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math.OC2017
Definite Determinantal Representations via Orthostochastic Matrices
Papri Dey
Determinantal polynomials play a crucial role in semidefinite programming problems. Helton-Vinnikov proved that real zero (RZ) bivariate polynomials are determinantal. However, it…
math.OC2017
Definite Determinantal Representations of Multivariate Polynomials
Papri Dey
In this paper, we consider the problem of representing a multivariate polynomial as the determinant of a definite (monic) symmetric/Hermitian linear matrix polynomial (LMP). Such a…