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Convergence of some approximation method for solving degenerate operator equations

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References

  1. V.P. Tanana and A.R. Danilin, “Necessary and sufficient conditions for convergence of finite-dimensional approximations of regularized solutions”, Dokl. Akad. Nauk SSSR, 264, No. 5, 1094–1096 (1982).

    MathSciNet  Google Scholar 

  2. V.K. Ivanov, “Linear unstable problems with many-valued operators”, Sibirsk. Mat. Zh., 11, No. 5, 1009–1016 (1970).

    MATH  Google Scholar 

  3. V.K. Ivanov, V.V. Vasin, and V.P. Tanana, Theory of Linear Ill-Posed Problems and Its Applications [in Russian], Nauka, Moscow (1978).

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  4. V.P. Tanana, “A criterion for convergence of approximations in the residual method for linear ill-posed problems”, J. Inverse Ill-Posed Probl., 5, No. 2, 1–12 (1997).

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  5. V.V. Vasin, “Discrete convergence and finite-dimensional approximation of regularized algorithms”, Zh. Vychisl. Mat. i Mat. Fiz., 19, No. 1, 11–21 (1979).

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  6. V.P. Tanana, Methods for Solving Operator Equations [in Russian], Nauka, Moscow (1981).

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  7. V.V. Vasin and A.P. Ageev, Ill-Posed Problems with A Priori Information [in Russian], Nauka, Ekaterinburg (1993).

    MATH  Google Scholar 

  8. V.P. Tanana, “Projection methods and finite-difference approximation of linear ill-posed problems”, Sibirsk. Mat. Zh., 16, No. 6, 1302–1307 (1975).

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Authors
  1. A. V. Tanana
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Chelyabinsk. Translated from Sibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 2, pp. 443–454, March–April, 1999.

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Tanana, A.V. Convergence of some approximation method for solving degenerate operator equations. Sib Math J 40, 382–392 (1999). https://doi.org/10.1007/s11202-999-0018-3

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  • DOI: https://doi.org/10.1007/s11202-999-0018-3

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