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da Fonseca, Carlos Martins

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Author ID: da-fonseca.carlos-martins Recent zbMATH articles by "da Fonseca, Carlos Martins"
Published as: da Fonseca, Carlos M.; da Fonseca, C. M.; Da Fonseca, C. M.; Da Fonseca, Carlos M.; da Fonseca, Carlos Martins; Fonseca, C. M.da
Homepage: http://www.mat.uc.pt/~cmf/
External Links: MGP · Wikidata · dblp
Documents Indexed: 127 Publications since 1994, including 1 Book
3 Contributions as Editor
Reviewing Activity: 248 Reviews
Co-Authors: 70 Co-Authors with 93 Joint Publications
1,343 Co-Co-Authors
all top 5

Co-Authors

36 single-authored
21 Andelić, Milica
21 Du, Zhibin
9 Simić, Slobodan K.
5 Erić, Aleksandra Lj.
5 Kowalenko, Victor
5 Mamede, Ricardo
4 Kilic, Emrah
4 Losonczi, László
4 Pereira, António
4 Petronilho, José C.
4 Saenpholphat, Varaporn
4 Tošić, Dejan V.
3 Costa, Liliana
3 Dimitrov, Darko
3 Rybalkina, Tetiana
3 Sergeichuk, Vladimir Vasil’evich
3 Yilmaz, Fatih
3 Zhang, Ping
3 Zivkovic, Dejan
2 Alzer, Horst
2 Andrade Martins, Enide
2 Bebiano, Natália Isabel Quadros
2 Conflitti, Alessandro
2 Glasser, M. Lawrence
2 Hacıoğlu, İlhan
2 Mazilu, Dan A.
2 Mazilu, Irina
2 Stevanović, Dragan
1 Akbulak, Mehmet
1 Alazemi, Abdullah
1 Amanbek, Yerlan
1 Andrade, Enide
1 Arworn, Srichan
1 Ashraf, Firouzeh
1 Baksalary, Oskar Maria
1 Bozkurt, Durmuş
1 Cardoso, Domingos Moreira
1 da Providência Santarém e Costa, João
1 Dahl, Geir
1 Dmytryshyn, Andrii R.
1 Erlangga, Yogi A.
1 Estévez Schwarz, Diana
1 Fernandes, Rosário
1 Friedland, Shmuel
1 Futorny, Vyacheslav M.
1 Ghebleh, Mohammad
1 Huynh, Dinh Van
1 Kanso, Ali
1 Khemmani, Varanoot
1 Kirkland, Stephen J.
1 Koledin, Tamara
1 Kouachi, Said
1 Kovačec, Alexander
1 Kurkcu, Burak
1 Kurmanbek, Bakytzhan
1 Kwancharone, Sorakrit
1 Marques de Sá, Eduardo
1 Martins, Enide A.
1 Perdigão Dias da Silva, José António
1 Psarrakos, Panayiotis J.
1 Sciriha, Irene
1 Sendil, Nuri
1 Shivakumar, Pappur N.
1 Sivakumar, Koratti Chengalrayan
1 Stanić, Zoran
1 Veerman, J. J. P.
1 Vu Kim Tuan
1 Williams, H. Thomas
1 Xu, Yingqiu
1 Ye, Jiahao
all top 5

Serials

22 Linear Algebra and its Applications
15 Linear and Multilinear Algebra
6 Applied Mathematics and Computation
6 ELA. The Electronic Journal of Linear Algebra
5 Czechoslovak Mathematical Journal
4 Discrete Applied Mathematics
4 Discrete Mathematics
3 Utilitas Mathematica
3 Applied Mathematics Letters
3 Filomat
3 Ars Mathematica Contemporanea
3 Open Mathematics
2 Journal of Computational and Applied Mathematics
2 Boletim da Sociedade Portuguesa de Matemática
2 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
2 Journal of Mathematical Sciences (New York)
2 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
2 Journal of Discrete Mathematical Sciences & Cryptography
2 MATCH - Communications in Mathematical and in Computer Chemistry
2 Applicable Analysis and Discrete Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Kuwait Journal of Science
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Ars Combinatoria
1 International Journal of Mathematics and Mathematical Sciences
1 Le Matematiche
1 Numerische Mathematik
1 Portugaliae Mathematica
1 Publicationes Mathematicae Debrecen
1 Studia Scientiarum Mathematicarum Hungarica
1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica
1 Acta Mathematica Hungarica
1 Order
1 Graphs and Combinatorics
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Algebraic Combinatorics
1 Numerical Linear Algebra with Applications
1 Discussiones Mathematicae. Graph Theory
1 Journal of Difference Equations and Applications
1 Fundamental’naya i Prikladnaya Matematika
1 The Ramanujan Journal
1 Positivity
1 Mathematical Inequalities & Applications
1 East-West Journal of Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics
1 Journal of Applied Mathematics
1 International Journal of Pure and Applied Mathematics
1 Mathematica Macedonica
1 Mediterranean Journal of Mathematics
1 Contemporary Mathematics
1 Applied Mathematical Sciences (Ruse)
1 Acta Universitatis Sapientiae. Mathematica
1 Mathematical Sciences & Applications E-Notes

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 546 times in 330 Documents Cited by Year
Explicit inverses of some tridiagonal matrices. Zbl 0983.15007
da Fonseca, C. M.; Petronilho, J.
