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Linear Operator Equations

Approximation and Regularization

M. Thamban Nair

Editore:: World Scientific Publishing Company
EAN:: 9789812835642
ISBN:: 9812835644
Pagine:: 264
Formato:: Hardback
Lingua:: Inglese

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Descrizione Linear Operator Equations

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.

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Linear Operator Equations

Approximation and Regularization

M. Thamban Nair

World Scientific Publishing Company

9789812835642

9812835644

Descrizione Linear Operator Equations

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