Du, Zhibin; da Fonseca, Carlos M. The determinants of certain double banded \((0,1)\) Toeplitz matrices. (English) Zbl 07777197 Miskolc Math. Notes 24, No. 3, 1307-1315 (2023). MSC: 15A15 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Miskolc Math. Notes 24, No. 3, 1307--1315 (2023; Zbl 07777197) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. The number of P-vertices for acyclic matrices with given nullity. (English) Zbl 1522.05276 Discrete Math. 346, No. 12, Article ID 113592, 17 p. (2023). MSC: 05C50 05C05 15A18 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Discrete Math. 346, No. 12, Article ID 113592, 17 p. (2023; Zbl 1522.05276) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. The characterization of the minimal weighted acyclic graphs. (English) Zbl 1517.05068 Linear Algebra Appl. 672, 75-92 (2023). MSC: 05C22 05C35 05C50 05C12 05C05 15A18 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Linear Algebra Appl. 672, 75--92 (2023; Zbl 1517.05068) Full Text: DOI
da Fonseca, Carlos M.; Kızılateş, Can; Terzioğlu, Nazlıhan A second-order difference equation with sign-alternating coefficients. (English) Zbl 1525.39004 Kuwait J. Sci. 50, No. 2A, Article No. 1, 8 p. (2023). MSC: 39A10 11B37 11B39 33C45 15B05 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Kuwait J. Sci. 50, No. 2A, Article No. 1, 8 p. (2023; Zbl 1525.39004) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. A periodic determinantal property for \((0,1)\) double banded matrices. (English) Zbl 1505.15007 Linear Multilinear Algebra 70, No. 20, 5316-5328 (2022). MSC: 15A15 15B05 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Linear Multilinear Algebra 70, No. 20, 5316--5328 (2022; Zbl 1505.15007) Full Text: DOI
da Fonseca, Carlos M.; Kowalenko, Victor On tridiagonal matrices associated with Jordan blocks. (English) Zbl 1504.15090 Acta Univ. Sapientiae, Math. 14, No. 1, 61-74 (2022). MSC: 15B05 15A20 15A18 33C45 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{V. Kowalenko}, Acta Univ. Sapientiae, Math. 14, No. 1, 61--74 (2022; Zbl 1504.15090) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. An identity involving derangement numbers and Bell numbers. (English) Zbl 1513.05005 Appl. Anal. Discrete Math. 16, No. 2, 485-494 (2022). MSC: 05A05 05A10 15A15 11B37 11C20 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Appl. Anal. Discrete Math. 16, No. 2, 485--494 (2022; Zbl 1513.05005) Full Text: DOI
Andelic, Milica; Da Fonseca, Carlos M.; Kilic, Emrah; Stanic, Zoran A Sylvester-Kac matrix type and the Laplacian controllability of half graphs. (English) Zbl 1500.15022 Electron. J. Linear Algebra 38, 559-571 (2022). Reviewer: Francisco Marcellán (Leganes) MSC: 15B05 15A18 15B36 05C50 93B05 PDFBibTeX XMLCite \textit{M. Andelic} et al., Electron. J. Linear Algebra 38, 559--571 (2022; Zbl 1500.15022) Full Text: Link
Du, Zhibin; da Fonseca, Carlos M.; Pereira, António On determinantal recurrence relations of banded matrices. (English) Zbl 1499.15023 Kuwait J. Sci. 49, No. 1, Article 3, 9 p. (2022). MSC: 15A15 15B05 PDFBibTeX XMLCite \textit{Z. Du} et al., Kuwait J. Sci. 49, No. 1, Article 3, 9 p. (2022; Zbl 1499.15023) Full Text: DOI
Du, Zhibin; Dimitrov, Darko; da Fonseca, Carlos M. New strong divisibility sequences. (English) Zbl 1512.11016 Ars Math. Contemp. 22, No. 1, Paper No. 8, 13 p. (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11B37 11B39 11B83 15B05 33C45 PDFBibTeX XMLCite \textit{Z. Du} et al., Ars Math. Contemp. 22, No. 1, Paper No. 8, 13 p. (2022; Zbl 1512.11016) Full Text: DOI
da Fonseca, Carlos M. Some comments on the properties of a particular tridiagonal matrix. (English) Zbl 1484.15034 J. Discrete Math. Sci. Cryptography 24, No. 1, 49-51 (2021). Reviewer: Francisco Marcellán (Leganes) MSC: 15B05 15A18 42C05 33C45 47B36 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, J. Discrete Math. Sci. Cryptography 24, No. 1, 49--51 (2021; Zbl 1484.15034) Full Text: DOI
da Fonseca, Carlos M. On some quasi anti-tridiagonal matrices. (English) Zbl 1487.15036 J. Discrete Math. Sci. Cryptography 24, No. 4, 1043-1052 (2021). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15B05 15A15 15A18 11C20 11B39 11B83 05C50 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, J. Discrete Math. Sci. Cryptography 24, No. 4, 1043--1052 (2021; Zbl 1487.15036) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M.; Xu, Yingqiu; Ye, Jiahao Disproving a conjecture of Thornton on Bohemian matrices. (English) Zbl 1481.15038 Open Math. 19, 505-514 (2021). Reviewer: Rosário Fernandes (Lisboa) MSC: 15B99 15A15 PDFBibTeX XMLCite \textit{Z. Du} et al., Open Math. 19, 505--514 (2021; Zbl 1481.15038) Full Text: DOI
