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

	[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	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)

[Links]

automatisch erstellt am 12. 3. 2018