Iterative Methods of Solving Inverse and Ill-Posed Problems

In this book the iterative methods are applied to several inverse and ill-posed problems such as inverse problems of acoustics, seismics, electrodynamics, heat transfer, Cauchy problem for Laplace equation and some others. The method of steepest descent, Landweber iterations, the Newton-Kantorovich method are investigated, the convergence rate is estimated. To make the book useful for PhD students, engineers, applied mathematicians authors added a lot of examples, well-known results and theorems. The big and detailed Appendix with preliminaries from Algebra, Partial Differential Equations, Functional Analysis makes the book in some sense self-contained and rather convenient for readers.
 
In this book the iterative methods are applied to several inverse and ill-posed problems such as inverse problems of acoustics, seismics, electrodynamics, heat transfer, Cauchy problem for Laplace equation and some others. The method of steepest descent, Landweber iterations, the Newton-Kantorovich method are investigated, the convergence rate is estimated. To make the book useful for PhD students, engineers, applied mathematicians authors added a lot of examples, well-known results and theorems. The big and detailed Appendix with preliminaries from Algebra, Partial Differential Equations, Functional Analysis makes the book in some sense self-contained and rather convenient for readers.