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 newest paintings from top-notch researchers learning projection and different first-order fixed-point algorithms in different components of arithmetic and the technologies. the cloth offered presents a survey of the cutting-edge idea and perform in fixed-point algorithms, making a choice on rising difficulties pushed by means of functions, and discussing new ways for fixing those problems.
This e-book comprises assorted views from broad-ranging parts of study together with, variational research, numerical linear algebra, biotechnology, fabrics technology, computational solid-state physics, and chemistry.
Topics offered include:
concept of Fixed-point algorithms: convex research, convex optimization, subdifferential calculus, nonsmooth research, proximal aspect equipment, projection equipment, resolvent and comparable fixed-point theoretic equipment, and monotone operator theory.
Numerical research of fixed-point algorithms: number of step lengths, of weights, of blocks for block-iterative and parallel equipment, and of rest parameters; regularization of ill-posed difficulties; numerical comparability of varied methods.
parts of functions: 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 range of functions awarded, this booklet can simply function a foundation for brand spanking new and innovated examine 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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Extra 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