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.