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.
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Research partly supported by NSERC of Canada.
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Zlobec, S. Equivalent formulations of the gradient. J Glob Optim 50, 549–553 (2011). https://doi.org/10.1007/s10898-011-9648-7
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DOI: https://doi.org/10.1007/s10898-011-9648-7