Hyperbolic Programs, and Their Derivative Relaxations


We study the algebraic and facial structures of hyperbolic programs, and examine natural relaxations of hyperbolic programs, the relaxations themselves being hyperbolic programs.

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Correspondence to James Renegar.

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Renegar, J. Hyperbolic Programs, and Their Derivative Relaxations. Found Comput Math 6, 59–79 (2006). https://doi.org/10.1007/s10208-004-0136-z

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  • Hyperbolicity cone
  • Hyperbolic polynomial
  • Conic programming
  • Convex optimization