Code: 05190827

Methods for Solving Operator Equations

Name: Methods for Solving Operator Equations
Brand: De Gruyter
SKU: 05190827
Price: 235.01 EUR
Availability: BackOrder
Author: V.P. Tanana
ISBN: 9789067642378

by V.P. Tanana

Language: English
Binding: Hardback
Number of pages: 223
Publisher: De Gruyter, 1997
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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.