eBook - PDF
Iterative Methods for Ill-Posed Problems
An Introduction
- 147 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Iterative Methods for Ill-Posed Problems
An Introduction
About this book
Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the associated initial and boundary conditions.
Frequently, the study of applied optimization problems is also reduced to solving the corresponding equations. These equations, encountered both in theoretical and applied areas, may naturally be classified as operator equations. The current textbook will focus on iterative methods for operator equations in Hilbert spaces.
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Yes, you can access Iterative Methods for Ill-Posed Problems by Anatoly B. Bakushinsky,Mihail Yu. Kokurin,Alexandra Smirnova in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Preface
- Contents
- 1 The regularity condition. Newton's method
- 2 The Gauss-Newton method
- 3 The gradient method
- 4 Tikhonov's scheme
- 5 Tikhonov's scheme for linear equations
- 6 The gradient scheme for linear equations
- 7 Convergence rates for the approximation methods in the case of linear irregular equations
- 8 Equations with a convex discrepancy functional by Tikhonov's method
- 9 Iterative regularization principle
- 10 The iteratively regularized Gauss-Newton method
- 11 The stable gradient method for irregular nonlinear equations
- 12 Relative computational efficiency of iteratively regularized methods
- 13 Numerical investigation of two-dimensional inverse gravimetry problem
- 14 Iteratively regularized methods for inverse problem in optical tomography
- 15 Feigenbaum's universality equation
- 16 Conclusion
- References
- Index