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Linear Operator Equations

Download or Read eBook Linear Operator Equations PDF written by M. Thamban Nair and published by World Scientific. This book was released on 2009 with total page 264 pages. Available in PDF, EPUB and Kindle.
Linear Operator Equations
Author :
Publisher : World Scientific
Total Pages : 264
Release :
ISBN-10 : 9789812835659
ISBN-13 : 9812835652
Rating : 4/5 (59 Downloads)

Book Synopsis Linear Operator Equations by : M. Thamban Nair

Book excerpt: 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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