By Heinz H. Bauschke,Regina Burachik,Patrick L. Combettes,Veit Elser,D. Russell Luke,Henry Wolkowicz
"Fixed-Point Algorithms for Inverse difficulties in technology and Engineering" offers a few of the most modern paintings from top-notch researchers learning projection and different first-order fixed-point algorithms in numerous components of arithmetic and the technologies. the cloth offered presents a survey of the state of the art idea and perform in fixed-point algorithms, picking rising difficulties pushed through purposes, and discussing new ways for fixing those problems.
This publication contains varied views from broad-ranging components of study together with, variational research, numerical linear algebra, biotechnology, fabrics technology, computational solid-state physics, and chemistry.
Topics provided include:
idea of Fixed-point algorithms: convex research, convex optimization, subdifferential calculus, nonsmooth research, proximal element equipment, projection equipment, resolvent and comparable fixed-point theoretic equipment, and monotone operator theory.
Numerical research of fixed-point algorithms: selection of step lengths, of weights, of blocks for block-iterative and parallel tools, and of leisure parameters; regularization of ill-posed difficulties; numerical comparability of assorted methods.
parts of purposes: engineering (image and sign reconstruction and decompression problems), desktop tomography and radiation therapy making plans (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular constitution reconstruction), computational chemistry (molecular constitution simulation) and different areas.
Because of the diversity of functions awarded, this ebook can simply function a foundation for brand new and innovated study and collaboration.
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