Geodesic
Approximate solving of ill posed problems
Mathematica Applicanda, Tome 17 (1989) no. 31, pp. 119-135.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The paper has a form of review article. The aim of the paper is to explain the meaning of solution of ill posed problem. Moreover, it is shown that by using an appropriate method the ill posed problem can be reasonably solved also in the case of incexact data. The regularization method and, especially, certin methods of constructing regularization operators are discussed. The method of approximate solving of ill posed problems is illustrated by an example of the 1st kind Fredholm equation.
DOI : 10.14708/ma.v17i31.1768
Classification : 65J20 (45B05, 65J10)
Mots-clés : Improperly posed problems, regularization, Fredholm integral equations, Equations with linear operators 
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     author = {Teresa Regi\'nska},
     title = {Approximate solving of ill posed problems},
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Teresa Regińska. Approximate solving of ill posed problems. Mathematica Applicanda, Tome 17 (1989) no. 31, pp.  119-135. doi : 10.14708/ma.v17i31.1768. http://geodesic.mathdoc.fr/articles/10.14708/ma.v17i31.1768/

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