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Information complexity of projection algorithms for the solution of Fredholm equations of the first kind. II

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Ukrainian Mathematical Journal Aims and scope

Abstract

The optimal order of information complexity is found for certain classes of ill-posed problems.

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References

  1. S. G. Solodkii, “Information complexity of projection algorithms for the solution of Fredholm equations of the first kind. I,” Ukr. Mat. Zh., 50, No. 5, 699–711 (1998).

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  3. V. M. Tikhomirov, Some Problems of the Theory of Approximation [in Russian], Moscow University, Moscow (1976).

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  4. S. Pereverzev, “Optimization of projection methods for solving ill-posed problems,” Computing, 55, No. 2, 113–124 (1995).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    S. G. Solodkii

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  1. S. G. Solodkii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 6, pp. 838–844, June, 1998.

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Solodkii, S.G. Information complexity of projection algorithms for the solution of Fredholm equations of the first kind. II. Ukr Math J 50, 952–959 (1998). https://doi.org/10.1007/BF02515229

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  • DOI: https://doi.org/10.1007/BF02515229

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