Applied Iterative Methods

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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.

Charles L. Byrne is a professor in the Department of Mathematical Sciences at the University of Massachusetts, Lowell, where he also served as department chair. He acted as a consultant to the Acoustics Division, US Naval Research Laboratory (from 1979 to 1993) and since 1990 he has been a consultant to the Department of Radiology, University of Massachusetts Medical School, Worcester.