Parameter Estimation and Inverse Problems

2021-01-22
#Researchsoftware #Matlab

1. Basic Information

  • ISBN: 978-0-12-804651-7
  • Language: English
  • Published: 2018
  • Copyright: Copyright © 2019 Elsevier Inc. All rights reserved.
  • Imprint: Elsevier
  • No. of pages: 404

2. Table of Contents

  1. Preface to the Third Edition
  2. Chapter One - Introduction
  3. Chapter Two - Linear Regression
  4. Chapter Three - Rank Deficiency and Ill-Conditioning
  5. Chapter Four - Tikhonov Regularization
  6. Chapter Five - Discretizing Inverse Problems Using Basis Functions
  7. Chapter Six - Iterative Methods
  8. Chapter Seven - Sparsity Regularization and Total Variation Techniques
  9. Chapter Eight - Fourier Techniques
  10. Chapter Nine - Nonlinear Regression
  11. Chapter Ten - Nonlinear Inverse Problems
  12. Chapter Eleven - Bayesian Methods
  13. Chapter Twelve - Epilogue
  14. Appendix A - Review of Linear Algebra
  15. Appendix B - Review of Probability and Statistics
  16. Appendix C - Review of Vector Calculus
  17. Appendix D - Glossary of Notation
  18. Bibliography
  19. Index

3. Codes

brianborchers/PEIP: MATLAB code for examples and exercises for the 3rd edition of Parameter Estimation and Inverse Problems

4. Reference

Aster, R. C., Borchers, B., & Thurber, C. H. (2018). Parameter estimation and inverse problems. Elsevier. https://doi.org/10.1016/C2015-0-02458-3