49
2001
Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. Zbl 1076.15011
da Fonseca, C. M.; Petronilho, J.
37
2005
On the eigenvalues of some tridiagonal matrices. Zbl 1119.15012
da Fonseca, C. M.
35
2007
Further properties of the second Zagreb index. Zbl 1464.05063
da Fonseca, Carlos M.; Stevanović, Dragan
21
2014
Young-type inequalities and their matrix analogues. Zbl 1316.15023
Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander
14
2015
Counterexamples to a conjecture on Wiener index of common neighborhood graphs. Zbl 1464.05062
da Fonseca, Carlos M.; Ghebleh, Mohammad; Kanso, Ali; Stevanović, Dragan
13
2014
On the number of P-vertices of some graphs. Zbl 1225.05078
Andelić, Milica; da Fonseca, C. M.; Mamede, Ricardo
13
2011
The diameter of the acyclic Birkhoff polytope. Zbl 1213.05163
Costa, Liliana; Da Fonseca, C. M.; Martins, Enide Andrade
13
2008
On a family of trees with minimal atom-bond connectivity index. Zbl 1330.05044
Du, Zhibin; da Fonseca, Carlos M.
12
2016
On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three. Zbl 1410.05022
Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M.
12
2016
The inertia of certain Hermitian block matrices. Zbl 0929.15019
da Fonseca, C. M.
11
1998
On the location of the eigenvalues of Jacobi matrices. Zbl 1176.15027
da Fonseca, C. M.
11
2006
The maximal length of a chain in the Bruhat order for a class of binary matrices. Zbl 1236.05046
Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo
11
2012
The characteristic polynomial of some perturbed tridiagonal \(k\)-Toeplitz matrices. Zbl 1148.15005
da Fonseca, C. M.
11
2007
Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion. Zbl 1410.15053
da Fonseca, Carlos M.; Yılmaz, Fatih
11
2015
Basic trigonometric power sums with applications. Zbl 1357.33003
da Fonseca, Carlos M.; Glasser, M. Lawrence; Kowalenko, Victor
10
2017
Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope. Zbl 1133.05005
da Fonseca, C. M.; Marques de Sá, E.
10
2008
The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles. Zbl 1180.15020
Fernandes, Rosário; da Fonseca, C. M.
9
2009
Nonsingular acyclic matrices with full number of \(P\)-vertices. Zbl 1276.15006
Anđelić, Milica; Erić, Aleksandra; Da Fonseca, C. M.
9
2013
The maximum number of P-vertices of some nonsingular double star matrices. Zbl 1281.05091
Erić, Aleksandra; da Fonseca, C. M.
8
2013
Nonsingular acyclic matrices with an extremal number of P-vertices. Zbl 1282.15028
Du, Zhibin; da Fonseca, C. M.
8
2014
An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Zbl 1259.15011
Bebiano, Natália; da Fonseca, C. M.; da Providência, João
8
2011
The singular acyclic matrices with maximal number of P-vertices. Zbl 1258.05024
Du, Zhibin; da Fonseca, C. M.
8
2013
Eigenpairs of a family of tridiagonal matrices: three decades later. Zbl 1449.15012
Da Fonseca, C. M.; Kowalenko, V.
8
2020
Some new considerations about double nested graphs. Zbl 1319.05084
Anđelić, M.; Andrade, E.; Cardoso, D. M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V.
7
2015
On bounds for the index of double nested graphs. Zbl 1222.05145
Andelić, M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V.
7
2011
On the largest size of an antichain in the Bruhat order for \(\mathcal A (2k,k)\). Zbl 1260.05024
Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo
7
2013
On the multiplicities of eigenvalues of graphs and their vertex deleted subgraphs: old and new results. Zbl 1323.05083
Simić, Slobodan K.; Andelić, Milica; Da Fonseca, Carlos M.; Živković, Dejan
6
2015
The acyclic matrices with a P-set of maximum size. Zbl 1307.15012
Du, Zhibin; da Fonseca, Carlos M.
6
2015
On a finite sum with powers of cosines. Zbl 1382.11026
da Fonseca, C. M.; Kowalenko, Victor
6
2013
The inertia of Hermitian block matrices with zero main diagonal. Zbl 0961.15013
da Fonseca, C. M.
