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Geophysical Data Analysis: Discrete Inverse
Theory
pptx pdf
Title of Lecture
Lecture 01 (pdf) Describing Inverse Problems
Lecture 02 (pdf) Probability and Measurement Error, Part 1
Lecture 03 (pdf) Probability and Measurement Error, Part 2
Lecture 04 (pdf) The L2 Norm and Simple Least Squares
Lecture 05 (pdf) A Priori Information and Weighted Least Squared
Lecture 06 (pdf) Resolution and Generalized Inverses
Lecture 07 (pdf) Backus-Gilbert Inverse and Trade Off
Lecture 08 (pdf) The Principle of Maximum Likelihood
Lecture 09 (pdf) Inexact Theories
Lecture 10 (pdf) Nonuniqueness and Localized Averages
Lecture 11 (pdf) Vector Spaces and Singular Value Decomposition
Lecture 12 (pdf) Equality and Inequality Constraints
Lecture 13 (pdf) L1 , L∞ Norm Problems and Linear Programming
Lecture 14 (pdf) Nonlinear Problems: Grid and Monte Carlo Searches
Lecture 15 (pdf) Nonlinear Problems: Newton’s Method
Lecture 16 (pdf) Nonlinear Problems: Simulated
Annealing
Lecture 17 (pdf) Factor Analysis
Lecture 18 (pdf) Varimax Factors, Empirical Orthogonal Functions
Lecture 19 (pdf) Backus-Gilbert methods; Radon’s Problem
Lecture 20 (pdf) Linear Operators and Their Adjoints
Lecture 21 (pdf) Fréchet Derivatives
Lecture 22 (pdf) Exemplary Inverse Problems, incl. Filter Design
Lecture 23 (pdf) Exemplary Inverse Problems, incl. Earthquake Location
Lecture 24 (pdf) Exemplary Inverse Problems, incl. Modes Problems
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