--40 (1996; Zbl 0871.15028) Full Text: DOI
Bebiano, Natália; da Providência, João Some geometrical properties of the \(c\)-numerical range of a normal matrix. (English) Zbl 0814.15024 Linear Multilinear Algebra 37, No. 1-3, 83-92 (1994). Reviewer: S.E.Payne (Denver) MSC: 15A60 46A55 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Multilinear Algebra 37, No. 1--3, 83--92 (1994; Zbl 0814.15024) Full Text: DOI
Bebiano, N.; Miranda, M. E. On a recent determinantal inequality. (English) Zbl 0804.15006 Linear Algebra Appl. 201, 99-102 (1994). Reviewer: R.von Randow (Bonn) MSC: 15A15 15A45 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{M. E. Miranda}, Linear Algebra Appl. 201, 99--102 (1994; Zbl 0804.15006) Full Text: DOI
Bebiano, Natália; Kovačec, Alexander; da Providência, João The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices. (English) Zbl 0801.15005 Linear Algebra Appl. 197-198, 411-427 (1994). Reviewer: João Filipe Queiró MSC: 15A15 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 197--198, 411--427 (1994; Zbl 0801.15005) Full Text: DOI
Bebiano, Natália; de Providência, João Some geometrical properties of the c-numerical range of a normal matrix. (English) Zbl 1002.15501 Marques de Sá, Eduardo (ed.) et al., Mathematical studies. Homage to Professor Doctor Luís de Albuquerque. Coimbra: Universidade de Coimbra, Faculdade de Ciências e Tecnologia, Departamento de Matemática, 17-32 (1994). MSC: 15A60 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. de Providência}, in: Estudos de matemática. Em homenagem ao Professor Doctor Luís de Albuquerque. Coimbra: Universidade de Coimbra, Faculdade de Ciências e Tecnologia, Departamento de Matemática. 17--32 (1994; Zbl 1002.15501)
Merikoski, J. Kaarlo; Virtanen, Ari; Bebiano, Natália; da Providência, João Interdependence of some problems arising in generalizing the Marcus-de Oliveira determinantal conjecture. (English) Zbl 0804.15007 Port. Math. 50, No. 2, 227-236 (1993). Reviewer: P.M.Gibson (Huntsville) MSC: 15A15 15A60 46A55 PDFBibTeX XMLCite \textit{J. K. Merikoski} et al., Port. Math. 50, No. 2, 227--236 (1993; Zbl 0804.15007) Full Text: EuDML
Bebiano, Natália; Li, Chi-Kwong; da Providência, João Some results on the numerical range of a derivation. (English) Zbl 0789.15030 SIAM J. Matrix Anal. Appl. 14, No. 4, 1084-1095 (1993). Reviewer: R.von Randow (Bonn) MSC: 15A60 15A90 PDFBibTeX XMLCite \textit{N. Bebiano} et al., SIAM J. Matrix Anal. Appl. 14, No. 4, 1084--1095 (1993; Zbl 0789.15030) Full Text: DOI
Bebiano, Natália; Li, Chi-Kwong; da Providência, João Product of diagonal elements of matrices. (English) Zbl 0774.15017 Linear Algebra Appl. 178, 185-200 (1993). Reviewer: G.Ph.A.Thijsse (Rotterdam) MSC: 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Algebra Appl. 178, 185--200 (1993; Zbl 0774.15017) Full Text: DOI
Bebiano, Natália; Li, Chi-Kwong A brief survey on the decomposable numerical range of matrices. (English) Zbl 0764.15013 Linear Multilinear Algebra 32, No. 3-4, 179-190 (1992). Reviewer: A.-A.Jafarian (West Haven) MSC: 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{C.-K. Li}, Linear Multilinear Algebra 32, No. 3--4, 179--190 (1992; Zbl 0764.15013) Full Text: DOI
Bebiano, Natália Some observations on the concept of permanent. (Portuguese) Zbl 0791.15006 Studies in mathematics. An homage to Renato Pereira Coelho. Coimbra: Departamento de Matemática, Faculdade de Ciências e Tecnologia. Universidade de Coimbra, 145-154 (1992). Reviewer: A.Kovačec (Coimbra) MSC: 15A15 PDFBibTeX XMLCite \textit{N. Bebiano}, in: Estudos de matemática. Em homenagem ao Renato Pereira Coelho. Coimbra: Departamento de Matemática, Faculdade de Ciências e Tecnologia. Universidade de Coimbra. 145--154 (1992; Zbl 0791.15006)
Bebiano, Natália Symmetries of ranges of certain matrix functions. (Portuguese. English summary) Zbl 0742.15011 Algebra, logic and number theory, Proc. 15th Port.-Span. Meet. Math., Évora/ Port. 1990, Vol. I, 89-94 (1991). MSC: 15A54 15A60 PDFBibTeX XMLCite \textit{N. Bebiano}, in: Álgebra, lógica e theoria de números. Actas de XV jornadas luso-espanholas de matemática, 3-7 de setembro, 1990, Vol. I. Évora (Portugal): Universidade de Évora. 89--94 (1991; Zbl 0742.15011)