6
2000
A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices. Zbl 1390.15098
da Fonseca, Carlos M.; Kouachi, Saïd; Mazilu, Dan A.; Mazilu, Irina
6
2015
On (0, 1)-matrices with prescribed row and column sum vectors. Zbl 1197.05160
da Fonseca, C. M.; Mamede, Ricardo
5
2009
Some forbidden combinations of branches in minimal-ABC trees. Zbl 1377.05030
Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M.
5
2018
The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation. Zbl 1311.15016
da Fonseca, C. M.; Mazilu, Dan A.; Mazilu, Irina; Williams, H. Thomas
5
2013
The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices. Zbl 1334.15071
Akbulak, Mehmet; da Fonseca, C. M.; Yılmaz, Fatih
5
2013
An identity between the determinant and the permanent of Hessenberg-type matrices. Zbl 1249.15011
da Fonseca, Carlos Martins
5
2011
On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree. Zbl 1144.15003
Da Fonseca, C. M.
5
2008
A lower bound for the number of distinct eigenvalues of some real symmetric matrices. Zbl 1205.05138
Da Fonseca, C. M.
4
2010
Interlacing properties for Hermitian matrices whose graph is a given tree. Zbl 1095.15009
da Fonseca, C. M.
4
2005
Path polynomials of a circuit: A constructive approach. Zbl 0926.05025
da Fonseca, C. M.; Petronilho, J.
4
1998
Connected graphs of fixed order and size with maximal \(Q\)-index: some spectral bounds. Zbl 1239.05115
Anđelić, Milica; da Fonseca, Carlos M.; Simić, Slobodan K.; Tošić, Dejan V.
4
2012
The number of faces of the tridiagonal Birkhoff polytope. Zbl 1185.52007
Costa, L.; Da Fonseca, C. M.; Martins, E. A.
4
2009
On the inertia sets of some symmetric sign patterns. Zbl 1164.15318
da Fonseca, C. M.
4
2006
Face counting on an acyclic Birkhoff polytope. Zbl 1169.05301
Costa, Liliana; da Fonseca, C. M.; Martins, Enide Andrade
4
2009
A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 1472.39004
Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah
4
2020
The singular acyclic matrices of even order with a P-set of maximum size. Zbl 1461.15025
Du, Zhibin; da Fonseca, Carlos M.
3
2016
Some determinantal considerations for pentadiagonal matrices. Zbl 1481.15002
Anđelić, Milica; da Fonseca, Carlos M.
3
2021
A new type of Sylvester-Kac matrix and its spectrum. Zbl 1462.15038
da Fonseca, Carlos M.; Kılıç, Emrah
3
2021
An observation on the determinant of a Sylvester-Kac type matrix. Zbl 07376150
da Fonseca, Carlos M.; Kılıç, Emrah
3
2020
Unordered multiplicity lists of wide double paths. Zbl 1290.05101
Erić, Aleksandra; da Fonseca, C. M.
3
2013
On a conjecture about the \(\mu\)-permanent. Zbl 1078.15007
da Fonseca, C. M.
3
2005
Sufficient conditions for positive definiteness of tridiagonal matrices revisited. Zbl 1216.15022
Anđelić, Milica; da Fonseca, C. M.
3
2011
The real symmetric matrices of odd order with a P-set of maximum size. Zbl 1413.15015
Du, Zhibin; da Fonseca, Carlos M.
3
2016
Unifying some Pell and Fibonacci identities. Zbl 1334.11009
da Fonseca, Carlos M.
3
2014
The singular acyclic matrices with the second largest number of P-vertices. Zbl 1334.15026
Du, Zhibin; da Fonseca, Carlos M.
3
2015
A note on the multiplicities of the eigenvalues of a graph. Zbl 1078.15009
da Fonseca, C. M.
3
2005
On the spectra of certain directed paths. Zbl 1173.90360
da Fonseca, C. M.; Veerman, J. J. P.
3
2009
On the continuity of the maximum size of P-sets of acyclic matrices. Zbl 1418.05052
Du, Zhibin; da Fonseca, Carlos M.
3
2019
Sharp spectral inequalities for connected bipartite graphs with maximal \(Q\)-index. Zbl 1301.05210
Andelić, Milica; Fonseca, C. M.da; Koledin, Tamara; Stanić, Zoran
3
2013
Tridiagonal matrices and spectral properties of some graph classes. Zbl 07285984
Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Simić, Slobodan K.
3
2020
A short note on the determinant of a Sylvester-Kac type matrix. Zbl 07336603
da Fonseca, Carlos M.
2
2020
On \(\gamma\)-labelings of graphs. Zbl 1345.05086
Da Fonseca, Carlos M.; Khemmani, Varanoot; Zhang, Ping
2
2015
Reflexive line graphs of trees. Zbl 1409.05173
Simić, Slobodan K.; Živković, Dejan; Anđelić, Milica; da Fonseca, Carlos M.
