By Charles L. Byrne
Iterative Optimization in Inverse Problems brings jointly a couple of vital iterative algorithms for clinical imaging, optimization, and statistical estimation. It accommodates contemporary paintings that has now not seemed in different books and attracts at the author’s massive examine within the box, together with his lately constructed classification of SUMMA algorithms. relating to sequential unconstrained minimization equipment, the SUMMA type contains a wide selection of iterative algorithms popular to researchers in numerous components, comparable to records and picture processing.
Organizing the themes from common to extra particular, the ebook first supplies an outline of sequential optimization, the subclasses of auxiliary-function tools, and the SUMMA algorithms. the subsequent 3 chapters current specific examples in additional element, together with barrier- and penalty-function equipment, proximal minimization, and forward-backward splitting. the writer additionally specializes in fixed-point algorithms for operators on Euclidean house after which extends the dialogue to incorporate distance measures except the standard Euclidean distance. within the ultimate chapters, particular difficulties illustrate using iterative equipment formerly mentioned. so much chapters comprise routines that introduce new rules and make the ebook appropriate for self-study.
Unifying quite a few possible disparate algorithms, the ebook indicates the way to derive new homes of algorithms by means of evaluating recognized houses of different algorithms. This unifying procedure additionally is helping researchers—from statisticians engaged on parameter estimation to picture scientists processing scanning info to mathematicians considering theoretical and utilized optimization—discover helpful similar algorithms in components outdoor in their expertise.
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