Anđelić, Milica; da Fonseca, Carlos M. Some determinantal considerations for pentadiagonal matrices. (English) Zbl 1481.15002 Linear Multilinear Algebra 69, No. 16, 3121-3129 (2021). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 15B05 33C45 PDFBibTeX XMLCite \textit{M. Anđelić} and \textit{C. M. da Fonseca}, Linear Multilinear Algebra 69, No. 16, 3121--3129 (2021; Zbl 1481.15002) Full Text: DOI
da Fonseca, Carlos M.; Kılıç, Emrah A new type of Sylvester-Kac matrix and its spectrum. (English) Zbl 1462.15038 Linear Multilinear Algebra 69, No. 6, 1072-1082 (2021). MSC: 15B99 15A18 15A15 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{E. Kılıç}, Linear Multilinear Algebra 69, No. 6, 1072--1082 (2021; Zbl 1462.15038) Full Text: DOI
Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António Explicit determinantal formula for a class of banded matrices. (English) Zbl 1478.15010 Open Math. 18, 1227-1229 (2020). MSC: 15A15 15B05 33C45 PDFBibTeX XMLCite \textit{Y. Amanbek} et al., Open Math. 18, 1227--1229 (2020; Zbl 1478.15010) Full Text: DOI
da Fonseca, Carlos M. On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers. (English) Zbl 1498.15035 Acta Univ. Sapientiae, Math. 12, No. 2, 280-286 (2020). MSC: 15B05 11B39 15A15 15B36 33C45 39A10 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Acta Univ. Sapientiae, Math. 12, No. 2, 280--286 (2020; Zbl 1498.15035) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. On the Bruhat rank of a Boolean F-matrix. (English) Zbl 1488.15064 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 1, 43-49 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15B34 15A03 15B33 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 1, 43--49 (2020; Zbl 1488.15064)
Hacioglu, Ilhan; Da Fonseca, Carlos M. Nonexistence of square roots of directed strongly regular graphs. (English) Zbl 1473.05324 Util. Math. 116, 119-123 (2020). Reviewer: Djoko Suprijanto (Bandung) MSC: 05E30 05C50 05C20 15B36 PDFBibTeX XMLCite \textit{I. Hacioglu} and \textit{C. M. Da Fonseca}, Util. Math. 116, 119--123 (2020; Zbl 1473.05324)
da Fonseca, Carlos M.; Kılıç, Emrah An observation on the determinant of a Sylvester-Kac type matrix. (English) Zbl 1488.15011 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 1, 111-115 (2020). MSC: 15A15 15A18 15B30 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{E. Kılıç}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 1, 111--115 (2020; Zbl 1488.15011) Full Text: DOI arXiv
da Fonseca, Carlos M. A short note on the determinant of a Sylvester-Kac type matrix. (English) Zbl 07336603 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 3-4, 361-362 (2020). MSC: 15A15 15A18 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 3--4, 361--362 (2020; Zbl 07336603) Full Text: DOI
da Fonseca, Carlos M.; Kowalenko, Victor; Losonczi, László Ninety years of \(k\)-tridiagonal matrices. (English) Zbl 1474.15067 Stud. Sci. Math. Hung. 57, No. 3, 298-311 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15B05 15A18 15A03 01A60 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Stud. Sci. Math. Hung. 57, No. 3, 298--311 (2020; Zbl 1474.15067) Full Text: DOI
Da Fonseca, Carlos M.; Losonczi, László On the determinant of general pentadiagonal matrices. (English) Zbl 1474.15069 Publ. Math. Debr. 97, No. 3-4, 507-523 (2020). Reviewer: István Faragó (Budapest) MSC: 15B05 15A15 PDFBibTeX XMLCite \textit{C. M. Da Fonseca} and \textit{L. Losonczi}, Publ. Math. Debr. 97, No. 3--4, 507--523 (2020; Zbl 1474.15069) Full Text: DOI
da Fonseca, Carlos M.; Losonczi, László On some pentadiagonal matrices: their determinants and inverses. (English) Zbl 1474.15068 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 39-50 (2020). MSC: 15B05 15A15 15A09 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{L. Losonczi}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 39--50 (2020; Zbl 1474.15068) Full Text: Link
