Edit Profile (opens in new tab) Bebiano, Natália Isabel Quadros Co-Author Distance Author ID: bebiano.natalia Published as: Bebiano, Natália; Bebiano, N.; Bebiano, Natalia more...less External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 126 Publications since 1979, including 2 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 18 Reviews Biographic References: 3 Publications Co-Authors: 37 Co-Authors with 114 Joint Publications 918 Co-Co-Authors all top 5 Co-Authors 13 single-authored 71 da Providência Santarém e Costa, João 16 Lemos, Rute 15 da Providencia e Costa, Joao Pinheiro 14 Pereira Soares, Maria da Graca 12 Furtado, Susana 12 Nakazato, Hiroshi 10 Xu, Weiru 9 Nata, Ana 7 Chen, Guoliang 6 Li, Chi-Kwong 4 Kovačec, Alexander 3 Spitkovsky, Ilya Matvey 2 Baksalary, Oskar Maria 2 Craveiro de Carvalho, Francisco José 2 da Fonseca, Carlos Martins 2 Merikoski, Jorma Kaarlo 2 Nishiyama, Seiya 2 Puntanen, Simo 1 Botito, Jason N. 1 Cvetković, Ljiljana 1 Dahl, Geir 1 de Providência, João 1 Esmaeili, Fatemeh Sadat Seyed 1 Faßbender, Heike 1 Feng, Tingting 1 Fernandes, Rosário 1 Gong, Yi 1 Gouveia, Celeste 1 Nata, Ana Cristina 1 Perdigão Dias da Silva, José António 1 Perdigão, Cecília 1 Poon, Yiu-Tung 1 Queiró, João Filipe 1 Shu, Qianyu 1 Tyaglov, Mikhail 1 Vazquez, Kenya 1 Virtanen, Ari all top 5 Serials 38 Linear Algebra and its Applications 16 Linear and Multilinear Algebra 10 ELA. The Electronic Journal of Linear Algebra 4 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Gazeta de Matemática (Lisboa) 3 ETNA. Electronic Transactions on Numerical Analysis 3 Mathematical Inequalities & Applications 3 Advances in Operator Theory 2 Inverse Problems 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Portugaliae Mathematica 2 SIAM Journal on Matrix Analysis and Applications 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Annals of Functional Analysis 1 Journal of Mathematical Analysis and Applications 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Pacific Journal of Mathematics 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Boletim da Sociedade Portuguesa de Matemática 1 Applied Mathematics Letters 1 Historia Mathematica 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 European Mathematical Society Newsletter 1 Inverse Problems in Science and Engineering 1 International Journal of Algebra 1 Springer Proceedings in Mathematics & Statistics 1 Open Mathematics 1 Electronic Research Archive all top 5 Fields 99 Linear and multilinear algebra; matrix theory (15-XX) 45 Operator theory (47-XX) 22 Numerical analysis (65-XX) 18 Functional analysis (46-XX) 10 Quantum theory (81-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Combinatorics (05-XX) 4 Partial differential equations (35-XX) 4 Information and communication theory, circuits (94-XX) 3 Statistics (62-XX) 2 Algebraic geometry (14-XX) 2 General topology (54-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 448 times in 239 Documents Cited by ▼ Year ▼ Inequalities for quantum relative entropy. Zbl 1076.15019 Bebiano, N.; Lemos, R.; da Providência, J. 28 2005 Matrix inequalities in statistical mechanics. Zbl 1037.15016 Bebiano, N.; da Providência, J. jun.; Lemos, R. 21 2004 On generalized numerical ranges of operators on an indefinite inner product space. Zbl 1059.15029 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 20 2004 Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results. Zbl 1215.15016 Bebiano, N.; da Providência, J. 20 2011 Nondifferentiable points of \(\partial W_ c(A)\). Zbl 0592.15013 Bebiano, Natália 18 1986 Inequalities for \(J\)-Hermitian matrices. Zbl 1091.15024 Bebiano, N.; Nakazato, H.; Da Providência, J.; Lemos, R.; Soares, G. 13 2005 Non-Hermitian quantum mechanics of bosonic operators. Zbl 1428.81087 Bebiano, Natália; da Providência, João; da Providência, J. P. 13 2018 Numerical ranges of Toeplitz operators with matrix symbols. Zbl 1248.47005 Bebiano, Natalia; Spitkovsky, Ilya M. 12 2012 Classes of non-Hermitian operators with real eigenvalues. Zbl 1237.47044 