2
2016
Extremal values fo a \(\gamma\)-labeling of a cycle with a triangle. Zbl 1293.05349
da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping
2
2013
Notes on the second largest eigenvalue of a graph. Zbl 1302.05112
Simić, Slobodan K.; Anđelić, Milica; da Fonseca, Carlos M.; Živković, Dejan
2
2015
The \(\gamma \)-spectrum of a graph. Zbl 1265.05559
da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping
2
2011
Some comments on tridiagonal \((p,r)\)-Toeplitz matrices. Zbl 1414.15036
Anđelić, Milica; da Fonseca, Carlos M.
2
2019
A short proof for a determinantal formula for generalized Fibonacci numbers. Zbl 1477.11032
da Fonseca, Carlos M.; Anđelić, Milica
2
2019
The eigenvalues of some anti-tridiagonal Hankel matrices. Zbl 1474.15066
da Fonseca, Carlos M.
2
2018
Ninety years of \(k\)-tridiagonal matrices. Zbl 1474.15067
da Fonseca, Carlos M.; Kowalenko, Victor; Losonczi, László
2
2020
Explicit determinantal formula for a class of banded matrices. Zbl 1478.15010
Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António
1
2020
On singular values related to DAEs in Kronecker canonical form. Zbl 1410.34038
Estévez Schwarz, Diana; da Fonseca, Carlos M.
1
2016
The determinants of circulant and skew-circulant matrices with Tribonacci numbers. Zbl 1384.11053
Bozkurt, Durmus; da Fonseca, Carlos M.; Yilmaz, Fatih
1
2014
Topological classification of sesquilinear forms: reduction to the nonsingular case. Zbl 1381.15013
da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V.
1
2016
Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace. Zbl 1348.15008
Dmytryshyn, Andrii; da Fonseca, Carlos M.; Rybalkina, Tetiana
1
2016
Some consequences of an inequality on the spectral multiplicity of graphs. Zbl 1392.05074
Erić, Aleksandra; da Fonseca, C. M.
1
2013
An interlacing theorem for matrices whose graph is a given tree. Zbl 1068.05017
da Fonseca, C. M.
1
2004
On a conjecture regarding characteristic polynomial of a matrix pair. Zbl 1097.15008
da Fonseca, C. M.
1
2005
A note on the spectra of tridiagonal matrices. Zbl 1073.15008
da Fonseca, C. M.; Petronilho, J.
1
2004
The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences. Zbl 1183.15007
da Fonseca, C. M.
1
2010
The number of P-vertices for acyclic matrices of maximum nullity. Zbl 1421.05056
Du, Zhibin; da Fonseca, Carlos M.
1
2019
The \(\mu\)-permanent revisited. Zbl 1420.15006
da Fonseca, Carlos M.
1
2019
Lipschitz property for systems of linear mappings and bilinear forms. Zbl 1414.15013
Alazemi, Abdullah; Anđelić, Milica; da Fonseca, Carlos M.; Sergeichuk, Vladimir V.
1
2019
The interesting spectral interlacing property for a certain tridiagonal matrix. Zbl 1450.15009
da Fonseca, Carlos M.; Kılıç, Emrah; Pereira, António
1
2020
On some pentadiagonal matrices: their determinants and inverses. Zbl 1474.15068
da Fonseca, Carlos M.; Losonczi, László
1
2020
On the determinant of general pentadiagonal matrices. Zbl 1474.15069
Da Fonseca, Carlos M.; Losonczi, László
1
2020
Some determinantal considerations for pentadiagonal matrices. Zbl 1481.15002
Anđelić, Milica; da Fonseca, Carlos M.
3
2021
A new type of Sylvester-Kac matrix and its spectrum. Zbl 1462.15038
da Fonseca, Carlos M.; Kılıç, Emrah
3
2021
Eigenpairs of a family of tridiagonal matrices: three decades later. Zbl 1449.15012
Da Fonseca, C. M.; Kowalenko, V.
8
2020
A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 1472.39004
Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah
4
2020
An observation on the determinant of a Sylvester-Kac type matrix. Zbl 07376150
da Fonseca, Carlos M.; Kılıç, Emrah
3
2020
Tridiagonal matrices and spectral properties of some graph classes. Zbl 07285984
Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Simić, Slobodan K.
3
2020
A short note on the determinant of a Sylvester-Kac type matrix. Zbl 07336603
da Fonseca, Carlos M.
