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A regularization method for nonlinear ill-posed problems

✍ Scribed by Jürgen Weese

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
735 KB
Volume
77
Category
Article
ISSN
0010-4655

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✦ Synopsis

Often, physically interesting functions are not directly accessible by an experiment, and must be calculat an experimental accessible quantity. If this calculation requires the inversion of a Fredholm integral equk ind, the determination of the physically interesting function is an ill-posed problem. In this case, linem ethods should be used to perform the calculations. However, in several applications the relation betwee function and the experimental data is given by a nonlinear integral equation. For these problems, a nonline method is presented together with the program NLREG. The nonlinear regularization method is essentially of Tikhonov regularization to nonlinear ill-posed problems.

📜 SIMILAR VOLUMES

Method of Discrepancy in Interpolation S
Method of Discrepancy in Interpolation Spaces for Nonlinear Ill-posed Problems
✍ Nguyen Buong 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 251 KB

In this note we study a variational method of regularization to solve nonlinear ill-posed problems involving monotone operators in infinite dimensional Banach space, when perturbative operators are non -monotone, basing on minimization of norm in interpolation space over closed and convex sets.