To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.

After solving the system of linear algebraic equations, another problem is induced that requires revising this coefficient matrix in order to get a new system of equations.

The method ICCG. is one of the best iterative method for solving the system of linear algebraic equations, but it can only be applied to the symmetric and positive definite coefficient matrix.