2
2020
Ninety years of \(k\)-tridiagonal matrices. Zbl 1474.15067
da Fonseca, Carlos M.; Kowalenko, Victor; Losonczi, László
2
2020
Explicit determinantal formula for a class of banded matrices. Zbl 1478.15010
Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António
1
2020
The interesting spectral interlacing property for a certain tridiagonal matrix. Zbl 1450.15009
da Fonseca, Carlos M.; Kılıç, Emrah; Pereira, António
1
2020
On some pentadiagonal matrices: their determinants and inverses. Zbl 1474.15068
da Fonseca, Carlos M.; Losonczi, László
1
2020
On the determinant of general pentadiagonal matrices. Zbl 1474.15069
Da Fonseca, Carlos M.; Losonczi, László
1
2020
On the continuity of the maximum size of P-sets of acyclic matrices. Zbl 1418.05052
Du, Zhibin; da Fonseca, Carlos M.
3
2019
Some comments on tridiagonal \((p,r)\)-Toeplitz matrices. Zbl 1414.15036
Anđelić, Milica; da Fonseca, Carlos M.
2
2019
A short proof for a determinantal formula for generalized Fibonacci numbers. Zbl 1477.11032
da Fonseca, Carlos M.; Anđelić, Milica
2
2019
The number of P-vertices for acyclic matrices of maximum nullity. Zbl 1421.05056
Du, Zhibin; da Fonseca, Carlos M.
1
2019
The \(\mu\)-permanent revisited. Zbl 1420.15006
da Fonseca, Carlos M.
1
2019
Lipschitz property for systems of linear mappings and bilinear forms. Zbl 1414.15013
Alazemi, Abdullah; Anđelić, Milica; da Fonseca, Carlos M.; Sergeichuk, Vladimir V.
1
2019
Some forbidden combinations of branches in minimal-ABC trees. Zbl 1377.05030
Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M.
5
2018
The eigenvalues of some anti-tridiagonal Hankel matrices. Zbl 1474.15066
da Fonseca, Carlos M.
2
2018
Basic trigonometric power sums with applications. Zbl 1357.33003
da Fonseca, Carlos M.; Glasser, M. Lawrence; Kowalenko, Victor
10
2017
On a family of trees with minimal atom-bond connectivity index. Zbl 1330.05044
Du, Zhibin; da Fonseca, Carlos M.
12
2016
On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three. Zbl 1410.05022
Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M.
12
2016
The singular acyclic matrices of even order with a P-set of maximum size. Zbl 1461.15025
Du, Zhibin; da Fonseca, Carlos M.
3
2016
The real symmetric matrices of odd order with a P-set of maximum size. Zbl 1413.15015
Du, Zhibin; da Fonseca, Carlos M.
3
2016
Reflexive line graphs of trees. Zbl 1409.05173
Simić, Slobodan K.; Živković, Dejan; Anđelić, Milica; da Fonseca, Carlos M.
2
2016
On singular values related to DAEs in Kronecker canonical form. Zbl 1410.34038
Estévez Schwarz, Diana; da Fonseca, Carlos M.
1
2016
Topological classification of sesquilinear forms: reduction to the nonsingular case. Zbl 1381.15013
da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V.
1
2016
Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace. Zbl 1348.15008
Dmytryshyn, Andrii; da Fonseca, Carlos M.; Rybalkina, Tetiana
1
2016
Young-type inequalities and their matrix analogues. Zbl 1316.15023
Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander
14
2015
Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion. Zbl 1410.15053
da Fonseca, Carlos M.; Yılmaz, Fatih
11
2015
Some new considerations about double nested graphs. Zbl 1319.05084
Anđelić, M.; Andrade, E.; Cardoso, D. M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V.
7
2015
On the multiplicities of eigenvalues of graphs and their vertex deleted subgraphs: old and new results. Zbl 1323.05083
Simić, Slobodan K.; Andelić, Milica; Da Fonseca, Carlos M.; Živković, Dejan
6
2015
The acyclic matrices with a P-set of maximum size. Zbl 1307.15012
Du, Zhibin; da Fonseca, Carlos M.
6
2015
A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices. Zbl 1390.15098
da Fonseca, Carlos M.; Kouachi, Saïd; Mazilu, Dan A.; Mazilu, Irina
6
2015
The singular acyclic matrices with the second largest number of P-vertices. Zbl 1334.15026
Du, Zhibin; da Fonseca, Carlos M.
3
2015
On \(\gamma\)-labelings of graphs. Zbl 1345.05086
Da Fonseca, Carlos M.; Khemmani, Varanoot; Zhang, Ping
2
2015
Notes on the second largest eigenvalue of a graph. Zbl 1302.05112
Simić, Slobodan K.; Anđelić, Milica; da Fonseca, Carlos M.; Živković, Dejan
2
2015
Further properties of the second Zagreb index. Zbl 1464.05063
da Fonseca, Carlos M.; Stevanović, Dragan
21
2014
Counterexamples to a conjecture on Wiener index of common neighborhood graphs. Zbl 1464.05062
da Fonseca, Carlos M.; Ghebleh, Mohammad; Kanso, Ali; Stevanović, Dragan
13
2014
Nonsingular acyclic matrices with an extremal number of P-vertices. Zbl 1282.15028
Du, Zhibin; da Fonseca, C. M.
