The coordinate descent method is a traditional inverse solver to optimization problems. In modern sectors of production research: in computer graphics, computer tomography, a theory of pattern recognition various algorithms of the coordinate descent have been applied. In this paper, we investigate the novel algorithm of selected coordinate descent and outline the difference between this algorithm and the classical coordinate descent. The solution selection is performed owing to the search of the maximum among values of the specific parameter. The maximum indicates a single direction, which is responsible for the minimum of the function in the least square sense. We develop the technique for defining the explicit expression for the resolution measure of the linear systems, which are solved using the proposed algorithm. The algorithm and its resolution tool are applied to seismic observations collected in the area of the Krafla and Theistareykir geothermal power plants, northern Iceland. The result confirms that the distinctive feature of the algorithm is its effectiveness when large-size structures are retrieved. The analysis of the resolution parameter values shows that the calculation of this parameter might be helpful to recognize the true structure.