da Fonseca, Carlos M.; Kılıç, Emrah; Pereira, António The interesting spectral interlacing property for a certain tridiagonal matrix. (English) Zbl 1450.15009 Electron. J. Linear Algebra 36, 587-598 (2020). Reviewer: Antoine Mhanna (Kfardebian) MSC: 15A20 15A18 15A15 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Electron. J. Linear Algebra 36, 587--598 (2020; Zbl 1450.15009) Full Text: Link
da Fonseca, Carlos M. On a closed form for derangement numbers: an elementary proof. (English) Zbl 1442.05005 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 146, 4 p. (2020). MSC: 05A05 05A15 05A10 15A15 05B20 11B37 11C20 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 146, 4 p. (2020; Zbl 1442.05005) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M.; Losonczi, László On nonsingular acyclic M-matrices whose inverse is also acyclic. (English) Zbl 1442.15003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 138, 9 p. (2020). MSC: 15A09 05C20 05C22 05C50 PDFBibTeX XMLCite \textit{Z. Du} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 138, 9 p. (2020; Zbl 1442.15003) Full Text: DOI
Da Fonseca, C. M.; Kowalenko, V. Eigenpairs of a family of tridiagonal matrices: three decades later. (English) Zbl 1449.15012 Acta Math. Hung. 160, No. 2, 376-389 (2020). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A18 15B05 PDFBibTeX XMLCite \textit{C. M. Da Fonseca} and \textit{V. Kowalenko}, Acta Math. Hung. 160, No. 2, 376--389 (2020; Zbl 1449.15012) Full Text: DOI
Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah A matrix approach to some second-order difference equations with sign-alternating coefficients. (English) Zbl 1472.39004 J. Difference Equ. Appl. 26, No. 2, 149-162 (2020). MSC: 39A10 11B37 11B39 15A15 15B05 15B36 PDFBibTeX XMLCite \textit{M. Anđelić} et al., J. Difference Equ. Appl. 26, No. 2, 149--162 (2020; Zbl 1472.39004) Full Text: DOI
da Fonseca, Carlos M. Comments on the spectrum of a tridiagonal \(k\)-Toeplitz matrix. (English) Zbl 1435.15007 J. Comput. Appl. Math. 375, Article ID 112793, 3 p. (2020). MSC: 15A18 65F15 15B05 42C05 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, J. Comput. Appl. Math. 375, Article ID 112793, 3 p. (2020; Zbl 1435.15007) Full Text: DOI
da Fonseca, Carlos M. Letter to the editor: Eigenpairs of some particular band Toeplitz matrices: a comment. (English) Zbl 1463.65069 Numer. Linear Algebra Appl. 27, No. 1, e2270, 3 p. (2020). MSC: 65F15 15B05 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Numer. Linear Algebra Appl. 27, No. 1, e2270, 3 p. (2020; Zbl 1463.65069) Full Text: DOI
Du, Zhibin; Da Fonseca, Carlos M. The number of P-vertices of singular acyclic matrices: an inverse problem. (English) Zbl 1434.15008 Discuss. Math., Graph Theory 40, No. 2, 525-532 (2020). MSC: 15A18 15A29 05C50 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. Da Fonseca}, Discuss. Math., Graph Theory 40, No. 2, 525--532 (2020; Zbl 1434.15008) Full Text: DOI
Da Fonseca, Carlos M. Remarks on the eigenpairs of some Jacobi matrices. (English) Zbl 1499.15028 Filomat 33, No. 14, 4429-4431 (2019). MSC: 15A18 11C20 47B36 PDFBibTeX XMLCite \textit{C. M. Da Fonseca}, Filomat 33, No. 14, 4429--4431 (2019; Zbl 1499.15028) Full Text: DOI
da Fonseca, Carlos M.; Anđelić, Milica A short proof for a determinantal formula for generalized Fibonacci numbers. (English) Zbl 1477.11032 Matematiche 74, No. 2, 363-367 (2019). MSC: 11B39 11C20 15A15 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{M. Anđelić}, Matematiche 74, No. 2, 363--367 (2019; Zbl 1477.11032) Full Text: Link
da Fonseca, Carlos M. The \(\mu\)-permanent revisited. (English) Zbl 1420.15006 Linear Multilinear Algebra 67, No. 8, 1713-1714 (2019). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 05C50 05C05 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Linear Multilinear Algebra 67, No. 8, 1713--1714 (2019; Zbl 1420.15006) Full Text: DOI arXiv
Alazemi, Abdullah; Anđelić, Milica; da Fonseca, Carlos M.; Sergeichuk, Vladimir V. Lipschitz property for systems of linear mappings and bilinear forms. (English) Zbl 1414.15013 Linear Algebra Appl. 573, 26-36 (2019). MSC: 15A21 15A63 16G20 05C50 PDFBibTeX XMLCite \textit{A. Alazemi} et al., Linear Algebra Appl. 573, 26--36 (2019; Zbl 1414.15013) Full Text: DOI arXiv
Anđelić, Milica; da Fonseca, Carlos M. Some comments on tridiagonal \((p,r)\)-Toeplitz matrices. (English) Zbl 1414.15036 Linear Algebra Appl. 572, 46-50 (2019). MSC: 15B05 15A18 65F15 42C05 PDFBibTeX XMLCite \textit{M. Anđelić} and \textit{C. M. da Fonseca}, Linear Algebra Appl. 572, 46--50 (2019; Zbl 1414.15036) Full Text: DOI
