elliptope

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noun

The set of all real, square symmetric matrices whose diagonal entries are all equal to one and whose eigenvalues are all non-negative.

Scrabble 13

Meanings

nounelliptope (plural elliptopes)

plural elliptopes

  1. mathematicsThe set of all real, square symmetric matrices whose diagonal entries are all equal to one and whose eigenvalues are all non-negative.
    1 more example

    In particular, we use a known lower bound on the size of matrix representations of extremal quantum correlations which we apply to high-rank extreme points of the n-dimensional elliptope. Lastly, we study cpsd-graphs, i.e., graphs G with the property that every doubly nonnegative matrix whose support is given by G is cpsd.

    2016, Anupam Prakash, Jamie Sikora, Antonios Varvitsiotis, Zhaohui Wei, “Completely positive semidefinite rank”, in arXiv

Origin

coined in: M. Laurent and S. Poljak, On a positive semidefinite relaxation of the cut polytope, Linear Algebra Appl., 223/224, (1995), 439-461

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Cite this entry
APA

elliptope. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/elliptope

MLA

“elliptope.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/elliptope. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “elliptope,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/elliptope.

Source: elliptope on Wiktionary, CC BY-SA 4.0.