Galerkin information, the hyperbolic cross, and the complexity of operator equations-Reference-Cited by-同舟云学术

Galerkin information, the hyperbolic cross, and the complexity of operator equations

Published:1991-05 Issue:5 Volume:43 Page:593-601
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Pereverzev S. V.,Makhkamov K. Sh.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01058546.pdf

Reference11 articles.

1. J. Traub and H. Wozniakowskii, A General Theory of Optimal Algorithms [Russian translation], Mir, Moscow (1983).

2. K. I. Babenko, Fundamentals of Numerical Analysis [in Russian], Nauka, Moscow (1986).

3. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

4. H. Wozniakowski, ?Information-based complexity,? Ann. Rev. Compt. Sci., No. 1, 319?380 (1986).

5. K. V. Emel'yanov and A. M. Il'in, ?The number of arithmetical operations necessary for the approximate solution of Fredholm's equation of the second kind,? Zh. Vychisl. Mat. Mat, Fiz.,1, No. 4, 905?910 (1967).

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1. Optimal methods for specifying information in the solution of integral equations with analytic kernels;Ukrainian Mathematical Journal;1996-05

2. Optimization of algorithms for the approximate solution of the Volterra equations with infinitely differentiable kernels;Ukrainian Mathematical Journal;1994-11

3. Information complexity of weakly singular integral equations;Ukrainian Mathematical Journal;1994-11

4. On the exact degree of complexity of a class of operator equations of the second kind in a Hilbert space;Ukrainian Mathematical Journal;1994-07