Modified Gauss Elimination Technique for Separable Nonlinear Programming Problem
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full textAn Efficient Algorithm for the Separable Nonlinear Least Squares Problem
The nonlinear least squares problem miny,z‖A(y)z + b(y)‖, where A(y) is a full-rank (N + `)× N matrix, y ∈ Rn, z ∈ RN and b(y) ∈ RN+` with ` ≥ n, can be solved by first solving a reduced problem miny‖ f (y)‖ to find the optimal value y∗ of y, and then solving the resulting linear least squares problem minz‖A(y∗)z + b(y∗)‖ to find the optimal value z∗ of z. We have previously justified the use o...
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Journal title
volume 4 issue 3
pages 163- 170
publication date 2012-08-01
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