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Linear Operator Equations: Approximation And Regularization

Name: Linear Operator Equations: Approximation And Regularization
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05069344
Price: 90.09 EUR
Availability: InStock
Author: M. T. Nair
ISBN: 9789812835642

M. T. Nair

Lingua

Inglese

Libro Rigido

Codice Libristo: 05069344

Casa editrice World Scientific Publishing Co Pte Ltd, maggio 2009

Many problems in science and engineering have their mathematical formulation as an operator equation... Descrizione completa

Codice Libristo: 05069344

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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 possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.