Solving the Nonlinear Least Square Problem: Application of a General Method.

Abstract

An algorithm for solving the general nonlinear least squares problem is developed. An estimate for the Hessian matrix is constructed as the sum of two matrices. The first matrix is the usual first-order estimate suggested by Gauss, while the second matrix is generated recursively using a rank-one formula. Test results indicate the method is superior to the standard Gauss method and compares favorably with other methods, especially for problems with nonzero residuals at the solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 15, 1974
Accession Number
AD0783212

Entities

People

  • John T. Betts

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Residuals
  • Standards

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Operations Research