The instability of some gradient methods for ill-posed problems

Author:

Eicke Bertolt,Louis Alfred K.,Plato Robert

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference21 articles.

1. Alifanov, O.M., Rumjancev, S.V.: On the stability of iterative methods for the solution of linear ill-posed problems, Soviet Math. Dokl.20, 1133?1136 (1979)

2. Brakhage, H.: On ill-posed problems and the method of conjugate gradients. In: Engl, H.W., Groetsch, C.W. (eds.) Proc. of the Alpine-U.S. Seminar on Inverse and Ill-Posed Problems, pp. 165?175. Boston: Academic Press 1986

3. Daniel, J.W.: The conjugate gradient method for linear and nonlinear operator equations. SIAM J. Numer. Anal.4, 10?26 (1967)

4. Engl, H.W.: Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind, Numer. Funct. Anal. Optimization3, 201?222 (1981)

5. Gilyazov, S.F.: Iterative solution methods for inconsistent linear equations with nonselfadjoint operators, Moscow Univ. Comput. Math. & Cybern.1, 8?13 (1977)

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