da Fonseca, Carlos M. The eigenvalues of some anti-tridiagonal Hankel matrices. (English) Zbl 1474.15066 Kuwait J. Sci. 45, No. 1, 1-6 (2018). MSC: 15B05 15A18 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Kuwait J. Sci. 45, No. 1, 1--6 (2018; Zbl 1474.15066) Full Text: Link
Das, Kinkar Ch.; da Fonseca, Carlos M. Some spectral bounds for the harmonic matrix. (English) Zbl 1424.15062 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 25, No. 3, 73-82 (2017). MSC: 15B99 15A18 PDFBibTeX XMLCite \textit{K. Ch. Das} and \textit{C. M. da Fonseca}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 25, No. 3, 73--82 (2017; Zbl 1424.15062) Full Text: DOI
da Fonseca, Carlos M.; Futorny, Vyacheslav; Rybalkina, Tetiana; Sergeichuk, Vladimir V. Topological classification of systems of bilinear and sesquilinear forms. (English) Zbl 1355.15017 Linear Algebra Appl. 515, 1-5 (2017). MSC: 15A63 37C15 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Linear Algebra Appl. 515, 1--5 (2017; Zbl 1355.15017) Full Text: DOI arXiv
Du, Zhibin; da Fonseca, Carlos M. The singular acyclic matrices of even order with a P-set of maximum size. (English) Zbl 1461.15025 Filomat 30, No. 13, 3403-3409 (2016). MSC: 15A45 15A18 05B20 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Filomat 30, No. 13, 3403--3409 (2016; Zbl 1461.15025) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. The Bruhat rank of a binary symmetric staircase pattern. (English) Zbl 1351.05039 Open Math. 14, 832-840 (2016). MSC: 05B20 06A07 15B36 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Open Math. 14, 832--840 (2016; Zbl 1351.05039) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. The real symmetric matrices of odd order with a P-set of maximum size. (English) Zbl 1413.15015 Czech. Math. J. 66, No. 3, 1007-1026 (2016). MSC: 15A18 05C50 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Czech. Math. J. 66, No. 3, 1007--1026 (2016; Zbl 1413.15015) Full Text: DOI Link
Dmytryshyn, Andrii; da Fonseca, Carlos M.; Rybalkina, Tetiana Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace. (English) Zbl 1348.15008 Linear Algebra Appl. 509, 228-246 (2016). MSC: 15A21 15A22 15A04 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Linear Algebra Appl. 509, 228--246 (2016; Zbl 1348.15008) Full Text: DOI
da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V. Topological classification of sesquilinear forms: reduction to the nonsingular case. (English) Zbl 1381.15013 Linear Algebra Appl. 504, 581-589 (2016). MSC: 15A63 15A21 15B33 37J40 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Linear Algebra Appl. 504, 581--589 (2016; Zbl 1381.15013) Full Text: DOI arXiv
da Fonseca, Carlos M.; Huynh, Dinh Van; Kirkland, Steve; Vu Kim Tuan A panorama of mathematics: pure and applied. Conference mathematics and its applications, Kuwait University, Safat, Kuwait, November 14–17, 2014. (English) Zbl 1336.00120 Contemporary Mathematics 658. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1668-3/pbk; 978-1-4704-2902-7/ebook). viii, 279 p. (2016). MSC: 00B25 03-06 15-06 35-06 49-06 65-06 83-06 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., A panorama of mathematics: pure and applied. Conference mathematics and its applications, Kuwait University, Safat, Kuwait, November 14--17, 2014. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1336.00120) Full Text: DOI
da Fonseca, Carlos M.; Yılmaz, Fatih Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion. (English) Zbl 1410.15053 Appl. Math. Comput. 270, 644-647 (2015). MSC: 15B05 15A18 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{F. Yılmaz}, Appl. Math. Comput. 270, 644--647 (2015; Zbl 1410.15053) Full Text: DOI
da Fonseca, Carlos M. Eigenvalues of a certain class of tridiagonal matrices: a brief comment. (English) Zbl 1410.15052 Appl. Math. Comput. 262, 111-112 (2015). MSC: 15B05 15A15 15A18 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Appl. Math. Comput. 262, 111--112 (2015; Zbl 1410.15052) Full Text: DOI
