Abstract
For the normalized generalized matrix function $\overline d_{\chi}^{G} (A)$ for $3 \times 3$ positive semi-definite Hermitian matrices $A$, the permanental dominance conjecture $\per A \geq \overline d_{\chi}^{G} (A)$ is known to hold. In this paper, we show that this inequality is not sharp, and give a sharper bound.
Citation
Ryo Tabata. "Sharp inequalities for the permanental dominance conjecture." Hiroshima Math. J. 40 (2) 205 - 213, July 2010. https://doi.org/10.32917/hmj/1280754421
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