Might mean (unverified): Convex set defined by linear matrix inequalities.
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We found 2 dictionaries that define the word spectrahedron:

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  1. spectrahedron: Wiktionary
  2. Spectrahedron: Wikipedia, the Free Encyclopedia

Definitions from Wiktionary (spectrahedron)

noun:  (mathematics) The intersection of the cone of positive semidefinite matrices with an affine-linear space

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