Bounds for Absolute Positiveness of Multivariate Polynomials

@article{Hong1998BoundsFA,
  title={Bounds for Absolute Positiveness of Multivariate Polynomials},
  author={Hoon Hong},
  journal={J. Symb. Comput.},
  year={1998},
  volume={25},
  pages={571-585}
}
  • H. Hong
  • Published 1 May 1998
  • Mathematics
  • J. Symb. Comput.
A multivariate polynomialP(x1, �,xn) with real coefficients is said to beabsolutely positivefrom a real numberBiff it and all of its non-zero partial derivatives of every order are positive forx1,�,xn�B. We call suchBaboundfor the absolute positiveness ofP. This paper provides a simple formula for computing such bounds. We also prove that the resulting bounds are guaranteed to be close to the optimal ones. 
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