2025/08/16 by Natália Bebiano, Bebiano, N., R. Lemos +3
Computer Science · Physics and Astronomy · #Matrix Theory and Algorithms #Advanced Mathematical Theories and Applications #Electromagnetic Scattering and Analysis
paper · pdf · doi:10.48550/arxiv.2508.12039
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 to derive established and new results concerning the numerical range hyperbolic shape.