External Scientific Member
 |
 |
 |
 |
 |
|
| My main field of research is combinatorial matrix theory and spectral graph theory, and their abundant multi-disciplinary applications. I am also interested in trigonometric sums and the connections between abstract and linear algebras. | |||||
Carlos Martins da Fonseca (Figueira da Foz, Portugal, 1968) is a full professor at the Kuwait College of Science and Technology. He is Doctor of Science by the Technical University – Sofia, Bulgaria. He is the editor-in-chief of Special Matrices, a journal on structured matrices by De Gruyter.
- -DSc. in Mathematics (2016), Technical University - Sofia, Bulgaria
- -PhD in Mathematics (1996 - 2000), University of Coimbra, Portugal
- -BSc. in Mathematics (1986 - 1991), University of Coimbra, Portugal
Released
A note on the eigenvalues of a Sylvester-Kac matrix with off-diagonal biperiodic perturbations
Z. Du, C.M. da Fonseca (2025) A note on the eigenvalues of a Sylvester-Kac matrix with off-diagonal biperiodic perturbations, Journal ...
The determinant and a factorization of a Toeplitz matrix with some type of Horadam numbers entries,
C.M. da Fonseca, C. Kızılateş, N. Terzio\u{g}lu (2024) The determinant and a factorization of a Toeplitz matrix with some type ...
Revisiting some r-Fibonacci sequences and Hessenberg matrices
C.M. da Fonseca, P. Saraiva, A.G. Shannon (2024) Revisiting some r-Fibonacci sequences and Hessenberg matrices, Notes on Number Theory and ...
A new generalization of min and max matrices and their reciprocals counterparts
C.M. da Fonseca, C. Kızılateş, N. Terzio\u{g}lu (2024) A new generalization of min and max matrices and their reciprocals counterparts, ...
Equitable partitions and spectra of symmetric trees: Revisiting Heilbronner’s composition principle
M. Anđelić, C.M. da Fonseca (2024) Equitable partitions and spectra of symmetric trees: Revisiting Heilbronner's composition principle, Discrete Mathematics Letters, ...
On Chebyshev polynomials and the inertia of certain matrices
K. Castillo, C.M. da Fonseca, J. Petronilho (2024) On Chebyshev polynomials and the inertia of certain matrices, Applied Mathematics and ...
A formal operator involving Fermatian numbers
C.M. da Fonseca, A.G. Shannon (2024) A formal operator involving Fermatian numbers, Notes on Number Theory and Discrete Mathematics, Vol ...
The generating function of a bi-periodic Leonardo sequence
C.M. da Fonseca (2024) The generating function of a bi-periodic Leonardo sequence, Armenian Journal of Mathematics, Vol. 16, pp. 1-8, ...
The determinants of certain double banded (0,1) Toeplitz matrices
Z. Du, C.M. da Fonseca (2023) The determinants of certain double banded (0,1) Toeplitz matrices, Miskolc Mathematical Notes, Vol. 24, ...
On a sequence derived from the Laplace transform of the characteristic polynomial of the Fibonacci sequence
C.M. da Fonseca, A.G. Shannon (2023) On a sequence derived from the Laplace transform of the characteristic polynomial of the ...
The number of P-vertices for acyclic matrices with given nullity
Z. Du, C.M. da Fonseca (2023) The number of P-vertices for acyclic matrices with given nullity, Discrete Mathematics, Vol. 346, ...
The characterization of the minimal weighted acyclic graphs
Z. Du, C.M. da Fonseca (2023) The characterization of the minimal weighted acyclic graphs, Linear Algebra and its Applications, Vol ...
Further developments of basic trigonometric power sums
Z. Du, C.M. da Fonseca, V. Kowalenko (2023) Further developments of basic trigonometric power sums, RACSAM Revista de la Real ...
Chain graph sequences and Laplacian spectra of chain graphs
A. Alazemi, M. Anđelić, K. Chandra, Carlos M. da Fonseca (2023) Chain graph sequences and Laplacian spectra of chain graphs, ...
Root location for the characteristic polynomial of a Fibonacci type sequence
Z. Du, C.M. da Fonseca (2023) Root location for the characteristic polynomial of a Fibonacci type sequence, Czechoslovak Mathematical Journal, ...
A second-order difference equation with sign-alternating coefficients
M. Anđelić, C.M. da Fonseca, T. Koledin, Z. Stanić (2022) A second-order difference equation with sign-alternating coefficients, Kuwait Journal of ...
