A Two-Dimensional Search Used with a Nonlinear Least-Squares Solver

M. C. Bartholomew-Biggs and A. B. Forbes
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M. C. Bartholomew-Biggs: University of Hertfordshire, Hatfield
A. B. Forbes: National Physical Laboratory, Teddington

Journal of Optimization Theory and Applications, 2000, vol. 104, issue 1, No 13, 215-234

Abstract: Abstract 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.

Keywords: Least squares; Gauss–Newton method; line searches (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004641125471

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