Bebiano, Natalia; Da Providencia, Joao; Da Providencia, Joao P. 11 2010 On a conjecture of G. N. de Oliveira on determinants. Zbl 0612.15001 Bebiano, Natália; Merikoski, Jorma Kaarlo; da Providência, João 10 1987 The numerical range of banded biperiodic Toeplitz operators. Zbl 1283.47030 Bebiano, N.; da Providência, J.; Nata, A. 10 2013 An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Zbl 1259.15011 Bebiano, Natália; da Fonseca, C. M.; da Providência, João 10 2011 On the geometry of numerical ranges in spaces with an indefinite inner product. Zbl 1078.15020 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 10 2005 Some remarks on a conjecture of de Oliveira. Zbl 0658.15004 Bebiano, Natália; da Providência, João 9 1988 Structured distance to normality of tridiagonal matrices. Zbl 1392.65085 Bebiano, Natália; Furtado, Susana 8 2018 A brief survey on the decomposable numerical range of matrices. Zbl 0764.15013 Bebiano, Natália; Li, Chi-Kwong 7 1992 The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices. Zbl 0801.15005 Bebiano, Natália; Kovačec, Alexander; da Providência, João 7 1994 Inverse spectral problems for structured pseudo-symmetric matrices. Zbl 1281.15006 Bebiano, Natália; da Providência, João 7 2013 Further developments of Furuta inequality of indefinite type. Zbl 1200.47049 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 7 2010 On Kippenhahn curves and higher-rank numerical ranges of some matrices. Zbl 1478.15031 Bebiano, Natália; da Providéncia, Joáo; Spitkovsky, Ilya M. 7 2021 Numerical ranges in physics. Zbl 0897.15014 Bebiano, Natália; da Providência, João 6 1998 An inverse eigenvalue problem for modified pseudo-Jacobi matrices. Zbl 1459.65052 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 6 2021 An algorithm for constructing a pseudo-Jacobi matrix from given spectral data. Zbl 1281.47015 Bebiano, Natália; Furtado, Susana; da Providência, Joâo 6 2013 Some analogies between the c-numerical range and a certain variation on this concept. Zbl 0613.15023 Bebiano, Natália 6 1986 The determinant of the sum of two normal matrices with prescribed eigenvalues. Zbl 0576.15006 Bebiano, Natália; Queiró, João Filipe 6 1985 An inverse eigenvalue problem for pseudo-Jacobi matrices. Zbl 1429.65081 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 6 2019 On the evaluation of permanents. Zbl 0512.15004 Bebiano, Natalia 5 1982 Some results on the numerical range of a derivation. Zbl 0789.15030 Bebiano, Natália; Li, Chi-Kwong; da Providência, João 5 1993 Krein spaces numerical ranges and their computer generation. Zbl 1147.15017 Bebiano, Natalia; da Providência, Joao; Nata, Ana Cristina; Pereira Soares, Maria da Graca 5 2008 The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities. Zbl 1144.15020 Nakazato, Hiroshi; Bebiano, Natália; da Providência, João 5 2008 Matrices satisfying a conjecture of G. N. de Oliveira on determinants. Zbl 0592.15003 da Providência, João; Bebiano, N. 5 1986 Numerical ranges of unbounded operators arising in quantum physics. Zbl 1075.47004 Bebiano, N.; Lemos, R.; da Providência, J. 5 2004 Operator inequalities for \(J\)-contractions. Zbl 1268.15020 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 5 2012 Reciprocal matrices: properties and approximation by a transitive matrix. Zbl 1449.15081 Bebiano, Natália; Fernandes, Rosário; Furtado, Susana 5 2020 The numerical range and decomposable numerical range of matrices. Zbl 0746.15019 Bebiano, Natália; Li, Chi-Kwong; Da Providência, João 4 1991 Product of diagonal elements of matrices. Zbl 0774.15017 Bebiano, Natália; Li, Chi-Kwong; da Providência, João 4 1993 On a reverse Heinz-Kato-Furuta inequality. Zbl 1258.15005 Bebiano, N.; Lemos, R.; da Providência, J. 4 2012 Indefinite numerical range of \(3\times 3\) matrices. Zbl 1224.15043 Bebiano, N.; da Providência, J.; Teixeira, R. 4 2009 Three observations on the determinantal range. Zbl 1074.15032 Bebiano, N.; Soares, G. 4 2005 \(J\)-orthostochastic matrices of size \(3 \times 3\) and numerical ranges of Krein