A proof of the interlacing conjecture for the singular values of Sylvester-Kac matrices

Fuying Tang, Shuo Shi

Boros and Rózsa (Linear Algebra Appl. 421 (2007) 407--416) reduced the singular value problem for the odd-order Sylvester--Kac matrix $P\in {\mathbb{R}}^{(2m+1)\times (2m+1)}$ to those…