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arXiv · 2501.01955

Positive determinacy of h-Shuhan matrices with $h<2$

Weicai Wu·Mingxuan Yang
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Abstract

In this paper, we define h-Shuhan matrix, which is the generalization of the generalized Cartan matrix, and find the h-Shuhan matrices for all positive semi-definite ( or generalized positive semi-definite, virtual positive semi-definite) with $h<2$. Furthermore, we know that the largest eigenvalue of the matrix $\hat{B}_{n}^{h}$ increases with $n$, but it is always less than $h$ plus a constant $\epsilon\approx2.04998$.

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Weicai Wu, Mingxuan Yang. 2025-01-03. Positive determinacy of h-Shuhan matrices with $h<2$. https://arxiv.org/abs/2501.01955

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