Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithm XXX: SC-SR1: Matlab software for solving shape-changing L-SR1
  trust-region subproblems   We present a MATLAB implementation of the symmetric rank-one (SC-SR1) method
that solves trust-region. subproblems when a limited-memory symmetric rank-one
(L-SR1) matrix is used in place of the true Hessian matrix, which can be used
for large-scale optimization. The method takes advantage of two shape-changing
norms[Burdakov and Yuan 2002; Burdakov et al. 2017] to decompose the
trust-region subproblem into two separate problems. Using one of the proposed
norms, the resulting subproblems have closed-form solutions. Meanwhile, using
the other proposed norm, one of the resulting subproblems has a closed-form
solution while the other is easily solvable using techniques that exploit the
structure of L-SR1 matrices. Numerical results suggest that the SC-SR1 method
is able to solve trust-region subproblems to high accuracy even in the
so-called "hard case". When integrated into a trust-region algorithm, extensive
numerical experiments suggest that the proposed algorithms perform well, when
compared with widely used solvers, such as truncated CG.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: supr-con