Research output: Contribution to journal › Article › peer-review
A two-dimensional search for a Gauss-Newton algorithm. / Forbes, A.B.; Bartholomew-Biggs, M.
In: Advanced Modeling and Optimization, Vol. 11, No. 4, 2009, p. 435-447.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - A two-dimensional search for a Gauss-Newton algorithm
AU - Forbes, A.B.
AU - Bartholomew-Biggs, M.
N1 - Original article can be found at: http://www.ici.ro/camo/journal/jamo.htm
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
M3 - Article
VL - 11
SP - 435
EP - 447
JO - Advanced Modeling and Optimization
JF - Advanced Modeling and Optimization
SN - 1841-4311
IS - 4
ER -