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.
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...
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.
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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...