Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deviation Maximization for Rank-Revealing QR Factorizations   In this paper we introduce a new column selection strategy, named here
``Deviation Maximization", and apply it to compute rank-revealing QR
factorizations as an alternative to the well known block version of the QR
factorization with the column pivoting method, called QP3 and currently
implemented in LAPACK's xgeqp3 routine. We show that the resulting algorithm,
named QRDM, has similar rank-revealing properties of QP3 and better execution
times. We present numerical test results on a wide data set of numerically
singular matrices, which has become a reference in the recent literature.

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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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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: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: stat