External Scientific Member
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| 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 ...
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, ...
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 ...
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 ...
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 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, ...
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