da Fonseca, Carlos M.; Kouachi, Saïd; Mazilu, Dan A.; Mazilu, Irina A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices. (English) Zbl 1390.15098 Appl. Math. Comput. 259, 205-211 (2015). MSC: 15B05 82C20 15A18 15B57 15A21 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Appl. Math. Comput. 259, 205--211 (2015; Zbl 1390.15098) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. The singular acyclic matrices with the second largest number of P-vertices. (English) Zbl 1334.15026 Linear Multilinear Algebra 63, No. 10, 2103-2120 (2015). Reviewer: Mihail Voicu (Iaşi) MSC: 15A18 05C50 15B48 05C05 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Linear Multilinear Algebra 63, No. 10, 2103--2120 (2015; Zbl 1334.15026) Full Text: DOI
Simić, Slobodan K.; Andelić, Milica; Da Fonseca, Carlos M.; Živković, Dejan On the multiplicities of eigenvalues of graphs and their vertex deleted subgraphs: old and new results. (English) Zbl 1323.05083 Electron. J. Linear Algebra 30, 85-105 (2015). MSC: 05C50 05C22 15A18 PDFBibTeX XMLCite \textit{S. K. Simić} et al., Electron. J. Linear Algebra 30, 85--105 (2015; Zbl 1323.05083)
Du, Zhibin; da Fonseca, Carlos M. The acyclic matrices with a P-set of maximum size. (English) Zbl 1307.15012 Linear Algebra Appl. 468, 27-37 (2015). MSC: 15A18 05C50 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Linear Algebra Appl. 468, 27--37 (2015; Zbl 1307.15012) Full Text: DOI
Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander Young-type inequalities and their matrix analogues. (English) Zbl 1316.15023 Linear Multilinear Algebra 63, No. 3, 622-635 (2015). Reviewer: Maryam Khosravi (Kerman) MSC: 15A45 15A60 26D20 15A15 26E60 47A64 PDFBibTeX XMLCite \textit{H. Alzer} et al., Linear Multilinear Algebra 63, No. 3, 622--635 (2015; Zbl 1316.15023) Full Text: DOI
Simić, Slobodan K.; Anđelić, Milica; da Fonseca, Carlos M.; Živković, Dejan Notes on the second largest eigenvalue of a graph. (English) Zbl 1302.05112 Linear Algebra Appl. 465, 262-274 (2015). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. K. Simić} et al., Linear Algebra Appl. 465, 262--274 (2015; Zbl 1302.05112) Full Text: DOI
Shivakumar, P. N. (ed.); Psarrakos, Panayiotis J. (ed.); Sivakumar, K. C. (ed.); Zhang, Yang (ed.); da Fonseca, Carlos M. (ed.) Editorial. Advances in matrices, finite and infinite, with applications 2014. (English) Zbl 1481.00029 J. Appl. Math. 2014, Article ID 518487, 1 p. (2014). MSC: 00B15 15-06 PDFBibTeX XMLCite \textit{P. N. Shivakumar} (ed.) et al., J. Appl. Math. 2014, Article ID 518487, 1 p. (2014; Zbl 1481.00029) Full Text: DOI
Bozkurt, Durmus; da Fonseca, Carlos M.; Yilmaz, Fatih The determinants of circulant and skew-circulant matrices with Tribonacci numbers. (English) Zbl 1384.11053 Math. Sci. Appl. E-Notes 2, No. 2, 67-75 (2014). MSC: 11C20 15A15 11B39 15B36 PDFBibTeX XMLCite \textit{D. Bozkurt} et al., Math. Sci. Appl. E-Notes 2, No. 2, 67--75 (2014; Zbl 1384.11053)
Du, Zhibin; da Fonseca, C. M. Nonsingular acyclic matrices with an extremal number of P-vertices. (English) Zbl 1282.15028 Linear Algebra Appl. 442, 2-19 (2014). MSC: 15B48 15A18 05C50 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Linear Algebra Appl. 442, 2--19 (2014; Zbl 1282.15028) Full Text: DOI
Akbulak, Mehmet; da Fonseca, C. M.; Yılmaz, Fatih The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices. (English) Zbl 1334.15071 Appl. Math. Comput. 225, 352-357 (2013). MSC: 15B05 15A18 PDFBibTeX XMLCite \textit{M. Akbulak} et al., Appl. Math. Comput. 225, 352--357 (2013; Zbl 1334.15071) Full Text: DOI
Erić, Aleksandra; da Fonseca, C. M. Some consequences of an inequality on the spectral multiplicity of graphs. (English) Zbl 1392.05074 Filomat 27, No. 8, 1455-1461 (2013). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{A. Erić} and \textit{C. M. da Fonseca}, Filomat 27, No. 8, 1455--1461 (2013; Zbl 1392.05074) Full Text: DOI
da Fonseca, C. M.; Mazilu, Dan A.; Mazilu, Irina; Williams, H. Thomas The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation. (English) Zbl 1311.15016 Appl. Math. Lett. 26, No. 12, 1206-1211 (2013). MSC: 15A24 15A18 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., Appl. Math. Lett. 26, No. 12, 1206--1211 (2013; Zbl 1311.15016) Full Text: DOI arXiv
Erić, Aleksandra; da Fonseca, C. M. Unordered multiplicity lists of wide double paths. (English) Zbl 1290.05101 Ars Math. Contemp. 6, No. 2, 279-288 (2013). MSC: 05C50 05C05 15A18 05C35 PDFBibTeX XMLCite \textit{A. Erić} and \textit{C. M. da Fonseca}, Ars Math. Contemp. 6, No. 2, 279--288 (2013; Zbl 1290.05101) Full Text: DOI
