Efficient implementation of a variable projection algorithm for nonlinear least squares problems

Author:

Krogh Fred T.1

Affiliation:

1. California Institute of Technology, Pasadena

Abstract

Nonlinear least squares problems frequently arise for which the variables to be solved for can be separated into a linear and a nonlinear part. A variable projection algorithm has been developed recently which is designed to take advantage of the structure of a problem whose variables separate in this way. This paper gives a slightly more efficient and slightly more general version of this algorithm than has appeared earlier.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

Reference4 articles.

1. The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate

2. Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation

3. Lawson C.L. and Hanson R.J. Solving Least Squares Problems Prentice-Hall Englewood Cliffs N.J. 1974 (to be published). Lawson C.L. and Hanson R.J. Solving Least Squares Problems Prentice-Hall Englewood Cliffs N.J. 1974 (to be published).

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