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Zur Konvergenz des Verfahrens der koordinatenweisen Suche. (German) Zbl 0396.90079

MSC:
90C30 Nonlinear programming
90C25 Convex programming
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References:
[1] Donath G. K.-H. Elster: Über Eigenschaften unimodaler Funktionen. Wiss. Z. TH Ilmenau 18 (1972), Heft 3, 103-120. · Zbl 0244.90039
[2] Donaíh G. K.-H. Elster: Über eine Verallgemeinerung unimodaler Funktionen. Godišnik na visšite techničeski učebni zavedenija. Matematika IX (1973), Heft 3, 7-21. · Zbl 0318.90049
[3] Donath G. K.-H. Elster: Zur Konvergenz eines Verfahrens der nichtlinearen Optimierung. Теоретична и приложна механика V (1974), No. 4, 23 - 28. · Zbl 0306.90062
[4] Elster K.-H. G. Folgmann: Über Verallgemeinerungen konvexer Funktionen und deren Anwendung in der Theorie der nichtlinearen Optimierung. Wiss. Z. TH Ilmenau 16 (1970), Heft 4, 23-34.
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[6] Greenberg H. J. W. P. Pierskalla: A review of quasiconvex functions. Op. Res. 19 (1971), 1553-1570. · Zbl 0228.26012
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[8] Karamardian S.: Strictly quasiconvex (concave) functions and duality in mathematical programming. J. Math. Anal. Appl. 20 (1967), 344-358. · Zbl 0157.49603
[9] Kiefer J.: Sequential minimax search for a maximum. Proc. Am. Math. Soc. 4 (1953), 502-506. · Zbl 0050.35702
[10] Mangasarian O. L.: Pseudo-convex functions. J. SIAM, Ser. A, 3 (1965), 281 - 290. · Zbl 0138.15702
[11] Wilde D. J. C. S. Beightler: Foundations of Optimization. Prentice-Hall Inc. Englewood Cliffs 1967. · Zbl 0189.19702
[12] Zangwill W. I.: Nonlinear Programming: A Unified Approach. Prentice-Hall Inc., Englewood Cliffs 1969. · Zbl 0195.20804
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