Linear operator equations approximation and regularization

Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be...

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Bibliographic Details
Main Author: Nair, M. Thamban
Format: eBook Book
Language:English
Published: New Jersey World Scientific Publishing Co. Pte. Ltd 2009
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
WSPC
Subjects:
Linear operators
Numerical & Computational Mathematics
Operator equations
Pure Mathematics
SCIENCE
Discrepancy Principle
Fredholm Integral Equations
Accelerated Methods
Well-Posed Problems
Source Conditions
Regularization Method
Ill-Posed Problems
Operator Equations
Projection Methods
Galerkin Method
Nystrom Method
Parameter Choice Strategy
ISBN:9789812835642, 9812835644, 9789812835659, 9812835652
Online Access:Get full text
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Table of Contents:
  • Linear operator equations : approximation and regularization -- Preface -- Contents -- Chapter 1: Introduction -- Chapter 2: Basic Results from Functional Analysis -- Chapter 3: Well-Posed Equations and Their Approximations -- Chapter 4: Ill-Posed Equations and Their Regularizations -- Chapter 5: Regularized Approximation Methods -- Bibliography -- Index.