Chapter 11. Principles of Least Squares
Published Online: 9 MAR 2010
DOI: 10.1002/9780470586266.ch11
Copyright © 2010 John Wiley & Sons, Inc.
Book Title
Adjustment Computations: Spatial Data Analysis, Fifth Edition
Additional Information
How to Cite
Ghilani, C. D. (2010) Principles of Least Squares, in Adjustment Computations: Spatial Data Analysis, Fifth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470586266.ch11
Publication History
- Published Online: 9 MAR 2010
- Published Print: 3 MAR 2010
ISBN Information
Print ISBN: 9780470464915
Online ISBN: 9780470586266
- Summary
- Chapter
Keywords:
- principles of least squares;
- closed polygon traverse;
- horizontal angle and distance observations;
- errors in observations - conforming to laws of probability;
- fundamental principle of least squares;
- using matrices for forming normal equations
Summary
This chapter contains sections titled:
Introduction
Fundamental Principle of Least Squares
Fundamental Principle of Weighted Least Squares
Stochastic Model
Functional Model
Observation Equations
Systematic Formulation of the Normal Equations
Tabular Formation of the Normal Equations
Using Matrices to Form Normal Equations
Least Squares Solution of Nonlinear Systems
Least Squares Fit of Points to a Line or Curve
Calibration of an EDM Instrument
Least Squares Adjustment Using Conditional Equations
The Previous Example Using Observation Equations
Software
Problems