space operators. Zbl 1081.15014 Nakazato, Hiroshi; Bebiano, Natália; Da Providência, João 4 2005 Remarks on anti-tridiagonal matrices. Zbl 1437.15017 Bebiano, Natália; Furtado, Susana 4 2020 Revisiting the inverse field of values problem. Zbl 1310.15034 Bebiano, Natália; da Providência, João; Nata, Ana; da Providência, João P. 4 2014 On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. Zbl 1431.65052 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 4 2019 On C-det spectral and C-det convex matrices. Zbl 0678.15023 Bebiano, Natália; Poon, Yiu-Tung; da Providência, João 3 1988 Generalized numerical ranges of permanental compounds arising from quantum systems of bosons. Zbl 0963.15031 Bebiano, Natália; Li, Chi-Kwong; Da Providência, João 3 2000 Flat portions on the boundary of the indefinite numerical range of \(3\times 3\) matrices. Zbl 1144.15016 Bebiano, N.; da Providência, J.; Teixeira, R. 3 2008 The numerical range of 2-dimensional Krein space operators. Zbl 1141.15025 Nakazato, Hiroshi; Bebiano, Natália; da Providência, João 3 2008 On the eigenvalues of principal submatrices of \(J\)-normal matrices. Zbl 1229.15009 Bebiano, N.; Furtado, S.; da Providência, J. 3 2011 A reducing approach for symmetrically sparse banded and anti-banded matrices. Zbl 1420.15011 Bebiano, Natália; Furtado, Susana 3 2019 Non-self-adjoint operators with real spectra and extensions of quantum mechanics. Zbl 1406.81034 Bebiano, N.; da Providência, J. 3 2019 On the numerical range of Kac-Sylvester matrices. Zbl 1522.15022 Bebiano, Natália; Lemos, Rute; Soares, Graça 3 2023 Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata. Zbl 1461.65056 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 3 2019 On the boundary of the C-numerical range of a normal matrix. Zbl 0644.15017 Bebiano, Natália; Da Providência, João 2 1988 Interdependence of some problems arising in generalizing the Marcus-de Oliveira determinantal conjecture. Zbl 0804.15007 Merikoski, J. Kaarlo; Virtanen, Ari; Bebiano, Natália; da Providência, João 2 1993 Direct and inverse spectral problems for a class of non-self-adjoint periodic tridiagonal matrices. Zbl 1283.15031 Bebiano, Natália; Tyaglov, Mikhail 2 2013 Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for \(J\)-Hermitian and \(J\)-normal matrices. Zbl 1194.15015 Bebiano, N.; Furtado, S.; da Providência, J. 2 2010 Product of diagonal entries of the unitary orbit of a 3-by-3 normal matrix. Zbl 1143.15030 Nakazato, Hiroshi; Bebiano, Natália; da Providência, João 2 2008 Computing the numerical range of Krein space operators. Zbl 1310.65058 Bebiano, Natalia; da Providência, J.; Nata, A.; da Providência, J. P. 2 2015 Convexity of the Krein space tracial numerical range and Morse theory. Zbl 1241.47005 Bebiano, Natália; Nakazato, Hiroshi; da Providência, João 2 2010 Corrigendum: Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results. Zbl 1254.15021 Bebiano, N.; da Providência, J. 2 2012 Some variations on the concept of the c-numerical range. Zbl 0613.15022 Bebiano, Natália 2 1986 On the determinant of certain strictly dissipative matrices. Zbl 0625.15005 Bebiano, Natália; da Providência, João 2 1986 Determinant of the sum of a symmetric and a skew-symmetric matrix. Zbl 0878.15002 Bebiano, Natália; Li, Chi-Kwong; da Providência, João 2 1997 A reduction algorithm for reconstructing periodic Jacobi matrices in Minkowski spaces. Zbl 1510.65074 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 2 2022 Toward non-Hermitian quantum statistical thermodynamics. Zbl 1439.81096 Bebiano, N.; da Providência, J.; da Providência, J. P. 2 2020 On the generalized free energy inequality. Zbl 1373.47007 Bebiano, Natalia; da Providência, Joao 2 2017 Fields of values of linear pencils and spectral inclusion regions. Zbl 1402.65032 Bebiano, Natália; da Providência, João; Nata, Ana; da Providência, João P. 2 2017 The characteristic polynomial of linear pencils of small size and the numerical range. Zbl 1400.15021 Bebiano, Natália; da Providência, João; Esmaeili, Fatemeh 2 2017 