<p>Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a specialย numerical treatment. This book presents regularization schemes whi
Iterative regularization methods for nonlinear ill-posed problems
โ Scribed by Kaltenbacher, Barbara
- Publisher
- Walter de Gruyter
- Year
- 2008
- Tongue
- English
- Leaves
- 200
- Series
- Computational and Applied Mathematics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Subjects
ะะฐัะตะผะฐัะธะบะฐ;ะััะธัะปะธัะตะปัะฝะฐั ะผะฐัะตะผะฐัะธะบะฐ;
๐ SIMILAR VOLUMES
<p>Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the just
"Regularization Methods for Ill-Posed Problems" presents current theories and methods for obtaining approximate solutions of basic classes of incorrectly posed problems. The book provides simple conditions of optimality and the optimality of the order of regular methods for solving a wide class of u
Machine generated contents note: 1. The regularity condition. Newton's method -- 1.1. Preliminary results -- 1.2. Linearization procedure -- 1.3. Error analysis -- Problems -- 2. The Gauss -- Newton method -- 2.1. Motivation -- 2.2. Convergence rates -- Problems -- 3. The gradient method -- 3.1. Th