University of Hertfordshire

From the same journal

A two-dimensional search for a Gauss-Newton algorithm

Research output: Contribution to journalArticlepeer-review


  • A.B. Forbes
  • M. Bartholomew-Biggs
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Original languageEnglish
Pages (from-to)435-447
JournalAdvanced Modeling and Optimization
Publication statusPublished - 2009


This paper describes a fall-back procedure for use with the Gauss-Newton method for nonlinear least-squares problems. While the basic Gauss-Newton algorithm is often successful, it is well-known that it can sometimes generate poor search directions and exhibit slow convergence. For dealing with such situations we suggest a new two-dimensional search strategy. Numerical experiments indicate that the proposed technique can be effective.


Original article can be found at:

ID: 157497