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Delahaye, Jean-Paul

Algorithmes pour suites non convergentes. (French) Zbl 0411.65003

Numer. Math. 34, 333-347 (1980).
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scan of Zbl 0411.65003

Cited in 4 Documents

MSC:

65B10 Numerical summation of series
40A05 Convergence and divergence of series and sequences

Keywords:

non-convergent sequence; cluster points; to extract convergent sequences
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\textit{J.-P. Delahaye}, Numer. Math. 34, 333--347 (1980; Zbl 0411.65003)
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References:

[1] Bertier, P., Bouroche, J.M.: Analyse des données multidimensionnelles. Paris: Presses Universitaires de France 1975
[2] Brezinski, C.: Accélération de la convergence en analyse numérique. Cours du D.E.A, Lille 1973
[3] Delahaye, J.P.: Quelques problèmes posés par les suites de points non convergentes et algorithmes pour de telles suites. Thèse de 3e cycle, Lille 1979
[4] Delahaye, J.P.: Expériences numériques sur les algorithmes d’extraction pour suites non convergentes. Pub. ANO n0 5, Lille, Avril 1979
[5] Denel, J.: Extensions of the continuity of point-to-set maps: Applications to fixed point algorithms. Mathematical Programming Study10, 48-68, 1979 · Zbl 0414.90072
[6] Eaves, B.C.: Computing Kakutani Fixed Points. SIAM J. Appl. Math.21, 236-244 (1971) · Zbl 0224.52002
[7] Fiorot, J.C., Huard, P.: Composition and union of general algorithms of optimization. Mathematical Programming Study n0 10, 69-85, 1979 · Zbl 0403.90072
[8] Germain-Bonne, B.: Estimation de la limite de suites et formalisation des procédés d’accélération de convergence. Thèse, Lille, 1978
[9] Huard, P.: Optimisation dans ? n ?2ème partie: Algorithmes généraux. Polycopié. Lille 1972
[10] Huard, P.: Optimization algorithms and point-to-set maps. Mathematical Programming Study8, 308-331, 1975 · Zbl 0312.90052
[11] Huard, P.: Extensions of Zangwill’s theorem. Mathematical Programming Study10, 98-103, 1979 · Zbl 0401.90107
[12] Kakutani, S.: A generalization of Brouwer’s fixed point theorem. Duke Math. J.8, 457-459, 1941 · Zbl 0061.40304
[13] Metcalf, F.T., Rogers, T.D.: The cluster set of sequence of successive approximation. J. Math. Anal. Appl.31, 206-212, 1970 · Zbl 0203.14703
[14] Polak, E.: Computational methods in optimization: A unified approach. New York: Academic Press 1971 · Zbl 0257.90055
[15] Sarkowski, A.N.: Attracting and attracted sets. Soviet Math. Dokl.6, 268-270, 1965 · Zbl 0174.54402
[16] Zangwill, W.I.: Nonlinear programming: A unified approach. Englewood Cliffs: Prentice Hall 1969 · Zbl 0195.20804
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