INVERSE EIGENVALUE PROBLEM APPLIED TO WEIGHT OPTIMISATION IN A GEODETIC NETWORK

This paper aims at applying the inverse eigenvalue problem to obtain weight optimisation for geodetic observations. Second order planning in a geodetic network is introduced, working from the spectral point of view and also under certain theoretical concepts. These concepts are those capable of making the application of the inverse eigenvalue to obtain the weight when the final network precision is specified. As an example, the application of these concepts to a net of points with its plane coordinates which associates weight to the variation of the observations and to the magnitude of the measured quality to reach the desired precision. The optimisation criteria is presented and the results are analysed and discussed.