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Calculation of linear bestL p -approximations

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Abstract

In this paper we are concerned with finding theL p -solution (i.e. minimizing theL p -norm of the residual vector) to a linear approximation problem or, equivalenty, to an overdetermined system of linear equations. An embedding method is described in which the damped Newton iteration is applied to a series of “perturbed problems” in order to guarantee convergence and also increase the convergence rate.

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Authors and Affiliations

  1. Department of Computer Sciences, University of Lund, Lund, Sweden

    Håkan Ekblom

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  1. Håkan Ekblom
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Ekblom, H. Calculation of linear bestL p -approximations. BIT 13, 292–300 (1973). https://doi.org/10.1007/BF01951940

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  • DOI: https://doi.org/10.1007/BF01951940

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