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arXiv · 1907.09940

On Critical Point for Functions with Bounded Parameters

Priyanka Roy·Geetanjali Panda
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Abstract

Selection of descent direction at a point plays an important role in numerical optimization for minimizing a real valued function. In this article, a descent sequence is generated for the functions with bounded parameters to obtain a critical point. First, sufficient condition for the existence of descent direction is studied for this function and then a set of descent directions at a point is determined using linear expansion. Using these results a descent sequence of intervals is generated and critical point is characterized. This theoretical development is justified with numerical example.

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Priyanka Roy, Geetanjali Panda. 2019-07-23. On Critical Point for Functions with Bounded Parameters. https://arxiv.org/abs/1907.09940

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