The EMM and the spectral analysis of a non self-adjoint Hamiltonian on an infinite dimensional Hilbert space. Zbl 1402.81153 Bebiano, Natalia; da Providência, João 2 2016 Mathematical horizons: Light and darkness in Portugal in the 18th century. Zbl 0859.01013 Bebiano, Natália 1 1996 Some geometrical properties of the \(c\)-numerical range of a normal matrix. Zbl 0814.15024 Bebiano, Natália; da Providência, João 1 1994 Numerical ranges of quadratic operators in spaces with an indefinite metric. Zbl 1283.15068 Bebiano, N.; da Providência, J. 1 2013 The main diagonal products of \( 3 \times 3\) normal matrices whose eigenvalues are the third roots of unity. Zbl 1298.15042 Nakazato, Hiroshi; Kovačec, Alexander; Bebiano, Natália; da Providência, João 1 2013 A note on the convexity of the indefinite joint numerical range. Zbl 1339.47009 Nakazato, Hiroshi; Bebiano, Natália; da Providência, João 1 2014 The numerical range of banded 2-Toeplitz operators in spaces with an indefinite metric. Zbl 1315.47005 Bebiano, N.; da Providência, J.; Nata, A. 1 2014 Krein space numerical ranges: compressions and dilations. Zbl 1302.47057 Bebiano, N.; da Providencia, J. 1 2014 Tsallis entropies and matrix trace inequalities in quantum statistical mechanics. Zbl 1278.82024 Bebiano, N.; da Providência, J.; da Providência, J. P. 1 2012 On the Courant–Fischer theory for Krein spaces. Zbl 1168.47004 Bebiano, N.; Nakazato, H.; da Providência, J. 1 2009 Trace inequalities for logarithms and powers of J-Hermitian matrices. Zbl 1193.15016 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 1 2010 Ruy Luís Gomes – life and work. (Ruy Luís Gomes – vida e obra.) Zbl 1161.01312 Bebiano, Natália 1 2005 Extremal matrices in certain determinantal inequalities. Zbl 0928.15013 Bebiano, Natália; Perdigão, Cecília 1 1998 An inverse indefinite numerical range problem. Zbl 1309.15035 Bebiano, N.; da Providência, J.; Nata, A.; da Providência, J. P. 1 2015 The numerical range of linear operators on the 2-dimensional Krein space. Zbl 1239.47005 Nakazato, Hiroshi; Bebiano, Natalia; da Providência, João 1 2011 A quasi-Jacobi form for \(J\)-normal matrices and inverse eigenvalue problems. Zbl 1264.15030 Bebiano, N.; Furtado, S.; da Providência, J. 1 2012 Algebraic curves associated with centrosymmetric matrices of orders up to 6. Zbl 07952244 Bebiano, N.; Lemos, R.; Soares, G. 1 2024 Nearness results for real tridiagonal \(2\)-Toeplitz matrices. Zbl 1463.65067 Bebiano, Natália; Furtado, Susana 1 2019 Determinantal inequalities for \(J\)-accretive dissipative matrices. Zbl 1413.15038 Bebiano, Natália; da Providência, João 1 2017 Approximations for von Neumann and Rényi entropies of graphs using the Euler-Maclaurin formula. Zbl 1394.05067 Bebiano, Natália; Furtado, Susana; da Providência, João; Xu, Wei-Ru; da Providência, João P. 1 2018 A Fiedler-type theorem for the determinant of \(J\)-positive matrices. Zbl 1344.15005 Bebiano, Natália; da Providência, João 1 2016 Applied and computational matrix analysis. MAT-TRIAD, Coimbra, Portugal, September 7–11, 2015. Selected, revised contributions. Zbl 1369.65002 1 2017 An inverse eigenvalue problem for doubly periodic pseudo-Jacobi matrices. Zbl 1480.65088 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 1 2022 How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable? Zbl 1486.81162 Xu, Wei-Ru; Gong, Yi; Bebiano, Natália; Chen, Guo-Liang 1 2022 Algebraic curves associated with centrosymmetric matrices of orders up to 6. Zbl 07952244 Bebiano, N.; Lemos, R.; Soares, G. 1 2024 On the numerical range of Kac-Sylvester matrices. Zbl 1522.15022 Bebiano, Natália; Lemos, Rute; Soares, Graça 3 2023 A reduction algorithm for reconstructing periodic Jacobi matrices in Minkowski spaces. Zbl 1510.65074 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 2 2022 An inverse eigenvalue problem for doubly periodic pseudo-Jacobi matrices. Zbl 1480.65088 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 1 2022 How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable? Zbl 1486.81162 