Decomposition and Regularization of the Solution of Ill-Posed Inverse Problems in the Processing of Measurement Information. Part 2. Application of Theory to a Practical Problem

Application of the theory of double decomposition (physical and canonical) and two-sided regularization (of the left and right sides of a system of linear equations) to the solution of one of the ill-posed inverse problems of space geodesy is considered. The problem is related to transformation of the coordinates of the ground points of local satellite geodetic networks to the state reference frame. A variant of the Helmert decomposed model along with an adaptive algorithm for regularization of the solution of an ill-posed inverse problem are proposed.