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General Least-Squares - Direct Solutions and Bundle Adjustments

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Visit this site: http://www.orbitals.com/self/least/least.htm

Author:David Manthey
Description: The general least squares process can be used to solve a set of equations for a set of unknowns. The only requirement is that there are at least as many equations as there are unknowns. This paper (in html and PDF formats) provides a new description of least squares that describes the process in a simple, straightforward manner. A complete derivation of the method is not provided, only a functional description. Familiarity with matrices and partial derivatives is assumed. Contents: Introduction; List of Symbols; General Technique (Potential Problems); Linear Technique; Error Residuals, Ellipsoids, and Confidence; An Example Problem (A Linear Solution, A Nonlinear Solution, An Error Ellipse); and References.

Levels: College
Languages: English
Resource Types: Articles
Math Topics: Linear Algebra, Systems of Linear Equations, Numerical Analysis, Computational Statistics

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