APPROXIMATION APPROACH TO THE SOLUTION OF GRAVITY AND MAGNETIC PROBLEMS. 1. THE REGULARIZATION OF THE SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS AS THE MAIN COMPUTATION PROBLEM

Abstract

Since no abstract was given for this paper, its subject matter can be derived from the headings given below: Introduction 1. The brief characteristics of the classical theory available for regularizing the systems of linear algebraic equations with approximate data; 2. The method of the regularized expanded systems of second-order linear algebraic equations and some properties of the method of variation regularization; 3. A new theory of regularizing the systems of linear algebraic equations with approximate data; 4. The classification of the main ideas used for constructing and regularizing the systems of linear algebraic equations, developed in terms of this new theory; 5. Conclusion; 6. References.