General LeastSquares  Direct Solutions and Bundle Adjustments
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http://www.orbitals.com/self/least/least.htm  


David Manthey  
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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