qOptimization and Regularization for Computational Inverse Problems and Applicationsq 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.D. Colton and R. Kress, Using fundamental solutions in inverse scattering, Inverse Problems, 22, 49a66, 2006. ... with a priori separated sound-soft and sound-hard parts, Math. and Computers in Simulation, 66, 267a279, 2004. ... N. Honda, G. Nakamura, R. Potthast and M. Sini, The no-response approach and its relation to non-iterative methods for the inverse scattering, Annali di Matematica, 187, 7a37, 2008. ... Isakov, On uniqueness in the inverse transmission scattering, Comm.
|Title||:||Optimization and Regularization for Computational Inverse Problems and Applications|
|Author||:||Yanfei Wang, Anatoly G. Yagola, Changchun Yang|
|Publisher||:||Springer Science & Business Media - 2011-06-29|