Inverse Problem Theory and Methods for Model Parameter Estimation
Publisher: SIAM: Society for Industrial and Applied Mathematics
Published: December 20, 2004
Language: eng
Format: Paperback
Number of pages: 352
ISBN-13: 9780898715729
Subjects: Inverse problems (Differential equations); Mathematics; Science/Mathematics; Differential Equations; Mathematics / Statistics; Inverse problems (Differential; Applied
First sentence: Central to this chapter is the concept of the 'state of information' over a parameter set.
Description: "Prompted by recent developments in inverse theory, Inverse Problem Theory and Methods for Model Parameter Estimation is a completely rewritten version of a 1987 book by the same author. In this version there are many algorithmic details for Monte Carlo methods, least-squares discrete problems, and least-squares problems involving functions. In addition, some notions are clarified, the role of optimization techniques is underplayed, and Monte Carlo methods are taken much more seriously. The first part of the book deals exclusively with discrete inverse problems with a finite number of parameters, while the second part of the book deals with general inverse problems."

"The book is directed to all scientists, including applied mathematicians, facing the problem of quantitative interpretation of experimental data in fields such as physics, chemistry, biology, image processing, and information sciences. Considerable effort has been made so that this book can serve either as a reference manual for researchers or as a textbook in a course for undergraduate or graduate students."--Jacket.