Suvarna Garge (Editor)

Determinantal conjecture

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In mathematics, the determinantal conjecture of Marcus (1972) and de Oliveira (1982) asks whether the determinant of a sum X + Y of two n by n normal complex matrices X and Y lies in the convex hull of the n! points Πi (xi + yσ(i)), where the numbers xi and yi are the eigenvalues of X and Y, and σ is an element of the symmetric group Sn.

References

Determinantal conjecture Wikipedia


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