Determinantal conjecture

id: determinantal-conjecture-270-7240749
title: Determinantal conjecture
text: In mathematics, the determinantal conjecture of Marcus (1972) and de Oliveira (1982) 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 Πi (λ(A)i + λ(B)σ(i)), where the numbers λ(A)i and λ(B)i are the eigenvalues of A and B, and σ is an element of the symmetric group Sn.
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category slug: encyclopedia
description: Mathematical conjecture
original url: https://en.wikipedia.org/wiki/Determinantal_conjecture
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date modified: 2023-08-12T18:52:45Z
main entity: {"identifier":"Q5265690","url":"https://www.wikidata.org/entity/Q5265690"}
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