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The Lax conjecture is true |
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| Authors: | A S Lewis P A Parrilo M V Ramana |
| Institution: | Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6 ; Automatic Control Laboratory, Swiss Federal Institute of Technology, CH-8092 Zürich, Switzerland ; Corporate Research and Development, United Airlines Inc., Elk Grove Village, Illinois 60007 |
| 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 |
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