Xu, Wei-Ru; Gong, Yi; Bebiano, Natália; Chen, Guo-Liang 1 2022 On Kippenhahn curves and higher-rank numerical ranges of some matrices. Zbl 1478.15031 Bebiano, Natália; da Providéncia, Joáo; Spitkovsky, Ilya M. 7 2021 An inverse eigenvalue problem for modified pseudo-Jacobi matrices. Zbl 1459.65052 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 6 2021 Reciprocal matrices: properties and approximation by a transitive matrix. Zbl 1449.15081 Bebiano, Natália; Fernandes, Rosário; Furtado, Susana 5 2020 Remarks on anti-tridiagonal matrices. Zbl 1437.15017 Bebiano, Natália; Furtado, Susana 4 2020 Toward non-Hermitian quantum statistical thermodynamics. Zbl 1439.81096 Bebiano, N.; da Providência, J.; da Providência, J. P. 2 2020 An inverse eigenvalue problem for pseudo-Jacobi matrices. Zbl 1429.65081 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 6 2019 On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. Zbl 1431.65052 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 4 2019 A reducing approach for symmetrically sparse banded and anti-banded matrices. Zbl 1420.15011 Bebiano, Natália; Furtado, Susana 3 2019 Non-self-adjoint operators with real spectra and extensions of quantum mechanics. Zbl 1406.81034 Bebiano, N.; da Providência, J. 3 2019 Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata. Zbl 1461.65056 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 3 2019 Nearness results for real tridiagonal \(2\)-Toeplitz matrices. Zbl 1463.65067 Bebiano, Natália; Furtado, Susana 1 2019 Non-Hermitian quantum mechanics of bosonic operators. Zbl 1428.81087 Bebiano, Natália; da Providência, João; da Providência, J. P. 13 2018 Structured distance to normality of tridiagonal matrices. Zbl 1392.65085 Bebiano, Natália; Furtado, Susana 8 2018 Approximations for von Neumann and Rényi entropies of graphs using the Euler-Maclaurin formula. Zbl 1394.05067 Bebiano, Natália; Furtado, Susana; da Providência, João; Xu, Wei-Ru; da Providência, João P. 1 2018 On the generalized free energy inequality. Zbl 1373.47007 Bebiano, Natalia; da Providência, Joao 2 2017 Fields of values of linear pencils and spectral inclusion regions. Zbl 1402.65032 Bebiano, Natália; da Providência, João; Nata, Ana; da Providência, João P. 2 2017 The characteristic polynomial of linear pencils of small size and the numerical range. Zbl 1400.15021 Bebiano, Natália; da Providência, João; Esmaeili, Fatemeh 2 2017 Determinantal inequalities for \(J\)-accretive dissipative matrices. Zbl 1413.15038 Bebiano, Natália; da Providência, João 1 2017 Applied and computational matrix analysis. MAT-TRIAD, Coimbra, Portugal, September 7–11, 2015. Selected, revised contributions. Zbl 1369.65002 1 2017 The EMM and the spectral analysis of a non self-adjoint Hamiltonian on an infinite dimensional Hilbert space. Zbl 1402.81153 Bebiano, Natalia; da Providência, João 2 2016 A Fiedler-type theorem for the determinant of \(J\)-positive matrices. Zbl 1344.15005 Bebiano, Natália; da Providência, João 1 2016 Computing the numerical range of Krein space operators. Zbl 1310.65058 Bebiano, Natalia; da Providência, J.; Nata, A.; da Providência, J. P. 2 2015 An inverse indefinite numerical range problem. Zbl 1309.15035 Bebiano, N.; da Providência, J.; Nata, A.; da Providência, J. P. 1 2015 Revisiting the inverse field of values problem. Zbl 1310.15034 Bebiano, Natália; da Providência, João; Nata, Ana; da Providência, João P. 4 2014 A note on the convexity of the indefinite joint numerical range. Zbl 1339.47009 Nakazato, Hiroshi; Bebiano, Natália; da Providência, João 1 2014 The numerical range of banded 2-Toeplitz operators in spaces with an indefinite metric. Zbl 1315.47005 Bebiano, N.; da Providência, J.; Nata, A. 1 2014 Krein space numerical ranges: compressions and dilations. Zbl 1302.47057 Bebiano, N.; da Providencia, J. 1 2014 The numerical range of banded biperiodic Toeplitz operators. Zbl 1283.47030 Bebiano, N.; da Providência, J.; Nata, A. 10 2013 Inverse spectral problems for structured pseudo-symmetric matrices. Zbl 