Application of Marquardt's Nonlinear Least Squares Algorithm to Free- Flight Yaw Data Analysis

Abstract

Marquardt's algorithm is an imporved technique for the least squares estimation of nonlinear parameters. The present report describes the algorithm and documents a FORTRAN subroutine for carrying it out. A specific application of the subroutine is discussed in detail: fitting a complex yaw equation to data obtained from a Free Flight Range. An example is given in which the fitting process converged to the wrong answer without the algorithm and to the right answer with it.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA016906

Entities

People

  • James W. Bradley

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Computers
  • Convergence
  • Coordinate Systems
  • Curvature
  • Curve Fitting
  • Data Analysis
  • Equations
  • Exterior Ballistics
  • Flight
  • Free Flight
  • Interpolation
  • Iterations
  • Measurement
  • Numbers
  • Photography

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Systems Analysis and Design