Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Critical Point for Functions with Bounded Parameters   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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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas