Abstract
An approximateminimum, for the minimization of a function f over a feasible set S, is a point » such that f (x) ¸ f (») ¡ ² for all feasible x near the minimum point p of f on S. This concept is relevant when the problem data, or the computation, are approximate. Under regularity assumptions, an approximate minimum is a local minimum of a perturbation of the given problem. This depends on the property of a strict local minimum, that a small perturbation moves the minimum point only by a small amount.
Citation
B. D. Craven. "PERTURBATIONS AND APPROXIMATE MINIMUM IN CONSTRAINED OPTIMIZATION." Taiwanese J. Math. 5 (3) 603 - 608, 2001. https://doi.org/10.11650/twjm/1500574953
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