University of Hertfordshire

From the same journal

A Two-dimensional Search used with a Non-Linear least Squares Solver

Research output: Contribution to journalArticle

  • M. Bartholomew-Biggs
  • A.B. Forbes
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Original languageEnglish
Pages (from-to)215-234
JournalJournal of Optimization Theory and Applications
Publication statusPublished - 2000


This note describes a modified search strategy for use with a Gauss-Newton method for nonlinear least-squares problems. If a standard line search along the Gauss-Newton vector p is unable to make much progress, a new search direction is constructed which lies in the plane of p and the steepest-descent vector. Numerical experiments show that a quadratic model of the objective function in this plane can yield effective corrections when the basic Gauss-Newton technique experiences difficulty.


“The original publication is available at”. Copyright Springer. DOI: 10.1023/A:1004641125471 [Full text of this article is not available in the UHRA]

ID: 137681