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Optimization and Regularization for Computational Inverse Problems and Applications

  • Yanfei Wang
  • Changchun Yang
  • Anatoly G. Yagola

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Introduction

    1. Front Matter
      Pages 1-1
  3. Regularization Theory and Recent Developments

  4. Nonstandard Regularization and Advanced Optimization Theory and Methods

    1. Front Matter
      Pages 139-139
    2. Yanfei Wang, Shiqian Ma, Qinghua Ma
      Pages 183-201
  5. Numerical Inversion in Geoscience and Quantitative Remote Sensing

    1. Front Matter
      Pages 203-203
    2. Jijun Liu, Haibing Wang
      Pages 205-247
    3. Boris Artamonov, Ekaterina Koptelova, Elena Shimanovskaya, Anatoly G. Yagola
      Pages 327-347
  6. Back Matter
    Pages 349-350

About this book

Introduction

"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.

Keywords

Geosciences HEP Inverse Problems Numerical Inversion Optimization Regularization Theory Signal/Image/Data Processing

Editors and affiliations

  • Yanfei Wang
    • 1
  • Changchun Yang
    • 1
  • Anatoly G. Yagola
    • 2
  1. 1.Key Laboratory of Petroleum Geophysics Institute of Geology and GeophysicsChinese Academy of SciencesBeijingChina
  2. 2.Department of Mathematics Faculty of PhysicsLomonosov Moscow State UniversityMoscowRussia

Bibliographic information