A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints (Articolo in rivista)

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Label
  • A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1093/imanum/dru004 (literal)
Alternative label
  • Nicola Mastronardi, Paul Van Dooren (2014)
    A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints
    in IMA journal of numerical analysis (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Nicola Mastronardi, Paul Van Dooren (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://imajna.oxfordjournals.org/content/early/2014/03/19/imanum.dru004.full.pdf+html (literal)
Rivista
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  • 26 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto per le Applicazioni del Calcolo ``M. Picone'', sede di Bari, Consiglio Nazionale delle Ricerche Catholic University of Louvain, Department of Mathematical Engineering. (literal)
Titolo
  • A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints (literal)
Abstract
  • The equality constrained indefinite least squares problem involves the minimization of an indefinite quadratic form subject to a linear equality constraint. In this paper, we study this problem and present a numerical method that is proved to be backward stable in a strict sense, i.e., that the computed solution satisfies a slightly perturbed equality constrained indefinite least squares problem. We also perform a sensitivity analysis of this problem and derive bounds for the accuracy of the computed solution. We give several numerical experiments to illustrate these results. (literal)
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