Numerical Algorithms

, Volume 66, Issue 1, pp 17–32 | Cite as

On the incomplete oblique projections method for solving box constrained least squares problems

  • H. Scolnik
  • N. Echebest
  • M. T. Guardarucci
Original Paper


The aim of this paper is to extend the applicability of the incomplete oblique projections method (IOP) previously introduced by the authors for solving inconsistent linear systems to the box constrained case. The new algorithm employs incomplete projections onto the set of solutions of the augmented system Ax − r = b, together with the box constraints, based on a scheme similar to the one of IOP, adding the conditions for accepting an approximate solution in the box. The theoretical properties of the new algorithm are analyzed, and numerical experiences are presented comparing its performance with some well-known methods.


Inconsistent systems Box constrained Incomplete projections 

Mathematics Subject Classification (2010)



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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Departamento de Computación, Facultad de Ciencias Exactas y NaturalesUniversidad de Buenos AiresBuenos AiresArgentina
  2. 2.Departamento de Matemática, Facultad de Ciencias ExactasUniversidad Nacional de La PlataLa PlataArgentina
  3. 3.Departamento de Ciencias Básicas, Facultad de IngenieríaUniversidad Nacional de La PlataLa PlataArgentina

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