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Department of Mathematicshttps://www.univ-soukahras.dz/en/dept/math |
Module: Badly posed problems and regularization techniques
| Lecturer | Taher BACHAOUETTE |
| Information |
Master - Applied Mathematics
Department of Mathematics Website : https://www.univ-soukahras.dz/en/module/951 Semester : S3 Unit : UEM3 Credit : 6 Coefficient: 3 |
| Content | Chapter 01. The solvability of operational equations : Correct solvency, normal solvency, strong solvency, adjoint problems and equivalence theorems. Chapter 02. Generalized Inverse : Definitions and properties, Moore-Penrose inverses, least squares problems. Chapter 03. Ill posed Problems : Definitions and examples of ill-posed problems, family of regularizing operators, stabilization of inversion, regularization in the sense of Tikhonov, convergence and error estimation, optimality, some applications. |
| Evaluation | - Final exam = 67% - Continuous work (33%) = Micro interrogation (12 points) + Participation (06 points) + Discipline (02 points). |
