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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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Bibliographic Details
Main Authors: Aster, Richard C. (Author)
Corporate Authors: Elsevier Science & Technology.
Group Author: Thurber, Clifford H.; Borchers, Brian.
Published: Elsevier Academic Press,
Publisher Address: Amsterdam ; Boston :
Publication Dates: 2005.
Literature type: eBook
Language: English
Series: International geophysics series ; ; v. 90
Subjects:
Parameter estimation.
Mathematical models.
MATHEMATICS > General. > General.
Electronic books.
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 practical resource for general students and professional researchers, where techniques and concepts can be readily picked up on a chapter-by-chapter basis. Parameter Estimation and Inverse Problems is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who may not have an extensive mathematical background. It is accompanied by a Web site that contains Matlab code corresponding to all examples. * Designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical background * Includes three appendices for review of linear algebra and crucial concepts in statistics * Battle-tested in courses at several universities *MATLAB exercises facilitate exploration of material.
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.

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