By Heinz H. Bauschke,Regina Burachik,Patrick L. Combettes,Veit Elser,D. Russell Luke,Henry Wolkowicz
"Fixed-Point Algorithms for Inverse difficulties in technological know-how and Engineering" provides a few of the most modern paintings from top-notch researchers learning projection and different first-order fixed-point algorithms in different parts of arithmetic and the technologies. the cloth offered presents a survey of the state of the art conception and perform in fixed-point algorithms, determining rising difficulties pushed by means of functions, and discussing new ways for fixing those problems.
This booklet comprises varied views from broad-ranging parts of analysis together with, variational research, numerical linear algebra, biotechnology, fabrics technology, computational solid-state physics, and chemistry.
Topics provided include:
thought 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 rest parameters; regularization of ill-posed difficulties; numerical comparability of assorted methods.
components of purposes: engineering (image and sign reconstruction and decompression problems), laptop tomography and radiation remedy 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 offered, this publication can simply function a foundation for brand new and innovated study and collaboration.
Read or Download Fixed-Point Algorithms for Inverse Problems in Science and Engineering: 49 (Springer Optimization and Its Applications) PDF
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Additional info for Fixed-Point Algorithms for Inverse Problems in Science and Engineering: 49 (Springer Optimization and Its Applications)
Fixed-Point Algorithms for Inverse Problems in Science and Engineering: 49 (Springer Optimization and Its Applications) by Heinz H. Bauschke,Regina Burachik,Patrick L. Combettes,Veit Elser,D. Russell Luke,Henry Wolkowicz