Erić, Aleksandra; da Fonseca, C. M. The maximum number of P-vertices of some nonsingular double star matrices. (English) Zbl 1281.05091 Discrete Math. 313, No. 20, 2192-2194 (2013). MSC: 05C50 15A18 05B20 PDFBibTeX XMLCite \textit{A. Erić} and \textit{C. M. da Fonseca}, Discrete Math. 313, No. 20, 2192--2194 (2013; Zbl 1281.05091) Full Text: DOI
Andelic, Milica; Erić, Aleksandra; da Fonseca, C. M. Erratum to: “Nonsingular acyclic matrices with full number of \(P\)-vertices”. (English) Zbl 1315.15006 Linear Multilinear Algebra 61, No. 8, 1159-1160 (2013). MSC: 15A18 05C50 05C05 15B57 PDFBibTeX XMLCite \textit{M. Andelic} et al., Linear Multilinear Algebra 61, No. 8, 1159--1160 (2013; Zbl 1315.15006) Full Text: DOI
Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo On the largest size of an antichain in the Bruhat order for \(\mathcal A (2k,k)\). (English) Zbl 1260.05024 Order 30, No. 1, 255-260 (2013). MSC: 05B20 06A07 15B36 PDFBibTeX XMLCite \textit{A. Conflitti} et al., Order 30, No. 1, 255--260 (2013; Zbl 1260.05024) Full Text: DOI
da Fonseca, C. M. Remarks and open problems on the minimum permanent of acyclic doubly stochastic matrices. (English) Zbl 1261.15040 Linear Multilinear Algebra 61, No. 3, 281-293 (2013). MSC: 15B51 15A15 15B34 05C05 15A18 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Linear Multilinear Algebra 61, No. 3, 281--293 (2013; Zbl 1261.15040) Full Text: DOI
Anđelić, Milica; Erić, Aleksandra; Da Fonseca, C. M. Nonsingular acyclic matrices with full number of \(P\)-vertices. (English) Zbl 1276.15006 Linear Multilinear Algebra 61, No. 1, 49-57 (2013); erratum ibid. 61, No. 8, 1159-1160 (2013). Reviewer: Tin Yau Tam (Auburn) MSC: 15A18 05C50 05C05 15B57 PDFBibTeX XMLCite \textit{M. Anđelić} et al., Linear Multilinear Algebra 61, No. 1, 49--57 (2013; Zbl 1276.15006) Full Text: DOI
Du, Zhibin; da Fonseca, C. M. The singular acyclic matrices with maximal number of P-vertices. (English) Zbl 1258.05024 Linear Algebra Appl. 438, No. 5, 2274-2279 (2013). MSC: 05C05 15A18 05C50 PDFBibTeX XMLCite \textit{Z. Du} and \textit{C. M. da Fonseca}, Linear Algebra Appl. 438, No. 5, 2274--2279 (2013; Zbl 1258.05024) Full Text: DOI
da Fonseca, Carlos M. (ed.); Friedland, Shmuel (ed.); Baksalary, Oskar Maria (ed.) Special issue: Selected papers based on the presentations at the conference on directions in matrix theory, Coimbra, Portugal, July 9–10, 2011. (English) Zbl 1253.00028 Electron. J. Linear Algebra 24, 214 p. (2012). MSC: 00B25 15-06 05-06 PDFBibTeX XML Full Text: Link
Sciriha, Irene; da Fonseca, C. M. On the rank spread of graphs. (English) Zbl 1241.05087 Linear Multilinear Algebra 60, No. 1, 73-92 (2012). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{I. Sciriha} and \textit{C. M. da Fonseca}, Linear Multilinear Algebra 60, No. 1, 73--92 (2012; Zbl 1241.05087) 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
Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo The maximal length of a chain in the Bruhat order for a class of binary matrices. (English) Zbl 1236.05046 Linear Algebra Appl. 436, No. 3, 753-757 (2012). Reviewer: Esther R. Lamken (San Francisco) MSC: 05B20 06A07 15B36 PDFBibTeX XMLCite \textit{A. Conflitti} et al., Linear Algebra Appl. 436, No. 3, 753--757 (2012; Zbl 1236.05046) Full Text: DOI
da Fonseca, Carlos Martins An identity between the determinant and the permanent of Hessenberg-type matrices. (English) Zbl 1249.15011 Czech. Math. J. 61, No. 4, 917-921 (2011). MSC: 15A15 05C50 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Czech. Math. J. 61, No. 4, 917--921 (2011; Zbl 1249.15011) Full Text: DOI EuDML Link
Alzer, H.; da Fonseca, C. M. New permanental bounds for Ferrers matrices. (English) Zbl 1228.15002 Linear Algebra Appl. 435, No. 11, 2813-2827 (2011). Reviewer: Ian M. Wanless (Victoria) MSC: 15A15 15A45 15B34 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{C. M. da Fonseca}, Linear Algebra Appl. 435, No. 11, 2813--2827 (2011; Zbl 1228.15002) 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
Anđelić, Milica; da Fonseca, C. M. Sufficient conditions for positive definiteness of tridiagonal matrices revisited. (English) Zbl 1216.15022 Positivity 15, No. 1, 155-159 (2011). MSC: 15B48 15B57 PDFBibTeX XMLCite \textit{M. Anđelić} and \textit{C. M. da Fonseca}, Positivity 15, No. 1, 155--159 (2011; Zbl 1216.15022) Full Text: DOI
