Chatelin, Francoise; Miranker, Willard L. Acceleration by aggregation of successive approximation methods. (English) Zbl 0485.65023 Linear Algebra Appl. 43, 17-47 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 24 Documents MSC: 65F10 Iterative numerical methods for linear systems 65B05 Extrapolation to the limit, deferred corrections Keywords:acceleration; aggregation of successive approximation methods; aggregation-disaggregation processes; Galerkin approximations; probabilistic analysis; numerical experiments × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Beneu, J., Résolution des systèmes d’équations linéaires par la méthode des compensations, (Tech. Rep. No. 69 (1976), Univ. of Lille) [2] Brandt, A., Multi-level adaptive solutions to boundary value problems, Math. Comp., 31, 333-390 (1977) · Zbl 0373.65054 [3] Froehlich, R., A theoritical foundation for coarse mesh variational techniques, General Atomic Ref. GA-78-70 (1967) [4] Gastinel, N., Sur certains procédés itératifs non linéaires de résolution de systèmes d’équations du \(1^e\) degré, ((1962), IFIP München). ((1963), North Holland), 97-101 · Zbl 0135.37502 [5] Hackbusch, W., On the multi-grid method applied to difference equations, Computing, 20, 291-306 (1978) · Zbl 0391.65045 [6] Householder, A. S.; Bauer, F. L., On certain iterative methods for solving linear systems, Numer. Math., 2, 55-59 (1960) · Zbl 0168.13501 [7] Krasnoselskii, M. A.; Vainikko, G. M., Approximate Solution of Operator Equations (1972), Wolters-Noordhoff: Wolters-Noordhoff Groningen · Zbl 0231.41024 [8] Miranker, W. L., Hierarchical relaxation, Computing, 23, 267-285 (1979) · Zbl 0404.68034 [9] Miranker, W. L.; Pan, V. Ya., Methods of aggregation, Linear Algebra Appl., 29, 231-257 (1980) · Zbl 0496.65010 [10] Nakamura, S., Analysis of the coarse-mesh rebalancing effect on Chebyshev polynomial iterations, Nuclear Science Eng., 61, 98-106 (1975) [11] Settari, A.; Aziz, K., A generalization of the additive correction methods for the iterative solution of matrix equations, SIAM J. Numer. Anal., 10, 506-521 (1973) · Zbl 0256.65020 [12] Sloan, I. H., Error analysis for a class of degenerate kernel methods, Numer. Math., 25, 231-238 (1976) · Zbl 0304.65092 [13] Vakhutinsky, I. Y.; Dudkin, L. M.; Ryvkin, A. A., Iterative aggregation—A new approach to the solution of large scale problems, Econometrica, 47, 821-841 (1979) · Zbl 0429.90037 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.