Methods for Solving Operator Equations: 8 (Inverse and Ill-Posed Problems Series, 8) - Hardcover

Tanana, V. P.

Hardcover

ISBN 10: 9067642371 ISBN 13: 9789067642378

Publisher: VSP International Science Publishers, 1997

Synopsis

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

About this title

Synopsis

This monograph investigates the methods for solving linear operator equations from the viewpoint of their stability relative to disturbance of the initial information. It focuses on the operation equations: au=f, where u, f are desired and given elements of certain metric spaces (U and F respectively), and A is a given operator acting from U unto F. The concept of an optimum to a method for solving the equation Au=f with an approximately given operator is introduced and an analysis of the method from the viewpoint of their optimums is pursued. Problems of regularizing operator equations with a disturbance in the operator are considered. General schemes for finite-dimensional approximation of regularized solutions are also formulated and investigated.

Edition details

• Publisher: VSP International Science Publishers
• Publication date: 1997
• Language: English
• ISBN 10: 9067642371
• ISBN 13: 9789067642378
• Binding: Hardcover
• Number of pages: 223