Linear operator equations : approximation and regularization
Material type:![Book](/opac-tmpl/lib/famfamfam/BK.png)
- 9789812835642
- 515.7246 NAI
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IIT Gandhinagar | General | 515.7246 NAI (Browse shelf(Opens below)) | Available | 000822 | |
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IIT Gandhinagar | General | 515.7246 NAI (Browse shelf(Opens below)) | Available | 000823 |
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518.63 CHA Applied numerical methods with MATLAB : | 511.1 LIP Discrete mathematic | 515.7246 NAI Linear operator equations : approximation and regularization | 515.7246 NAI Linear operator equations : approximation and regularization | 515.63 BAX Vector calculus | 512.7 SHA Introduction to the theory of numbers | 515.7222 HEL Introduction to spectral theory in Hilbert space |
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-BOOK JACKET
Includes bibliographical references and index.
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