8
2014
Unifying some Pell and Fibonacci identities. Zbl 1334.11009
da Fonseca, Carlos M.
3
2014
The determinants of circulant and skew-circulant matrices with Tribonacci numbers. Zbl 1384.11053
Bozkurt, Durmus; da Fonseca, Carlos M.; Yilmaz, Fatih
1
2014
Nonsingular acyclic matrices with full number of \(P\)-vertices. Zbl 1276.15006
Anđelić, Milica; Erić, Aleksandra; Da Fonseca, C. M.
9
2013
The maximum number of P-vertices of some nonsingular double star matrices. Zbl 1281.05091
Erić, Aleksandra; da Fonseca, C. M.
8
2013
The singular acyclic matrices with maximal number of P-vertices. Zbl 1258.05024
Du, Zhibin; da Fonseca, C. M.
8
2013
On the largest size of an antichain in the Bruhat order for \(\mathcal A (2k,k)\). Zbl 1260.05024
Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo
7
2013
On a finite sum with powers of cosines. Zbl 1382.11026
da Fonseca, C. M.; Kowalenko, Victor
6
2013
The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation. Zbl 1311.15016
da Fonseca, C. M.; Mazilu, Dan A.; Mazilu, Irina; Williams, H. Thomas
5
2013
The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices. Zbl 1334.15071
Akbulak, Mehmet; da Fonseca, C. M.; Yılmaz, Fatih
5
2013
Unordered multiplicity lists of wide double paths. Zbl 1290.05101
Erić, Aleksandra; da Fonseca, C. M.
3
2013
Sharp spectral inequalities for connected bipartite graphs with maximal \(Q\)-index. Zbl 1301.05210
Andelić, Milica; Fonseca, C. M.da; Koledin, Tamara; Stanić, Zoran
3
2013
Extremal values fo a \(\gamma\)-labeling of a cycle with a triangle. Zbl 1293.05349
da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping
2
2013
Some consequences of an inequality on the spectral multiplicity of graphs. Zbl 1392.05074
Erić, Aleksandra; da Fonseca, C. M.
1
2013
The maximal length of a chain in the Bruhat order for a class of binary matrices. Zbl 1236.05046
Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo
11
2012
Connected graphs of fixed order and size with maximal \(Q\)-index: some spectral bounds. Zbl 1239.05115
Anđelić, Milica; da Fonseca, Carlos M.; Simić, Slobodan K.; Tošić, Dejan V.
4
2012
On the number of P-vertices of some graphs. Zbl 1225.05078
Andelić, Milica; da Fonseca, C. M.; Mamede, Ricardo
13
2011
An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Zbl 1259.15011
Bebiano, Natália; da Fonseca, C. M.; da Providência, João
8
2011
On bounds for the index of double nested graphs. Zbl 1222.05145
Andelić, M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V.
7
2011
An identity between the determinant and the permanent of Hessenberg-type matrices. Zbl 1249.15011
da Fonseca, Carlos Martins
5
2011
Sufficient conditions for positive definiteness of tridiagonal matrices revisited. Zbl 1216.15022
Anđelić, Milica; da Fonseca, C. M.
3
2011
The \(\gamma \)-spectrum of a graph. Zbl 1265.05559
da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping
2
2011
A lower bound for the number of distinct eigenvalues of some real symmetric matrices. Zbl 1205.05138
Da Fonseca, C. M.
4
2010
The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences. Zbl 1183.15007
da Fonseca, C. M.
1
2010
The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles. Zbl 1180.15020
Fernandes, Rosário; da Fonseca, C. M.
9
2009
On (0, 1)-matrices with prescribed row and column sum vectors. Zbl 1197.05160
da Fonseca, C. M.; Mamede, Ricardo
5
2009
The number of faces of the tridiagonal Birkhoff polytope. Zbl 1185.52007
Costa, L.; Da Fonseca, C. M.; Martins, E. A.
4
2009
Face counting on an acyclic Birkhoff polytope. Zbl 1169.05301
Costa, Liliana; da Fonseca, C. M.; Martins, Enide Andrade
4
2009
On the spectra of certain directed paths. Zbl 1173.90360
da Fonseca, C. M.; Veerman, J. J. P.
3
2009
The diameter of the acyclic Birkhoff polytope. Zbl 1213.05163
Costa, Liliana; Da Fonseca, C. M.; Martins, Enide Andrade
13
2008
Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope. Zbl 1133.05005
da Fonseca, C. M.; Marques de Sá, E.
10
2008
On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree. Zbl 1144.15003
Da Fonseca, C. M.
5
2008
On the eigenvalues of some tridiagonal matrices. Zbl 1119.15012
da Fonseca, C. M.
