Determinantal conjecture

In mathematics, the determinantal conjecture of and asks whether the determinant of a sum A + B of two n-by-n normal complex matrices A and B lies in the convex hull of the n! points Π_i _i + λ_{σ, where the numbers λ_i and λ_i are the eigenvalues of A and B, and σ is an element of the symmetric group S_n.}