Bebiano, Natália; Li, Chi-Kwong; Da Providência, João The numerical range and decomposable numerical range of matrices. (English) Zbl 0746.15019 Linear Multilinear Algebra 29, No. 3-4, 195-205 (1991). Reviewer: J.Zemánek (Warszawa) MSC: 15A60 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Multilinear Algebra 29, No. 3--4, 195--205 (1991; Zbl 0746.15019) Full Text: DOI
Bebiano, Natália; Poon, Yiu-Tung; da Providência, João On C-det spectral and C-det convex matrices. (English) Zbl 0678.15023 Linear Multilinear Algebra 23, No. 4, 343-351 (1988). Reviewer: G.N.de Oliveira MSC: 15A60 15A18 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Multilinear Algebra 23, No. 4, 343--351 (1988; Zbl 0678.15023) Full Text: DOI
Bebiano, Natália; da Providência, João Some remarks on a conjecture of de Oliveira. (English) Zbl 0658.15004 Linear Algebra Appl. 102, 241-246 (1988). Reviewer: G.N.de Oliveira MSC: 15A15 15B57 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Algebra Appl. 102, 241--246 (1988; Zbl 0658.15004) Full Text: DOI
Bebiano, Natália; Da Providência, João On the boundary of the C-numerical range of a normal matrix. (English) Zbl 0644.15017 Linear Multilinear Algebra 23, No. 2, 145-157 (1988). Reviewer: D.Voukalis MSC: 15A60 46A55 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. Da Providência}, Linear Multilinear Algebra 23, No. 2, 145--157 (1988; Zbl 0644.15017) Full Text: DOI
Bebiano, Natália; Merikoski, Jorma Kaarlo; da Providência, João On a conjecture of G. N. de Oliveira on determinants. (English) Zbl 0612.15001 Linear Multilinear Algebra 20, 167-170 (1987). Reviewer: G.N.de Oliveira MSC: 15A15 15A42 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Linear Multilinear Algebra 20, 167--170 (1987; Zbl 0612.15001) Full Text: DOI
Bebiano, Natália; da Providência, João On the determinant of certain strictly dissipative matrices. (English) Zbl 0625.15005 Linear Algebra Appl. 83, 117-128 (1986). Reviewer: P.M.Gibson MSC: 15A15 15B57 15A42 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Algebra Appl. 83, 117--128 (1986; Zbl 0625.15005) Full Text: DOI
Bebiano, Natália Some analogies between the c-numerical range and a certain variation on this concept. (English) Zbl 0613.15023 Linear Algebra Appl. 81, 47-54 (1986). Reviewer: D.Petz MSC: 15A60 15A15 PDFBibTeX XMLCite \textit{N. Bebiano}, Linear Algebra Appl. 81, 47--54 (1986; Zbl 0613.15023) Full Text: DOI
Bebiano, Natália Some variations on the concept of the c-numerical range. (English) Zbl 0613.15022 Port. Math. 43(1985/86), 189-200 (1986). Reviewer: D.Petz MSC: 15A60 15A15 PDFBibTeX XMLCite \textit{N. Bebiano}, Port. Math. 43, 189--200 (1986; Zbl 0613.15022) Full Text: EuDML
Bebiano, Natália Nondifferentiable points of \(\partial W_ c(A)\). (English) Zbl 0592.15013 Linear Multilinear Algebra 19, 249-257 (1986). Reviewer: J.Zemánek MSC: 15A60 PDFBibTeX XMLCite \textit{N. Bebiano}, Linear Multilinear Algebra 19, 249--257 (1986; Zbl 0592.15013) Full Text: DOI
da Providência, João; Bebiano, N. Matrices satisfying a conjecture of G. N. de Oliveira on determinants. (English) Zbl 0592.15003 Linear Algebra Appl. 78, 187-198 (1986). Reviewer: G.N.de Oliveira MSC: 15A15 15A18 15B57 PDFBibTeX XMLCite \textit{J. da Providência} and \textit{N. Bebiano}, Linear Algebra Appl. 78, 187--198 (1986; Zbl 0592.15003) Full Text: DOI
Bebiano, Natália; Queiró, João Filipe The determinant of the sum of two normal matrices with prescribed eigenvalues. (English) Zbl 0576.15006 Linear Algebra Appl. 71, 23-28 (1985). Reviewer: G. N. de Oliveira (Macau) MSC: 15A15 15A18 PDFBibTeX XMLCite \textit{N. Bebiano} and \textit{J. F. Queiró}, Linear Algebra Appl. 71, 23--28 (1985; Zbl 0576.15006) Full Text: DOI
Bebiano, Natalia On the evaluation of permanents. (English) Zbl 0512.15004 Pac. J. Math. 101, 1-9 (1982). MSC: 15A15 PDFBibTeX XMLCite \textit{N. Bebiano}, Pac. J. Math. 101, 1--9 (1982; Zbl 0512.15004) Full Text: DOI
Bebiano, Natália On the evaluation of permanents. Rev. Univ. Santander No. 2, Part 1. (English) Zbl 0938.15500 Proceedings of the 6th conference of Portuguese and Spanish mathematicians, Santander, Spain, June 5-8, 1979. Part I. Santander: Univ. Santander, 303-312 (1979). MSC: 15A15 PDFBibTeX XMLCite \textit{N. Bebiano}, in: Actas de las VI jornadas de matemáticas hispano-lusas. Parte I. Santander: Univ. Santander. 303--312 (1979; Zbl 0938.15500)