Geophysical data analysis:discrete inverse theory
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Main Authors: | |
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Published: |
Academic Press,
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Publisher Address: | Waltham, MA |
Publication Dates: | 2012. |
Literature type: | Book |
Language: | English |
Edition: | Matlab ed., 3rd ed. |
Subjects: | |
Carrier Form: | 293 p.: ill. ; 24 cm. |
ISBN: |
9780123971609 (hardback) 0123971608 (hardback) |
Index Number: | P3 |
CLC: | P3 |
Call Number: | P3/M545/3rd.ed. |
Contents: |
Machine generated contents note: Preface Introduction Chapter 1: Describing Inverse Problems Chapter 2: Some Comments on Probability Theory Chapter 3: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method Chapter 4: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses Chapter 5: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods Chapter 6: Nonuniqueness and Localized Averages Chapter 7: Applications of Vector Spaces Chapter 8: Linear Inverse Problems and Non-Gaussian Statistics Chapter 9: Nonlinear Inverse Problems Chapter 10: Factor Analysis Chapter 11: Continuous Inverse Theory and Tomography Chapter 12: Sample Inverse Problems Chapter 13: Applications of Inverse Theory to Solid Earth Geophysics Appendices. Includes bibliographical references and index. "The treatment of inverse theory in this book is divided into four parts. Chapters 1 and 2 provide a general background, explaining what inverse problems are and what constitutes their solution as well as reviewing some of the basic concepts from linear algebra and probability theory that will be applied throughout the text. Chapters 3-7 discuss the solution of the canonical inverse problem: the linear problem with Gaussian statistics. This is the best understood of all inverse problems; and it is here that the fundamental notions of uncertainty, uniqueness, and resolution can be most clearly developed. Chapters 8-11 extend the discussion to problems that are non-Gaussian, nonlinear and continuous. Chapters 12-13 provide examples of the use of inverse theory and a discussion of the steps that must be taken to solve inverse problems on a computer"-- |