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The Lax conjecture is true
A.S. Lewis (aslewis Abstract: In 1958 Lax conjectured that hyperbolic polynomials in three variables are determinants of linear combinations of three symmetric matrices. This conjecture is equivalent to a recent observation of Helton and Vinnikov. Keywords: hyperbolic polynomial, Lax conjecture, hyperbolicity cone, semidefinite representable Category 1: Linear, Cone and Semidefinite Programming (Semi-definite Programming ) Category 2: Convex and Nonsmooth Optimization (Convex Optimization ) Citation: Department of Mathematics, Simon Fraser University, Canada Download: [Postscript][PDF] Entry Submitted: 04/18/2003 Modify/Update this entry | ||
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