A NON-LINEAR ALGORITHM FOR SOLVING INVERSE PROBLEMS IN APPLIED GEOPHYSICS (ON EXAMPLE OF AN INVERSE PROBLEM OF GAMMA-RAY LOGGING)
A stable algorithm for solving inverse problems in applied geophysics (which are reducible to solving a Fredholm integral equation of the first kind with a difference kernel) has been described and demonstrated on example of an inverse problem of gamma-ray logging. The algorithm is based on a non-linear technique of successive approximations using "multiplying" and "dividing" operations, so that the process of solving will not generate negative values that contradict to the physical meaning.