1281.15006 Bebiano, Natália; da Providência, João 7 2013 An algorithm for constructing a pseudo-Jacobi matrix from given spectral data. Zbl 1281.47015 Bebiano, Natália; Furtado, Susana; da Providência, Joâo 6 2013 Direct and inverse spectral problems for a class of non-self-adjoint periodic tridiagonal matrices. Zbl 1283.15031 Bebiano, Natália; Tyaglov, Mikhail 2 2013 Numerical ranges of quadratic operators in spaces with an indefinite metric. Zbl 1283.15068 Bebiano, N.; da Providência, J. 1 2013 The main diagonal products of \( 3 \times 3\) normal matrices whose eigenvalues are the third roots of unity. Zbl 1298.15042 Nakazato, Hiroshi; Kovačec, Alexander; Bebiano, Natália; da Providência, João 1 2013 Numerical ranges of Toeplitz operators with matrix symbols. Zbl 1248.47005 Bebiano, Natalia; Spitkovsky, Ilya M. 12 2012 Operator inequalities for \(J\)-contractions. Zbl 1268.15020 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 5 2012 On a reverse Heinz-Kato-Furuta inequality. Zbl 1258.15005 Bebiano, N.; Lemos, R.; da Providência, J. 4 2012 Corrigendum: Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results. Zbl 1254.15021 Bebiano, N.; da Providência, J. 2 2012 Tsallis entropies and matrix trace inequalities in quantum statistical mechanics. Zbl 1278.82024 Bebiano, N.; da Providência, J.; da Providência, J. P. 1 2012 A quasi-Jacobi form for \(J\)-normal matrices and inverse eigenvalue problems. Zbl 1264.15030 Bebiano, N.; Furtado, S.; da Providência, J. 1 2012 Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results. Zbl 1215.15016 Bebiano, N.; da Providência, J. 20 2011 An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Zbl 1259.15011 Bebiano, Natália; da Fonseca, C. M.; da Providência, João 10 2011 On the eigenvalues of principal submatrices of \(J\)-normal matrices. Zbl 1229.15009 Bebiano, N.; Furtado, S.; da Providência, J. 3 2011 The numerical range of linear operators on the 2-dimensional Krein space. Zbl 1239.47005 Nakazato, Hiroshi; Bebiano, Natalia; da Providência, João 1 2011 Classes of non-Hermitian operators with real eigenvalues. Zbl 1237.47044 Bebiano, Natalia; Da Providencia, Joao; Da Providencia, Joao P. 11 2010 Further developments of Furuta inequality of indefinite type. Zbl 1200.47049 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 7 2010 Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for \(J\)-Hermitian and \(J\)-normal matrices. Zbl 1194.15015 Bebiano, N.; Furtado, S.; da Providência, J. 2 2010 Convexity of the Krein space tracial numerical range and Morse theory. Zbl 1241.47005 Bebiano, Natália; Nakazato, Hiroshi; da Providência, João 2 2010 Trace inequalities for logarithms and powers of J-Hermitian matrices. Zbl 1193.15016 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 1 2010 Indefinite numerical range of \(3\times 3\) matrices. Zbl 1224.15043 Bebiano, N.; da Providência, J.; Teixeira, R. 4 2009 On the Courant–Fischer theory for Krein spaces. Zbl 1168.47004 Bebiano, N.; Nakazato, H.; da Providência, J. 1 2009 Krein spaces numerical ranges and their computer generation. Zbl 1147.15017 Bebiano, Natalia; da Providência, Joao; Nata, Ana Cristina; Pereira Soares, Maria da Graca 5 2008 The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities. Zbl 1144.15020 Nakazato, Hiroshi; Bebiano, Natália; da Providência, João 5 2008 Flat portions on the boundary of the indefinite numerical range of \(3\times 3\) matrices. Zbl 1144.15016 Bebiano, N.; da Providência, J.; Teixeira, R. 3 2008 The numerical range of 2-dimensional Krein space operators. Zbl 1141.15025 Nakazato, Hiroshi; Bebiano, Natália; da Providência, João 3 2008 Product of diagonal entries of the unitary orbit of a 3-by-3 normal matrix. Zbl 1143.15030 Nakazato, Hiroshi; Bebiano, Natália; da Providência, João 2 2008 Inequalities for quantum relative entropy. Zbl 1076.15019 Bebiano, N.; Lemos, R.; da Providência, J. 28 2005 Inequalities for \(J\)-Hermitian matrices. Zbl 1091.15024 Bebiano, N.; Nakazato, H.; Da Providência, J.; Lemos, R.; Soares, G. 13 2005 On