Andelić, Milica; da Fonseca, C. M.; Mamede, Ricardo On the number of P-vertices of some graphs. (English) Zbl 1225.05078 Linear Algebra Appl. 434, No. 2, 514-525 (2011). MSC: 05C05 15A18 15B48 05C50 PDFBibTeX XMLCite \textit{M. Andelić} et al., Linear Algebra Appl. 434, No. 2, 514--525 (2011; Zbl 1225.05078) Full Text: DOI
da Fonseca, C. M. The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences. (English) Zbl 1183.15007 Linear Algebra Appl. 432, No. 5, 1258-1266 (2010). MSC: 15A15 15A45 12D10 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Linear Algebra Appl. 432, No. 5, 1258--1266 (2010; Zbl 1183.15007) Full Text: DOI
da Fonseca, C. M.; Mamede, Ricardo Young squares as 0-1 matrices. (Portuguese. English summary) Zbl 1270.15021 Bol. Soc. Port. Mat. 60, 23-33 (2009). MSC: 15B34 05A17 05B20 05C50 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{R. Mamede}, Bol. Soc. Port. Mat. 60, 23--33 (2009; Zbl 1270.15021)
Costa, L.; Da Fonseca, C. M.; Martins, E. A. The number of faces of the tridiagonal Birkhoff polytope. (English. Russian original) Zbl 1185.52007 J. Math. Sci., New York 161, No. 6, 867-877 (2009); translation from Sovrem. Mat. Prilozh. 63 (2009). Reviewer: Stanislav Jendrol’ (Košice) MSC: 52B05 52B12 15A21 PDFBibTeX XMLCite \textit{L. Costa} et al., J. Math. Sci., New York 161, No. 6, 867--877 (2009; Zbl 1185.52007); translation from Sovrem. Mat. Prilozh. 63 (2009) Full Text: DOI
Fernandes, Rosário; da Fonseca, C. M. The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles. (English) Zbl 1180.15020 Linear Multilinear Algebra 57, No. 7, 673-682 (2009). Reviewer: Liu Xinguo (Qingdao) MSC: 15A29 65F18 PDFBibTeX XMLCite \textit{R. Fernandes} and \textit{C. M. da Fonseca}, Linear Multilinear Algebra 57, No. 7, 673--682 (2009; Zbl 1180.15020) Full Text: DOI Link
Costa, Liliana; da Fonseca, C. M.; Martins, Enide Andrade Face counting on an acyclic Birkhoff polytope. (English) Zbl 1169.05301 Linear Algebra Appl. 430, No. 4, 1216-1235 (2009). MSC: 05A15 15B51 PDFBibTeX XMLCite \textit{L. Costa} et al., Linear Algebra Appl. 430, No. 4, 1216--1235 (2009; Zbl 1169.05301) Full Text: DOI
Da Fonseca, C. M. On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree. (English) Zbl 1144.15003 Ann. Mat. Pura Appl., IV. Ser. 187, No. 2, 251-261 (2008). Reviewer: Dragan Stevanović (Niš) MSC: 15A18 15B57 05C50 05C05 05C12 PDFBibTeX XMLCite \textit{C. M. Da Fonseca}, Ann. Mat. Pura Appl. (4) 187, No. 2, 251--261 (2008; Zbl 1144.15003) Full Text: DOI
Costa, Liliana; Da Fonseca, C. M.; Martins, Enide Andrade The diameter of the acyclic Birkhoff polytope. (English) Zbl 1213.05163 Linear Algebra Appl. 428, No. 7, 1524-1537 (2008). MSC: 05C50 05A15 15B51 PDFBibTeX XMLCite \textit{L. Costa} et al., Linear Algebra Appl. 428, No. 7, 1524--1537 (2008; Zbl 1213.05163) Full Text: DOI Link
da Fonseca, C. M.; Marques de Sá, E. Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope. (English) Zbl 1133.05005 Discrete Math. 308, No. 7, 1308-1318 (2008). MSC: 05A15 11B39 52B11 15B51 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{E. Marques de Sá}, Discrete Math. 308, No. 7, 1308--1318 (2008; Zbl 1133.05005) Full Text: DOI
da Fonseca, C. M. The characteristic polynomial of some perturbed tridiagonal \(k\)-Toeplitz matrices. (English) Zbl 1148.15005 Appl. Math. Sci., Ruse 1, No. 1-4, 59-67 (2007). Reviewer: Hu Yong-Jian (Beijing) MSC: 15A18 42C05 33C45 15B57 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Appl. Math. Sci., Ruse 1, No. 1--4, 59--67 (2007; Zbl 1148.15005)
da Fonseca, C. M. On the eigenvalues of some tridiagonal matrices. (English) Zbl 1119.15012 J. Comput. Appl. Math. 200, No. 1, 283-286 (2007). MSC: 15A18 65F15 15B57 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, J. Comput. Appl. Math. 200, No. 1, 283--286 (2007; Zbl 1119.15012) Full Text: DOI
da Fonseca, Carlos M. The inertia of Hermitian matrices with a prescribed \(3\times 3\) block decomposition: an open problem. (English) Zbl 1180.15013 Azenhas, Olga (ed.) et al., Mathematical papers in honour of Eduardo Marques de Sá on the occasion of his 60th birthday. Coimbra: Universidade de Coimbra, Departamento de Matemática (ISBN 978-972-8564-43-8/pbk). Textos de Matemática. Série B 39, 49-60 (2006). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Textos Mat., Sér. B 39, 49--60 (2006; Zbl 1180.15013)
da Fonseca, C. M. On the location of the eigenvalues of Jacobi matrices. (English) Zbl 1176.15027 Appl. Math. Lett. 19, No. 11, 1168-1174 (2006). MSC: 15A42 15B05 42C05 26C10 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Appl. Math. Lett. 19, No. 11, 1168--1174 (2006; Zbl 1176.15027) Full Text: DOI
