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Spectrahedra are affine sections of the cone of positive semidefinite matrices which form a rich class of convex bodies that properly contains that of polyhedra.
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An exact duality theory for semidefinite programming and its complexity implications
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Polyhedra, spectrahedra, and semidefinite programming
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On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty
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Aspects of Semidefinite Programming
E. de Klerk · 2002
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Convex Optimization
S. Boyd and L. Vandenberghe · 2004
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Sum of squares relaxations for polynomial semidefinite programming
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Yalmip: A toolbox for modeling and optimization in MATLAB
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Positive polynomials and projections of spectrahedra
J. Gouveia and T. Netzer · 2011
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Infeasibility certificates for linear matrix inequalities
I. Klep and M. Schweighofer · 2011
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Nonnegative polynomials and sums of squares
G. Blekherman · 2012
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Linear vs. semidefinite extended formulations: exponential separation and strong lower bounds
S. Fiorini, S. Massar, S. Pokutta, H.R. Tiwary, and R. de Wolf · 2012
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The convex Positivstellensatz in a free algebra
J.W. Helton, I. Klep, and S. McCullough · 2012
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Semidefinite Optimization and Convex Algebraic Geometry
G. Blekherman, P.A. Parrilo, and R. Thomas · 2013
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Matrix sum-of-squares relaxations for robust semi-definite programs
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Containment problems for polytopes and spectrahedra
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An exact duality theory for semidefinite programming based on sums of squares
I. Klep and M. Schweighofer · 2013
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Inclusion of spectrahedra, dilations, the matrix cube problem and coin tossing
J.W. Helton, I. Klep, S. McCullough, and M. Schweighofer · 2014
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Positivstellensatz Certificates for Containment of Polyhedra and Spectrahedra
K. Kellner · 2015
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A semidefinite hierarchy for containment of spectrahedra
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