The Optimal Approximations for Solving Linear Ill-Posed Problems |
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Affiliation: | Institute of Mathematics, Ukranian Academy of Sciences, Repin Str. 3, Kiev, 4-25260, Ukraine |
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Abstract: | New projection discrete schemes for ill-posed problems are constructed. We show that for equations with self-adjoint operators the use of self-adjoint projection schemes is not optimal in the sense of the amount of discrete information. |
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