35
2007
The characteristic polynomial of some perturbed tridiagonal \(k\)-Toeplitz matrices. Zbl 1148.15005
da Fonseca, C. M.
11
2007
On the location of the eigenvalues of Jacobi matrices. Zbl 1176.15027
da Fonseca, C. M.
11
2006
On the inertia sets of some symmetric sign patterns. Zbl 1164.15318
da Fonseca, C. M.
4
2006
Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. Zbl 1076.15011
da Fonseca, C. M.; Petronilho, J.
37
2005
Interlacing properties for Hermitian matrices whose graph is a given tree. Zbl 1095.15009
da Fonseca, C. M.
4
2005
On a conjecture about the \(\mu\)-permanent. Zbl 1078.15007
da Fonseca, C. M.
3
2005
A note on the multiplicities of the eigenvalues of a graph. Zbl 1078.15009
da Fonseca, C. M.
3
2005
On a conjecture regarding characteristic polynomial of a matrix pair. Zbl 1097.15008
da Fonseca, C. M.
1
2005
An interlacing theorem for matrices whose graph is a given tree. Zbl 1068.05017
da Fonseca, C. M.
1
2004
A note on the spectra of tridiagonal matrices. Zbl 1073.15008
da Fonseca, C. M.; Petronilho, J.
1
2004
Explicit inverses of some tridiagonal matrices. Zbl 0983.15007
da Fonseca, C. M.; Petronilho, J.
49
2001
The inertia of Hermitian block matrices with zero main diagonal. Zbl 0961.15013
da Fonseca, C. M.
6
2000
The inertia of certain Hermitian block matrices. Zbl 0929.15019
da Fonseca, C. M.
11
1998
Path polynomials of a circuit: A constructive approach. Zbl 0926.05025
da Fonseca, C. M.; Petronilho, J.
4
1998
all top 5

Cited by 461 Authors

56 da Fonseca, Carlos Martins
17 Du, Zhibin
16 Andelić, Milica
10 Bebiano, Natália Isabel Quadros
10 Dimitrov, Darko
10 Jiang, Zhaolin
9 Fernandes, Rosário
8 da Cruz, Henrique F.
8 Simić, Slobodan K.
8 Tian, Yongge
7 Costa, Liliana
7 Petronilho, José C.
6 Kilic, Emrah
5 Alazemi, Abdullah
5 Chen, Guoliang
5 Furtado, Susana
5 Gutman, Ivan M.
5 Jiang, Xiaoyu
5 Xu, Weiru
4 Das, Kinkar Chandra
4 de Abreu, Nair Maria Maia
4 Mamede, Ricardo
4 Sciriha, Irene
4 Škrekovski, Riste
3 Andrade Martins, Enide
3 Ayyaswamy, Singaraj Kulandaiswamy
3 Dahl, Geir
3 Dehmer, Matthias
3 Deng, Hanyuan
3 Dragomir, Sever Silvestru
3 Ghebleh, Mohammad
3 Jiang, Bo
3 Kowalenko, Victor
3 Li, Shuchao
3 Losonczi, László
3 Martins, Enide A.
3 Oblak, Polona
3 Sababheh, Mohamad Suboh
3 Salomão, Domingos
3 Sarala, D.
3 Shi, Yongtang
3 Shon, Sugoog
3 Šmigoc, Helena
3 Sogabe, Tomohiro
3 Veerman, J. J. P.
3 Wei, Yunlan
3 Zheng, Yanpeng
2 Akbulak, Mehmet
2 Akkouchi, Mohamed
2 Ali, Didar A.
2 Álvarez-Nodarse, Renato
2 Amanbek, Yerlan
2 Balachandran, Selvaraj
2 Brualdi, Richard Anthony
2 Cao, Shujuan
2 Carmona, Ángeles
2 Chen, Xiaodan
2 Conflitti, Alessandro
2 da Providência Santarém e Costa, João
2 de Jesus, M. N.
