Shuo Shi

collaborators

Showing math.RAShow all

4 papers · 1 filter

math.RA2026

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 $P \in R^{(2 m + 1) \times (2 m + 1)}$ to those…

math.RA2026

Proof of Nobori's generalized Böttcher-Wenzel inequality conjecture

Shuo Shi, Juan Zhang

Let $m, n \geq 2$ . For $m \times n$ complex matrices $A$ , $C$ and an $n \times m$ matrix $B$ , Nobori (Linear Algebra Appl. 725 (2025) 135--144) proposed the following conjecture on the…

math.RA2026

A counterexample to Huang's weak majorization conjecture

Shuo Shi, Juan Zhang, Yun Zhang

We give a counterexample to a weak majorization problem, proposed by Z. Huang (Linear Algebra Appl., 434 (2) (2011) 457--462), for singular values of Hadamard products of nonnegati…

math.RA2026

A $3\times 3$ counterexample to Lin and Wimmer's rank-minimization conjecture associated with Roth's similarity theorem

Shuo Shi, Juan Zhang, Yun Zhang

We give a $3\times 3$ counterexample, valid over every field, to a rank-minimization conjecture of Lin and Wimmer (Bull. Aust. Math. Soc., 84 (3) (2011), 441--443) related to Rot…

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

Proof of Nobori's generalized Böttcher-Wenzel inequality conjecture

A counterexample to Huang's weak majorization conjecture

A \(3\times 3\) counterexample to Lin and Wimmer's rank-minimization conjecture associated with Roth's similarity theorem