Non-Iterative Geometric Approach to Nonlinear Parametric Least-Squares Adjustment With or Without Constraints

Abstract

A nonlinear parametric adjustment model with n observations and u parameters can be interpreted geometrically as the description of a u- dimensional model surface embedded in an n-dimensional flat observational space. Two geometric concepts have been identified for the least-squares resolution of this model. The first concept is linked to the Gauss form of the surface, which is the most direct representation of the parametric model; however, the solution is iterative in nature. The second concept is linked to the functional form of the surface, and it leads to a non-iterative solution.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 03, 1991
Accession Number
ADA240094

Entities

People

  • Georges Blaha

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Air Force
  • Algorithms
  • Cartesian Coordinates
  • Classification
  • Coefficients
  • Computations
  • Computers
  • Construction
  • Coordinate Systems
  • Covariance
  • Equations
  • Nonlinear Dynamics
  • Observation
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space