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Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems

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Abstract

We obtain exact (unimprovable) estimates for the rate of convergence of the s-step method of steepest descent for finding the least (greatest) eigenvalue of a linear bounded self-adjoint operator in a Hilbert space.

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Krupskaya Kherson Pedagogic Institute, Kherson. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 12, pp. 1694–1699, December, 1997.

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Zhuk, P.F., Bondarenko, L.N. Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems. Ukr Math J 49, 1912–1918 (1997). https://doi.org/10.1007/BF02513070

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  • DOI: https://doi.org/10.1007/BF02513070

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