2017
Том 69
№ 6

All Issues

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

Bondarenko L. N., Zhuk P. F.

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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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 12, pp 1912-1918.

Citation Example: Bondarenko L. N., Zhuk P. F. Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems // Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1694–1699.

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