Parameter Estimation and Inverse Problems, 1. cilt

Ön Kapak
Academic Press, 2005 - 301 sayfa
1 Eleştiri
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
 

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İçindekiler

1 INTRODUCTION
1
2 LINEAR REGRESSION
15
3 DISCRETIZING CONTINUOUS INVERSE PROBLEMS
41
4 RANK DEFICIENCY AND ILLCONDITIONING
55
5 TIKHONOV REGULARIZATION
89
6 ITERATIVE METHODS
119
7 ADDITIONAL REGULARIZATION TECHNIQUES
139
8 FOURIER TECHNIQUES
153
11 BAYESIAN METHODS
201
Appendix A REVIEW OF LINEAR ALGEBRA
219
Appendix B REVIEW OF PROBABILITY AND STATISTICS
251
Appendix C REVIEW OF VECTOR CALCULUS
273
Appendix D GLOSSARY OF NOTATION
281
BIBLIOGRAPHY
283
INDEX
291
International Geophysics Series
297

9 NONLINEAR REGRESSION
171
10 NONLINEAR INVERSE PROBLEMS
191
About the CDROM
303
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Popüler pasajlar

Sayfa 288 - In G. Nolet, editor, Seismic Tomography with Applications in Global Seismology and Exploration Geophysics, chapter 3, pages 49-83.
Sayfa 288 - CF Van Loan. Generalizing the singular value decomposition. SIAM Journal on Numerical Analysis, 13:76-83, 1976.
Sayfa 288 - Leveque, J.-J., 1990. Simultaneous iterative reconstruction technique: physical interpretation based on the generalized least squares solution. J. Geophys. Res. 95, 12553-12559.

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