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In mathematics, the determinantal conjecture of Marcus and de Oliveira 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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type	yago:Abstraction100002137 yago:Cognition100023271 yago:PsychologicalFeature100023100 yago:CognitiveFactor105686481 yago:Determinant105692419 yago:WikicatDeterminants
label	Determinantal conjecture
comment	In mathematics, the determinantal conjecture of Marcus and de Oliveira 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.
sameAs	Determinantal conjecture Determinantal conjecture Determinantal conjecture Determinantal conjecture Determinantal conjecture
topic	Determinant dbr:D'Oliveira's_determinantal_conjecture dbr:De_Oliveira's_determinantal_conjecture wikipedia-en:Determinantal_conjecture dbr:Determinantal_conjecture#this
described by	https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/class/yago/Determinant105692419
Subject	Determinants Conjectures
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dbo:wikiPageWikiLink	Determinant dbr:Eigenvalues Determinants Conjectures dbr:Normal_matrix Convex hull
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dbo:abstract	In mathematics, the determinantal conjecture of Marcus and de Oliveira 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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is http://vocab.deri.ie/void#inDataset of	https://covidontheweb.inria.fr:4443/about/id/http/dbpedia.org/resource/Determinantal_conjecture

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