On the convergence of the generalized linear least squares algorithm

C. Negoita, Rosemary Renaut

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper considers the issue of parameter estimation for biomedical applications using nonuniformly sampled data. The generalized linear least squares (GLLS) algorithm, first introduced by Feng and Ho (1993), is used in the medical imaging community for removal of bias when the data defining the model are correlated. GLLS provides an efficient iterative linear algorithm for the solution of the non linear parameter estimation problem. This paper presents a theoretical discussion of GLLS and introduces use of both Gauss Newton and an alternating Gauss Newton for solution of the parameter estimation problem in nonlinear form. Numerical examples are presented to contrast the algorithms and emphasize aspects of the theoretical discussion.

Original languageEnglish (US)
Pages (from-to)137-158
Number of pages22
JournalBIT Numerical Mathematics
Issue number1
StatePublished - Mar 2005


  • Generalized linear least squares
  • Iterative methods
  • Parameter estimation

ASJC Scopus subject areas

  • Software
  • Computer Networks and Communications
  • Computational Mathematics
  • Applied Mathematics


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