Carlos M. da Fonseca

collaborators

4 papers

math.CA2024

$a$ -potent Schwarz matrices and Bessel-like Jacobi polynomials

Alexander Dyachenko, Carlos M. da Fonseca, Mikhail Tyaglov

We consider the problem of the reconstruction of a Schwarz matrix from exactly one given eigenvalue. This inverse eigenvalue problem leads to the Jacobi orthogonal polynomials~$\{P…

math.RT2016

Topological classification of systems of bilinear and sesquilinear forms

Carlos M. da Fonseca, Vyacheslav Futorny, Tetiana Rybalkina +1

Let $A$ and $B$ be two systems consisting of the same vector spaces $C^{n_{1}}, \dots, C^{n_{t}}$ and bilinear or sesquilinear forms $A_i,B_i:\mathbb C^{n_{k(i)…

math.CO2016

The $μ$ -permanent, a new graph labeling, and a known integer sequence

Milica Anđelić, Carlos M. da Fonseca, António Pereira

Let $A = (a_{ij})$ be an $n$ -by- $n$ matrix. For any real number $μ$ , we define the polynomial $P_{μ} (A) = σ \in S_{n} \sum a_{1 σ (1)} \dots a_{nσ (n)} μ^{ℓ (σ)},$ as the $μ$ -permane…

nlin.PS2010

Stability of Linear Flocks on a Ring Road

J. J. P. Veerman, C. M. da Fonseca

We discuss some stability problems when each agent of a linear flock on the line interacts with its two nearest neighbors (one on either side).

a-potent Schwarz matrices and Bessel-like Jacobi polynomials

Topological classification of systems of bilinear and sesquilinear forms

The μ-permanent, a new graph labeling, and a known integer sequence

Stability of Linear Flocks on a Ring Road

$a$ -potent Schwarz matrices and Bessel-like Jacobi polynomials

The $μ$ -permanent, a new graph labeling, and a known integer sequence