Applied Iterative Methods
Applied Iterative Methods is a self-contained treatise suitable as both a reference and a graduate-level textbook in the area of iterative algorithms. It is the first book to combine subjects such as optimization, convex analysis, and approximation theory and organize them around a detailed and mathematically sound treatment of iterative algorithms. Such algorithms are used in solving problems in a diverse area of applications, most notably in medical imaging such as emission and transmission tomography and magnetic-resonance imaging, as well as in intensity-modulated radiation therapy. Other applications, which lie outside of medicine, are remote sensing and hyperspectral imaging. This book details a great number of different iterative algorithms that are universally applicable.
" ""... written for scientists and engineers, and mostly concerned with operators on finite-dimensional Euclidean space."" -SciTech Book News, March 2008
With an emphasis on the technique's broad spectrum of practical applications, Charles Byrne's Applied Iterative Methods provides a thorough treatment of the iterative approach, one of the most fundamental processes used in numerical analysis. ... Unique in its cohesive treatment of a diverse array of algorithms, this book serves as a self-contained guide for those interested in exploring the many applications ofthis technique. -L'Enseignement Mathematique, August 2008
This book gives an overview of [inverse] problems and techniques for the solution of industrial inverse problems arising in acoustic signal processing, optical imaging and medical tomography. Byrne has made significant contributions to this area for some time, and many of these important results are collected in this book. The methods are analyzed on a sound mathematical functional analytical basis. . . . The book can be used as a text for a graduate-level course on interative methods for linear systems for mathematicians, computer scientists or engineers. The presentation is very clear. -Maxim Larin, Mathematiacl Reviews, August 2008"