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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…