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
Rubrics: ORIGINAL ARTICLES
Authors:
1.
Schmidt United Institute of Physics of the Earth, Russian Academy of Sciences
2.
Schmidt United Institute of Physics of the Earth, Russian Academy of Sciences
Type:
Article
Pages:
from 271
to 299
Status:
Published
Received:
25.02.1999
Accepted:
25.02.1999
Published:
25.02.1999
Language:
English
Keywords:
gravity and magnetic problems, approximation approach, regularization of algebraic equations.
Abstract (English):
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.
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.
Keywords:
gravity and magnetic problems, approximation approach, regularization of algebraic equations.
gravity and magnetic problems, approximation approach, regularization of algebraic equations.
1. Strakhov, Cong'94 Helion- and Astero-Seismology, ASP Conf. Ser., v. 76, 1995.