An extended eigenvalue-free interval for the eccentricity matrix of threshold graphs
M. Anđelić, C.M. da Fonseca, T. Koledin, Z. Stanić (2022) An extended eigenvalue-free interval for the eccentricity matrix of threshold ...
A periodic determinantal property for (0,1) double banded matrices
Z. Du, C.M. da Fonseca (2022) A periodic determinantal property for (0,1) double banded matrices, Linear and Multilinear Algebra, Vol ...
An identity involving derangement numbers and Bell numbers
Z. Du, C.M. da Fonseca (2022) An identity involving derangement numbers and Bell numbers, Applicable Analysis and Discrete Mathematics, Vol ...
On tridiagonal matrices associated with Jordan blocks
C.M. da Fonseca, V. Kowalenko (2022) On tridiagonal matrices associated with Jordan blocks, Acta Universitatis Sapientiae, Mathematica, Vol. 14, pp.61-74, ...
A Sylvester-Kac matrix type and the Laplacian controllability of half graphs
M. Anđelić, C.M. da Fonseca, E. Kılıç, Z. Stanic (2022) New strong divisibility sequences, Electronic Journal of Linear Algebra, Vol ...
New strong divisibility sequences
Z. Du, C.M. da Fonseca, D. Dimitrov (2022) New strong divisibility sequences, Ars Mathematica Contemporanea, Vol. 22, P1.08, 10.26493/1855-3974.2473.f2e Abstract ...
The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
Milica Anđelić, C.M. da Fonseca, Fatih Yılmaz (2022) Determinantal representations for the number of subsequences without isolated odd terms, Heliyon, ...
Determinantal representations for the number of subsequences without isolated odd terms
Milica Anđelić, C.M. da Fonseca (2021) Determinantal representations for the number of subsequences without isolated odd terms, Notes on Number ...
On the constant coefficients of a certain recurrence relation: A simple proof
Milica Anđelić, C.M. da Fonseca (2021) On the constant coefficients of a certain recurrence relation: A simple proof, Heliyon, Vol ...
The spectrum of a new class of Sylvester-Kac matrices
A. Alazemi, C.M. da Fonseca, E. Kılıç (2021) The spectrum of a new class of Sylvester-Kac matrices, Filomat, Vol. 35, ...
Disproving a conjecture of Thornton on Bohemian matrices
Z. Du, C.M. da Fonseca, Y. Xu, J. Ye (2021) Disproving a conjecture of Thornton on Bohemian matrices, Open Mathematics, ...
Three representation types for systems of forms and linear maps
A. Alazemi, M. Anđelić, C.M. da Fonseca, V. Futorny, V.V. Sergeichuk (2021) Three representation types for systems of forms and ...
Submitted
No posts found.
Some previous Publications:
- -A short note on the determinant of a Sylvester-Kac type matrix, International Journal of Nonlinear Sciences and Numerical Simulation 21 (2020), no. 3-4, 361-362
- -Tridiagonal matrices and spectral properties of some graph classes (with M. Andelic, Z. Du, and S.K. Simic, Czechoslovak Mathematical Journal, 70 (2020), no. 4, 1125-1138
- -On the determinant of general pentadiagonal matrices (with L. Losonczi), Publicationes Mathematicae Debrecen, 97 (2020), 507-523
- -On some pentadiagonal matrices: Their determinants and inverse, (with L. Losonczi), Annales Universitatis Scientiarum Budapest. Sectio Computatorica 51 (2020), 39-50.
- -The interesting spectral interlacing property for a certain tridiagonal matrix} (with E. Kilic and A. Pereira), Electronic Journal of Linear Algebra 36 (2020), 587-598
- -On a closed form for derangement numbers: An elementary proof, RACSAM Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (2020), 146
- -Ninety years of k-tridiagonal matrices (with V. Kowalenko and L. Losonczi), Studia Scientiarum Mathematicarum Hungarica 57 (2020), 298–311
- -On nonsingular acyclic M-matrices whose inverse is also acyclic (with Z. Du and L. Losonczi), RACSAM Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114 (2020), 138
- -On the Bruhat rank of a Boolean F-matrix} (with Z. Du), Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 63 (2020), 43-49
- -An observation on the determinant of a Sylvester-Kac type matrix} (with E. Kilic), Analele Universitatii Ovidius Constanta, Seria Matematica 28 (2020), 111-115
- -A matrix approach to some second-order difference equations with sign-alternating coefficients (with M. Andelic, Z. Du, and E. Kilic), Journal of Difference Equations and Applications 26 (2020), 149-162
- -The number of P-vertices of singular acyclic matrices: An inverse problem (with Z. Du), Discussiones Mathematicae Graph Theory 40 (2020), 525-532