Reduction of the condition number by ridge-type estimation methods in GPS equations systems

We present an analysis of ridge-type estimation methods and their performance in response to different kinds, illconditioned, of equations systems derived from GPS observations, in order to overcome the effects of this illconditioning. We deal with the elements of the main diagonal of the normal matrix in order to alter the solution. We compare the solution accuracy with the least squares standard techniques. This method would decrease the spread on the range of the eigenvalues and improve the conditioning of the matrix. Therefore, the solution of GPS equation systems will be also improved.