Mathematik-Online problems: Problem 578: Correction of Measuring Data

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	Mathematik-Online problems:
	Problem 578: Correction of Measuring Data

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

The heights of three topographical measuring points shall be corrected, i.e. $h_i \mapsto h_i+c_i$ , so that the match with the measured height differences $d_{ij}$ is as good as possible:

$\displaystyle \sum\limits_{i<j}(h_i+c_i-h_j-c_j-d_{ij})^2 \mapsto \min \; .$

$\includegraphics{bild1061.eps}$

Find the correction

of minimal norm, using the pseudo inverse.

(Authors: Höllig/Höfert)

see also:

Keyword: System of equations, linear: least squares problem
Keyword: Pseudo-inverse
Keyword: Singular value decomposition

automatisch erstellt am 12. 3. 2018