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Krein Space Numerical Range of Block Matrices: a Unified Approach to the Hyperb...

Bebiano, Natália; Lemos, Rute; Soares, Maria da Graça Pereira

In this paper, we investigate the Krein space numerical range of $2$-by-$2$ block matrices, with diagonal blocks as scalar multiples of the identity. For these matrices, we specifically investigate the cases when the respective boundary generating curves consist of hyperbolas. This provides a unified approach, deriving established and new results concerning the numerical range hyperbolic shape.

Date: 2026   |   Origin: Repositório da UTAD

On the ellipticity of the higher rank numerical range

Bebiano, Natália; Lemos, Rute; Soares, Graça

Date: 2026   |   Origin: Repositório da UTAD


Development of skills through a math escape room

Miranda, Ana Sofia; Lemos, Rute; Costa, M. Conceição

Today’s students, in addition to acquiring knowledge, must be able to develop other skills, such as critical and creative thinking, problem-solving ability, cooperation, communication in different contexts, autonomy, self-regulation and empathy. In this context, a physical escape room with an original design was created with the objective, not only of developing the aforementioned skills, but also of consolidat...

Date: 2025   |   Origin: Indagatio Didactica

Algebraic curves associated with centrosymmetric matrices of orders up to 6

Bebiano, Natália; Lemos, Rute; Soares, Graça

Date: 2024   |   Origin: Repositório da UTAD

On the numerical range of Kac-Sylvester matrices

Bebiano, Natália; Lemos, Rute; Soares, Graça

In this paper, the boundary generating curves and the numerical range of Kac-Sylvester matrices up to the order 9 are characterized. Based on the obtained results and on several computational experiments performed with the Mathematica and MatLab programs, we conjecture that the found types of algebraic curves, namely ellipses and ovals, will appear for an arbitrary order.


The 16th Workshop on Numerical Ranges and Numerical Radii (WONRA), Portugal, Ju...

Bebiano, Natália; Lemos, Rute; Nata, Ana; Soares, Graça Soares

No abstract available.


On the hyperbolicity of the Krein space numerical range

Bebiano, Natália; Lemos, Rute; Soares, Maria da Graça Pereira

Date: 2023   |   Origin: Repositório da UTAD

On the numerical range of Kac-Sylvester matrices

Bebiano, Natália; Lemos, Rute; Soares, Graça

Date: 2023   |   Origin: Repositório da UTAD

Projeto To-SEAlert. Desenvolvimentos recentes

Zózimo, Ana Catarina; Fortes, Conceição; Santos, João Alfredo; Pinheiro, Liliana; Lemos, Rute; CAPITÃO, RUI; Fonseca, Ana; Roque, D.; Taborda, Rui

O projeto To-SEAlert tem como objetivo a inclusão de um conjunto de ferramentas/metodologias de modo a tornar o sistema HIDRALERTA (Poseiro, 2019, Fortes et al., 2020, Pinheiro et al., 2020) mais eficiente, fiável e robusto. Essas ferramentas incluem o uso de imagens de satélite e de vídeo, de modelação numérica e física, métodos quantitativos e probabilísticos para a avaliação do risco e planeamento de emergên...


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