da Fonseca, C. M. On the inertia sets of some symmetric sign patterns. (English) Zbl 1164.15318 Czech. Math. J. 56, No. 3, 875-883 (2006). MSC: 15A18 15B36 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Czech. Math. J. 56, No. 3, 875--883 (2006; Zbl 1164.15318) Full Text: DOI EuDML Link
da Fonseca, C. M. On a conjecture regarding characteristic polynomial of a matrix pair. (English) Zbl 1097.15008 Electron. J. Linear Algebra 13, 157-161 (2005). Reviewer: Fuad Kittaneh (Amman) MSC: 15A15 15A18 15A42 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Electron. J. Linear Algebra 13, 157--161 (2005; Zbl 1097.15008) Full Text: DOI EuDML EMIS
da Fonseca, C. M. A note on the multiplicities of the eigenvalues of a graph. (English) Zbl 1078.15009 Linear Multilinear Algebra 53, No. 4, 303-307 (2005). Reviewer: C.M. da Fonseca (Coimbra) MSC: 15A18 15B57 05C50 05C05 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Linear Multilinear Algebra 53, No. 4, 303--307 (2005; Zbl 1078.15009) Full Text: DOI
da Fonseca, C. M. Interlacing properties for Hermitian matrices whose graph is a given tree. (English) Zbl 1095.15009 SIAM J. Matrix Anal. Appl. 27, No. 1, 130-141 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 15A18 15B57 05C50 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, SIAM J. Matrix Anal. Appl. 27, No. 1, 130--141 (2005; Zbl 1095.15009) Full Text: DOI
da Fonseca, C. M. On a conjecture about the \(\mu\)-permanent. (English) Zbl 1078.15007 Linear Multilinear Algebra 53, No. 3, 225-230 (2005). Reviewer: Ian M. Wanless (Darwin) MSC: 15A15 05C50 05C05 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Linear Multilinear Algebra 53, No. 3, 225--230 (2005; Zbl 1078.15007) Full Text: DOI Link
da Fonseca, C. M.; Petronilho, J. Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. (English) Zbl 1076.15011 Numer. Math. 100, No. 3, 457-482 (2005). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A09 42C05 15B57 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{J. Petronilho}, Numer. Math. 100, No. 3, 457--482 (2005; Zbl 1076.15011) Full Text: DOI
da Fonseca, C. M. An interlacing theorem for matrices whose graph is a given tree. (Russian, English) Zbl 1068.05017 Fundam. Prikl. Mat. 10, No. 3, 245-254 (2004); translation in J. Math. Sci., New York 139, No. 4, 6823-6830 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 05C05 15A45 05C50 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Fundam. Prikl. Mat. 10, No. 3, 245--254 (2004; Zbl 1068.05017); translation in J. Math. Sci., New York 139, No. 4, 6823--6830 (2006)
da Fonseca, C. M.; Petronilho, J. A note on the spectra of tridiagonal matrices. (English) Zbl 1073.15008 Int. J. Math. Math. Sci. 2004, No. 29-32, 1575-1579 (2004). Reviewer: Grosio Stanilov (Sofia) MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{J. Petronilho}, Int. J. Math. Math. Sci. 2004, No. 29--32, 1575--1579 (2004; Zbl 1073.15008) Full Text: DOI EuDML
da Fonseca, C. M. A conjecture about the inertia of Hermitian matrices. (English) Zbl 1074.15028 Math. Inequal. Appl. 7, No. 4, 497-503 (2004). Reviewer: Jane M. Day (San José) MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Math. Inequal. Appl. 7, No. 4, 497--503 (2004; Zbl 1074.15028) Full Text: DOI
da Fonseca, C. M. The inertia of Hermitian tridiagonal block matrices. (English) Zbl 1057.15025 JIPAM, J. Inequal. Pure Appl. Math. 5, No. 3, Paper No. 56, 9 p. (2004). Reviewer: Ralf Gramlich (Darmstadt) MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, JIPAM, J. Inequal. Pure Appl. Math. 5, No. 3, Paper No. 56, 9 p. (2004; Zbl 1057.15025) Full Text: EuDML
da Fonseca, C. M.; Petronilho, J. Explicit inverses of some tridiagonal matrices. (English) Zbl 0983.15007 Linear Algebra Appl. 325, No. 1-3, 7-21 (2001). Reviewer: Nikolai I.Osetinski (Moskva) MSC: 15A09 33C45 42C05 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{J. Petronilho}, Linear Algebra Appl. 325, No. 1--3, 7--21 (2001; Zbl 0983.15007) Full Text: DOI
da Fonseca, C. M. The inertia of Hermitian block matrices with zero main diagonal. (English) Zbl 0961.15013 Linear Algebra Appl. 311, No. 1-3, 153-160 (2000). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Linear Algebra Appl. 311, No. 1--3, 153--160 (2000; Zbl 0961.15013) Full Text: DOI