Abstract: This paper presents the method, appropriate for the non-linear inversion, for the construction of the controlling chaos inversion system and the corresponding algorithm logical design of matrix-element-controlled calculation. In this method, a coupling relationship is established between the iterative inversion-controlled parameters and iterative inversion outputs. In this relationship, the controlled parameters should be updated to ensure that the iterative stability is converged to the desired solution. During the solution process, the data structure method is applied to the analysis of the data structure of the computer-controlling matrix for the controlling chaos theory. The tree structure is presented in this paper to express the subscripted sampling logic used in the calculation of the controlling matrix. Each tree is traveled through the symmetric traversal to locate the combinatorial sequence of each element. The numerical algorithm examples listed in this paper illustrate the effectiveness of controlling chaos inversion method and algorithm.