Abstract
The aim of the paper is the creation of an efficient algorithm to set up the normal equation system which produces the observation weights under approximation of the inverse of a given criterion matrix. The objective of minimizing the required computer memory and the number of computer operations is reached by analytically formulating the normal equation coefficients for one and two-dimensional networks.
Similar content being viewed by others
References
G. FUNCKE (1982): Verfahren zur Parameterelimination im Gauss-Markoff-Modell und deren Einfluss auf ausgeglichene Beobachtungen. Allgemeine Vermessungs-Nachrichten 89, 112–122.
E. GRAFAREND (1975): Second Order Design of Geodetic Nets. Zeitschrift für Vermessungswesen 100, 158–168.
C.R. RAO and S.K. MITRA (1971): Generalized Inverses of Matrices and its Applications, Wiley, New York.
G. SCHMITT (1978): Numerical Problems Concerning the Second Order Design of Geodetic Networks. Proceedings of the Second International Symposium on Problems Related to the Redefinition of North American Geodetic Networks, Arlington, 555–565.
G. SCHMITT (1979): Zur Numerik der Gewichtsoptimierung in geodätischen Netzen. Deutsche Geodätische Kommission, Rep. C 256.
G. SCHMITT, E. GRAFAREND, B. SCHAFFRIN (1978): Kanonisches Design Geodätischer Netze II. Manuscripta Geodaetica, Vol. 3, 1–22.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Müller, H. A numerically efficient solution of the second-order design problem. Bull. Geodesique 58, 85–99 (1984). https://doi.org/10.1007/BF02521759
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02521759