Ebook: Iterative Methods for Ill-Posed Problems: An Introduction

Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the associated initial and boundary conditions.

Frequently, the study of applied optimization problems is also reduced to solving the corresponding equations. These equations, encountered both in theoretical and applied areas, may naturally be classified as operator equations. The current textbook will focus on iterative methods for operator equations in Hilbert spaces.

• Delivers a unified approach for the development of methods to solve real world problems
• Must have for solving problems for numerous problems in industry and research: gravimetry, tomography, nondestructive testing of materials, and airport security
• Excercises at the end of every chapter