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About this book
The subject of this book is a hot topic with currently no monographic support. It is more advanced, specialized and mathematical than its competitors, and a comprehensive book on regularization techniques for atmospheric science is much needed for further development in this field. Written by brilliant mathematicians, this research monograph presents and analyzes numerical algorithms for atmospheric retrieval, pulling together all the relevant material in a consistent, very powerful manner.
Contents
Chapter 1. Atmospheric remote sensing Chapter 2. Ill-posedness of linear problems Chapter 3. Tikhonov regularization for linear problems Chapter 4. Statistical inversion theory Chapter 5. Iterative regularization methods for linear problems Chapter 6. Tikhonov regularization for nonlinear problems Chapter 7. Iterative regularization methods for nonlinear problems Chapter 8. Total least squares Chapter 9. Two direct regularization methods Appendix A. Analysis of continuous ill-posed problems Appendix B. A general direct regularization method for linear problems Appendix C. A general iterative regularization method for linear problems Appendix D. A general direct regularization method for nonlinear problems Appendix E. A general iterative regularization method for nonlinear problems
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