Fixed-Point Algorithms for Inverse Problems in Science and Engineering.pdf

Fixed-Point Algorithms for Inverse Problems in Science and Engineering PDF

Fixed-Point Algorithms for Inverse Problems in Science and Engineering presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems.
This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry.
Topics presented include:
Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory.
Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters

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5.44 MB DATEIGRÖSSE
1461429005 ISBN
Englisch SPRACHE
Fixed-Point Algorithms for Inverse Problems in Science and Engineering.pdf

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Sofia Voigt

Fixed-Point Algorithms for Inverse Problems in …

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Matteo Müller

Journal of the Brazilian Society of Mechanical Sciences and Engineering ... Inverse problems of heat transfer rely on temperature and/or heat flux ... of inverse problems, both from the mathematical and from the engineering points of view. ... are introduced, together with their basic implementation steps and algorithms. The "inverse problem" consists in using the results of actual observations to infer the ... Inverse problems may be difficult to solve for at least two different reasons: ( 1) different ... A set of observable parameters {o^1,o^2,...,o^n . 3. ... When the points on M ... at which the algorithm converges maximizes the posterior volumetric ...

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Noel Schulze

"Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice Fixed-Point Algorithms for Inverse Problems in …

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Jason Lehmann

The "inverse problem" consists in using the results of actual observations to infer the ... Inverse problems may be difficult to solve for at least two different reasons: ( 1) different ... A set of observable parameters {o^1,o^2,...,o^n . 3. ... When the points on M ... at which the algorithm converges maximizes the posterior volumetric ... Boundary inverse problems occupy an important place among the inverse problems ... algorithm, proposed and developed to meet the challenges of identification of the right ... Application of Mathematics in Technical and Natural Sciences ... At the point of observation x∗ we set additional condition and gets this point as the ...

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Jessica Kohmann

Fixed-Point Algorithms for Inverse Problems in … "Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some ofthe most recent work from top-notch researchers studying projection and other first-order fixed-point