2 Elouafi, Mohamed
2 Encinas, Andrés M.
2 Erić, Aleksandra Lj.
2 Erlangga, Yogi A.
2 Estévez Schwarz, Diana
2 Fu, Yaru
2 Furtula, Boris
2 Futorny, Vyacheslav M.
2 Gauci, John Baptist
2 Glasser, M. Lawrence
2 Gutiérrez-Gutiérrez, Jesús
2 Hammond, David K.
2 Huang, Ting-Zhu
2 Ighachane, Mohamed Amine
2 Ikica, Barbara
2 Jhang, Seongtae
2 Ji, Shengjin
2 Jia, Jiteng
2 Khemmani, Varanoot
2 Kurmanbek, Bakytzhan
2 Matsubayashi, Nobuo
2 Mitjana, Margarida
2 Mohammadian, Ali
2 Quintero, Niurka R.
2 Radons, Manuel
2 Ran, Ruisheng
2 Ren, Yonghui
2 Saduakdee, Supaporn
2 Sergeichuk, Vladimir Vasil’evich
2 Serôdio, Rogério
2 Sharaf, Khidir R.
2 Su, Guifu
2 Tian, Qing
2 Tošić, Dejan V.
2 Tu, Jianhua
2 Yilmaz, Fatih
2 Zhang, Huihui
2 Zhang, Zhizheng
1 Abad, Manuel F.
1 Abderramán Marrero, J.
...and 361 more Authors
all top 5

Cited in 111 Serials

54 Applied Mathematics and Computation
50 Linear Algebra and its Applications
17 Linear and Multilinear Algebra
15 Discrete Applied Mathematics
13 Special Matrices
9 Discrete Mathematics
9 Journal of Computational and Applied Mathematics
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Applied Mathematics Letters
4 Czechoslovak Mathematical Journal
4 ELA. The Electronic Journal of Linear Algebra
4 Ars Mathematica Contemporanea
4 Open Mathematics
3 Journal of Mathematical Analysis and Applications
3 Journal of Mathematical Sciences (New York)
3 Computational and Applied Mathematics
3 Filomat
3 Discussiones Mathematicae. Graph Theory
3 Journal of Difference Equations and Applications
3 Journal of Discrete Mathematical Sciences & Cryptography
2 Computers & Mathematics with Applications
2 Journal of Mathematical Physics
2 Journal of Combinatorial Theory. Series A
2 Proceedings of the American Mathematical Society
2 Order
2 SIAM Journal on Matrix Analysis and Applications
2 Economics Letters
2 Numerical Algorithms
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Mediterranean Journal of Mathematics
2 Advances in Difference Equations
2 AKCE International Journal of Graphs and Combinatorics
2 Journal of Statistical Mechanics: Theory and Experiment
2 Optimization Letters
2 Operators and Matrices
2 Acta Universitatis Sapientiae. Mathematica
2 Annals of Functional Analysis
2 Journal of Applied Analysis and Computation
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Journal of the Mechanics and Physics of Solids
1 Lithuanian Mathematical Journal
1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 BIT
1 Duke Mathematical Journal
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series B
1 Journal of Number Theory
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Mathematica Slovaca
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Results in Mathematics
1 Theoretical Population Biology
1 European Journal of Combinatorics
1 Mathematical Social Sciences
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Graphs and Combinatorics
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 SIAM Journal on Discrete Mathematics
1 Journal of Scientific Computing
1 Journal of the Ramanujan Mathematical Society
1 Random Structures & Algorithms
1 Computational Statistics
1 Glasnik Matematički. Serija III
1 Stochastic Processes and their Applications
1 The Australasian Journal of Combinatorics
1 Continuum Mechanics and Thermodynamics
1 Algebra Colloquium
1 Turkish Journal of Mathematics
1 Top
1 Bulletin des Sciences Mathématiques
1 Journal of Mathematical Chemistry
1 The Ramanujan Journal
1 Nonlinear Dynamics
1 Journal of Inequalities and Applications
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Acta Mathematica Sinica. English Series
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Kragujevac Journal of Mathematics
1 Portugaliae Mathematica. Nova Série
1 JP Journal of Algebra, Number Theory and Applications
1 Journal of Applied Mathematics and Computing
1 Hacettepe Journal of Mathematics and Statistics
1 Thai Journal of Mathematics
1 Inverse Problems in Science and Engineering
1 Chebyshevskiĭ Sbornik
1 Computational & Mathematical Methods in Medicine
1 Applicable Analysis and Discrete Mathematics
1 Asian-European Journal of Mathematics
1 Advances and Applications in Discrete Mathematics
1 Advances in Differential Equations and Control Processes
1 Algorithms
...and 11 more Serials
all top 5

Cited in 37 Fields

178 Linear and multilinear algebra; matrix theory (15-XX)
142 Combinatorics (05-XX)
41 Numerical analysis (65-XX)
38 Number theory (11-XX)
22 Biology and other natural sciences (92-XX)
21 Operator theory (47-XX)
17 Special functions (33-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Difference and functional equations (39-XX)
9 Ordinary differential equations (34-XX)
9 Probability theory and stochastic processes (60-XX)
8 Real functions (26-XX)
8 Convex and discrete geometry (52-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Operations research, mathematical programming (90-XX)
6 Computer science (68-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Partial differential equations (35-XX)
5 Statistics (62-XX)
5 Quantum theory (81-XX)
5 Information and communication theory, circuits (94-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Field theory and polynomials (12-XX)
3 Functions of a complex variable (30-XX)
3 Functional analysis (46-XX)
3 Mechanics of particles and systems (70-XX)
3 Mechanics of deformable solids (74-XX)
2 Approximations and expansions (41-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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