NEW ASPECTS IN THE OPTIMAL DESIGN OF FREE GEODETICAL NETWORKS

The first part of the paper seeks new possibilities to select the criteria-system of first order network design, studies the circumstances that may indicate that both first and second order designs be realized with the aid of the criterian matrix. The second part of the paper investigates the possibilities of a dynamic fitting on the criterion matrix while strictly adhering to algebraic and geodetic requirements. It also empha-sizes the importance of complex network design from the point of view of establishing the neces-sary isotropy. The renewal of network design can be connected to the work of Grafarend (1973) [2]. Both in this and in some later ·works he suggests to realize first order network design through minimizing one of the invariants of the variance-covariance matrix of the coordinates. Several authors (e.g. Sarkozy, 1977, Provorov, 1976, etc.) [5,7] indicated that in geodetical networks for engineering control it is more expedient to undertake optimation concerning the invariants of the variance-co variance matrix of functions of the coordinates selected fro