Parameter estimation and inverse problems /
Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. Class notes have been developed and reside on the World Wide Web for faciliting use and feedback by teaching colleagues. The authors' treatment promotes an unde...
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Main Authors: | |
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Corporate Authors: | |
Group Author: | ; |
Published: |
Elsevier Academic Press,
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Publisher Address: | Amsterdam ; Boston : |
Publication Dates: | 2005. |
Literature type: | eBook |
Language: | English |
Series: |
International geophysics series ;
; v. 90 |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/bookseries/00746142/90 |
Summary: |
Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. Class notes have been developed and reside on the World Wide Web for faciliting use and feedback by teaching colleagues. The authors' treatment promotes an understanding of fundamental and practical issus associated with parameter fitting and inverse problems including basic theory of inverse problems, statistical issues, computational issues, and an understanding of how to analyze the success and limitations of solutions to these probles. The text is also a |
Carrier Form: | 1 online resource (xii, 301 pages) : illustrations. |
Bibliography: | Includes bibliographical references (pages 283-289) and index. |
ISBN: |
9780120656042 0120656043 0080470556 9780080470559 1280961171 9781280961175 |
Index Number: | QA276 |
CLC: | O175 |
Contents: |
Preface -- 1. Introduction -- 2. Linear Regression -- 3. Discretizing Continuous Inverse Problems -- 4. Rank Deficiency and Ill-Conditioning -- 5. Tikhonov Regularization -- 6. Iterative Methods -- 7. Other Regularization Techniques -- 8. Fourier Techniques -- 9. Nonlinear Regression -- 10. Nonlinear Inverse Problems -- 11. Bayesian Methods -- Appendix A: Review of Linear Algebra -- Appendix B: Review of Probability and Statistics -- Appendix C: Glossary of Notation -- Bibliography -- Index. Linear Regression -- Discretizing Continuous Inverse Problems -- Rank Deficiency and Ill-Conditioning -- Tikhonov Regularization -- Iterative Methods -- Other Regularization Techniques -- Fourier Techniques -- Nonlinear Regression -- Nonlinear Inverse Problems -- Bayesian Methods. |