Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BFGS convergence to nonsmooth minimizers of convex functions   The popular BFGS quasi-Newton minimization algorithm under reasonable
conditions converges globally on smooth convex functions. This result was
proved by Powell in 1976: we consider its implications for functions that are
not smooth. In particular, an analogous convergence result holds for functions,
like the Euclidean norm, that are nonsmooth at the minimizer.

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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex