Equivalent formulations of the gradient

  • Authors:

  • Sanjo Zlobec

  • Affiliations:

  • Department of Mathematics and Statistics, McGill University, Montreal, Canada H3A 2K6

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2011

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Abstract

The gradient of a smooth function in several variables with a Lipschitz derivative is characterized using the quadratic envelope property of the function. The characterization shows that one can determine the gradient without using differentiation.