Inverse Problems with A Priori Information / Vasin Vladimir V. // . - 2010. - V. , l. . - P. 35-64.

ISSN/EISSN:

нет данных / нет данных

Type:

Proceedings Paper

Abstract:

For the last thirty years in the theory of ill posed problems the direction of investigations was formed that joins with solving the ill posed problems with a priori information. This is the class of problems, for which, together with the basic equation, additional information about the solution to be found is known, and this information is given in the form of some relations and restrictions that contains important data about the object under consideration. Inclusion of this information into algorithm plays the crucial role in increasing the accuracy of solution of the ill posed (unstable) problem. It is especially important in the case when solution is not unique, since it allows one to select a solution that corresponds to reality. In this work, the review of methods for solving such problems is presented. Though the author touches all approaches known to him in this scope, the main attention is paid to the methodology that is developed by the Author and based on iterative processes of the Fejer type, which give flexible and effective realization for a wide class of a priori restrictions. In the final section, description of several applied inverse problems with the a priori information and numerical algorithms for their solving are given.

Author keywords:

POSED PROBLEMS; FIXED-POINTS; REGULARIZATION; EQUATIONS

DOI:

нет данных

Web of Science ID:

ISI:000290698600003

Соавторы в МНС:

—

Другие поля

Поле	Значение
Editor	Wang, Y and Yagola, AG and Yang, CC
Booktitle	OPTIMIZATION AND REGULARIZATION FOR COMPUTATIONAL INVERSE PROBLEMS AND APPLICATIONS
Note	1st International Workshop on Optimization and Regularization for Computational Inverse Problems and Applications, Beijing, PEOPLES R CHINA, JUL 21-25, 2008
Organization	Inst Geol \& Geophys, Chinese Acad Sci; Natl Nat Sci Fdn China
Publisher	SPRINGER-VERLAG BERLIN
Address	HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY
Language	English
ISBN	978-3-642-13741-9
Keywords-Plus	POSED PROBLEMS; FIXED-POINTS; REGULARIZATION; EQUATIONS
Research-Areas	Geology; Mathematics
Web-of-Science-Categories	Geosciences, Multidisciplinary; Mathematics, Applied
Author-Email	vasin@imm.ura.ru
Number-of-Cited-References	49
Doc-Delivery-Number	BUY41