the geometry of numerical ranges in spaces with an indefinite inner product. Zbl 1078.15020 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 10 2005 Three observations on the determinantal range. Zbl 1074.15032 Bebiano, N.; Soares, G. 4 2005 \(J\)-orthostochastic matrices of size \(3 \times 3\) and numerical ranges of Krein space operators. Zbl 1081.15014 Nakazato, Hiroshi; Bebiano, Natália; Da Providência, João 4 2005 Ruy Luís Gomes – life and work. (Ruy Luís Gomes – vida e obra.) Zbl 1161.01312 Bebiano, Natália 1 2005 Matrix inequalities in statistical mechanics. Zbl 1037.15016 Bebiano, N.; da Providência, J. jun.; Lemos, R. 21 2004 On generalized numerical ranges of operators on an indefinite inner product space. Zbl 1059.15029 Bebiano, N.; Lemos, R.; da Providência, J.; Soares, G. 20 2004 Numerical ranges of unbounded operators arising in quantum physics. Zbl 1075.47004 Bebiano, N.; Lemos, R.; da Providência, J. 5 2004 Generalized numerical ranges of permanental compounds arising from quantum systems of bosons. Zbl 0963.15031 Bebiano, Natália; Li, Chi-Kwong; Da Providência, João 3 2000 Numerical ranges in physics. Zbl 0897.15014 Bebiano, Natália; da Providência, João 6 1998 Extremal matrices in certain determinantal inequalities. Zbl 0928.15013 Bebiano, Natália; Perdigão, Cecília 1 1998 Determinant of the sum of a symmetric and a skew-symmetric matrix. Zbl 0878.15002 Bebiano, Natália; Li, Chi-Kwong; da Providência, João 2 1997 Mathematical horizons: Light and darkness in Portugal in the 18th century. Zbl 0859.01013 Bebiano, Natália 1 1996 The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices. Zbl 0801.15005 Bebiano, Natália; Kovačec, Alexander; da Providência, João 7 1994 Some geometrical properties of the \(c\)-numerical range of a normal matrix. Zbl 0814.15024 Bebiano, Natália; da Providência, João 1 1994 Some results on the numerical range of a derivation. Zbl 0789.15030 Bebiano, Natália; Li, Chi-Kwong; da Providência, João 5 1993 Product of diagonal elements of matrices. Zbl 0774.15017 Bebiano, Natália; Li, Chi-Kwong; da Providência, João 4 1993 Interdependence of some problems arising in generalizing the Marcus-de Oliveira determinantal conjecture. Zbl 0804.15007 Merikoski, J. Kaarlo; Virtanen, Ari; Bebiano, Natália; da Providência, João 2 1993 A brief survey on the decomposable numerical range of matrices. Zbl 0764.15013 Bebiano, Natália; Li, Chi-Kwong 7 1992 The numerical range and decomposable numerical range of matrices. Zbl 0746.15019 Bebiano, Natália; Li, Chi-Kwong; Da Providência, João 4 1991 Some remarks on a conjecture of de Oliveira. Zbl 0658.15004 Bebiano, Natália; da Providência, João 9 1988 On C-det spectral and C-det convex matrices. Zbl 0678.15023 Bebiano, Natália; Poon, Yiu-Tung; da Providência, João 3 1988 On the boundary of the C-numerical range of a normal matrix. Zbl 0644.15017 Bebiano, Natália; Da Providência, João 2 1988 On a conjecture of G. N. de Oliveira on determinants. Zbl 0612.15001 Bebiano, Natália; Merikoski, Jorma Kaarlo; da Providência, João 10 1987 Nondifferentiable points of \(\partial W_ c(A)\). Zbl 0592.15013 Bebiano, Natália 18 1986 Some analogies between the c-numerical range and a certain variation on this concept. Zbl 0613.15023 Bebiano, Natália 6 1986 Matrices satisfying a conjecture of G. N. de Oliveira on determinants. Zbl 0592.15003 da Providência, João; Bebiano, N. 5 1986 Some variations on the concept of the c-numerical range. Zbl 0613.15022 Bebiano, Natália 2 1986 On the determinant of certain strictly dissipative matrices. Zbl 0625.15005 Bebiano, Natália; da Providência, João 2 1986 The determinant of the sum of two normal matrices with prescribed eigenvalues. Zbl 0576.15006 Bebiano, Natália; Queiró, João Filipe 6 1985 On the evaluation of permanents. Zbl 0512.15004 Bebiano, Natalia 5 1982 all cited Publications top 5 cited Publications all top 5 Cited by 209 Authors 71 Bebiano, Natália Isabel Quadros 43 da Providência Santarém e Costa, João 17 Lemos, Rute 17 Nakazato, Hiroshi 15 Pereira Soares, Maria