Title Optimization and regularization for computational inverse problems and applications / Yanfei Wang, Anatoly G. Yagola, Changchun Yang

Published Beijing : Higher Education Press ; Heidelberg ; New York : Springer, ©2011

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Description 1 online resource (xvii, 350 pages) Contents Introduction -- Regularization Theory and Recent Developments -- Nonstandard Regularization and Advanced Optimization Theory and Methods -- Numerical Inversion in Geoscience and Quantitative Remote Sensing Summary "Optimization and Regularization for Computational Inverse Problems and Applications" focuses on advances in inversion theory and recent developments with practical applications, particularly emphasizing the combination of optimization and regularization for solving inverse problems. This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the nonmonotone gradient method, subspace method and Lie group method; and the practical applications, such as the reconstruction problem for inverse scattering, molecular spectra data processing, quantitative remote sensing inversion, seismic inversion using the Lie group method, and the gravitational lensing problem. Scientists, researchers and engineers, as well as graduate students engaged in applied mathematics, engineering, geophysics, medical science, image processing, remote sensing and atmospheric science will benefit from this book. Dr. Yanfei Wang is a Professor at the Institute of Geology and Geophysics, Chinese Academy of Sciences, China. Dr. Sc. Anatoly G. Yagola is a Professor and Assistant Dean of the Physical Faculty, Lomonosov Moscow State University, Russia. Dr. Changchun Yang is a Professor and Vice Director of the Institute of Geology and Geophysics, Chinese Academy of Sciences, China Analysis wiskunde mathematics engineering remote sensing fotogrammetrie photogrammetry computerwiskunde computational mathematics numerieke wiskunde numerical mathematics toegepaste wiskunde applied mathematics computational science Mathematics (General) Wiskunde (algemeen) Bibliography Includes bibliographical references and index Notes Print version record Subject Inverse problems (Differential equations) -- Congresses Mathematical optimization -- Congresses Optimización matemática Ecuaciones diferenciales Inverse problems (Differential equations) Mathematical optimization Genre/Form proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Yagola, A. G. Yang, Changchun ISBN 9783642137426 3642137423 9783642137419 3642137415 9787040285154 7040285150

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