LSRN: A parallel iterative solver for strongly over- or underdetermined systems (Q2875015)

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scientific article; zbMATH DE number 6329840
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English
LSRN: A parallel iterative solver for strongly over- or underdetermined systems
scientific article; zbMATH DE number 6329840

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    13 August 2014
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    linear least squares
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    overdetermined system, underdetermined system, rank-deficient
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    minimum-length solution
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    sparse matrix
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    iterative method
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    preconditioning
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    Chebyshev semi-iterative method
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    Tikhonov regularization
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    ridge regression
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    parallel computing
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    random projection
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    random sampling
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    random matrix
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    randomized algorithm
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    LSRN: A parallel iterative solver for strongly over- or underdetermined systems (English)
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    The authors propose a random normal projection least squares solver for general linear least squares problems and their Tikhonov regularized versions. The method iteratively constructs a provably efficient preconditioner. It has a fully predictable run-time performance and scales well in parallel environments.
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