da Graca 14 Bagarello, Fabio 14 Li, Chi-Kwong 12 Furtado, Susana 9 da Providencia e Costa, Joao Pinheiro 9 Xu, Weiru 7 Chen, Guoliang 7 Nata, Ana 6 Chien, Mao-Ting 5 Ao, Jijun 5 Fujii, Masatoshi 5 Furuichi, Shigeru 5 Furuta, Takayuki 5 Inoue, Hiroshi 5 Tam, Tin-Yau 5 Zhang, Liang 4 Drury, Stephen William 4 Guterman, Alexander Èmilevich 4 Itzá-Ortiz, Benjamin A. 4 Martínez-Avendaño, Rubén A. 4 Seo, Yuki 3 Chen, Alatancang 3 Cheng, Cheman 3 da Fonseca, Carlos Martins 3 Fernandes, Rosário 3 Kovačec, Alexander 3 Merikoski, Jorma Kaarlo 3 Moslehian, Mohammad Sal 3 Muhammad, Ahmed 3 Nakamoto, Ritsuo 3 Spitkovsky, Ilya Matvey 3 Weis, Stephan 3 Wu, Deyu 3 Życzkowski, Karol 2 Bakherad, Mojtaba 2 Bapat, Ravindra Bhalchandra 2 Dai, Ying 2 Gargano, Francesco 2 Gawron, Piotr 2 Hatinoğlu, Burak 2 Kittaneh, Fuad 2 Kuriyama, Ken 2 Lim, Yongdo 2 Losonczi, László 2 Man, Wai Yip 2 Matsumoto, Akemi 2 Miszczak, Jaroslaw Adam 2 Patton, Linda J. 2 Poon, Yiu-Tung 2 Puchała, Zbigniew 2 Shi, Jian 2 Skowronek, Łukasz 2 Triolo, Salvatore 2 Virtanen, Ari 2 Yanagi, Kenjiro 2 Zaharia, Alexandru 1 Ahmadi Kakavandi, Bijan 1 Ahn, Eunkyung 1 Aici, Soumia 1 Aretaki, Aikaterini 1 Azeez, Berivan 1 Bakke, Knut 1 Bardhan, Bijoya 1 Beckers, Danny J. 1 Begović Kovač, Erna 1 Birbonshi, Riddhick 1 Bolourchian, Elahe 1 Burnett, Shelby L. 1 Carden, Russell L. 1 Chakraborty, Bikshan 1 Chandler, Ashley 1 Chirikjian, Gregory S. 1 Choi, Man-Duen 1 Chorianopoulos, Christos 1 Cload, Bruce A. 1 da Cruz, Henrique F. 1 Darvish, Vahid 1 Denton, Peter B. 1 Dirr, Gunther 1 Dodonov, Alexandre V. 1 Dodonov, Victor V. 1 Du, Zhibin 1 Dutta, Supriyo 1 Eakins, Jerik 1 Effati, Sohrab 1 El-Nabulsi, Rami Ahmad 1 Esmaeili, Fatemeh Sadat Seyed 1 Feinberg, Joshua 1 Feng, Tingting 1 Forrester, Peter J. 1 Frakis, Abdelkader 1 Frendreiss, William 1 Fu, Yongqiang 1 Fujii, Jun Ichi 1 Gan, Luyining 1 Glaser, Steffen J. ...and 109 more Authors all top 5 Cited in 71 Serials 71 Linear Algebra and its Applications 39 Linear and Multilinear Algebra 14 Journal of Mathematical Physics 7 Journal of Mathematical Analysis and Applications 7 Applied Mathematics and Computation 6 Advances in Operator Theory 5 Operators and Matrices 4 Journal of Computational and Applied Mathematics 3 Numerical Linear Algebra with Applications 2 International Journal of Theoretical Physics 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Bulletin of the Iranian Mathematical Society 2 International Journal of Approximate Reasoning 2 Annals of Physics 2 ELA. The Electronic Journal of Linear Algebra 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Inverse Problems in Science and Engineering 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Special Matrices 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Optimization Theory and Applications 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Optimization 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Operational Research 1 Glasnik Matematički. Serija III 1 Historia Mathematica 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Chaos 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 AKCE International Journal of Graphs and Combinatorics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proyecciones 1 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis 1 Involve 1 Revista Brasileira de História da Matemática 1 Analysis and Mathematical Physics 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Algebra and Geometry 1 Electronic Research Archive all top 5 Cited in 34 Fields 160 Linear and multilinear algebra; matrix theory (15-XX) 92 Operator theory (47-XX) 35 Quantum theory (81-XX) 24 Numerical analysis (65-XX) 19 Functional analysis (46-XX) 12 Information and communication theory, circuits (94-XX) 11 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Algebraic geometry (14-XX) 8 Combinatorics (05-XX) 7 Partial differential equations (35-XX) 6 Real functions (26-XX) 6 Statistics (62-XX) 5 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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