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Lempio, Frank

Lineare Optimierung in unendlichdimensionalen Vektorräumen. (German) Zbl 0243.90020

Computing 8, 284-290 (1971).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0243.90020

Cited in 4 Documents

MSC:

90C05 Linear programming
52A40 Inequalities and extremum problems involving convexity in convex geometry
52A05 Convex sets without dimension restrictions (aspects of convex geometry)
65K05 Numerical mathematical programming methods
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References:

[1] Collatz, L., undW. Wetterling: Optimierungsaufgaben. S. 138. Berlin-Heidelberg-New York: Springer. 1966. · Zbl 0142.16602
[2] Hestenes, M. R.: Calculus of Variations and Optimal Control Theory. pp. 167–169. New York-London-Sydney: John Wiley and Sons, Inc. 1966. · Zbl 0173.35703
[3] Judin, D. B., undE. G. Golstein: Lineare Optimierung I. S. 249ff. Berlin: Akademie-Verlag. 1968.
[4] Klee, V. L.: Separation Properties of Convex Cones. Proc. Amer. Math. Soc.6, 313–318 (1955). · Zbl 0064.35602 · doi:10.1090/S0002-9939-1955-0068113-7
[5] Klee, V. L.: Separation and Support Properties of Convex Sets–A Survey, in:Balakrishnan, A. V. (ed.): Control Theory and the Calculus of Variations. pp. 235–303. New York-London: Academic Press. 1969.
[6] Klee, V. L.: Persönliche Mitteilung. 1971.
[7] Köthe, G.: Topologische lineare Räume, 2. Aufl. Berlin-Heidelberg-New York: Springer. 1966. · Zbl 0137.31301
[8] Krabs, W.: Lineare Optimierung in halbgeordneten Vektorräumen. Num. Math.11, 220–231 (1968). · Zbl 0262.90034 · doi:10.1007/BF02161844
[9] Lee, E. B., andL. Markus: Foundations of Optimal Control Theory. New York-London-Sydney: John Wiley and Sons, Inc. 1967. · Zbl 0159.13201
[10] Lempio, F.: Separation und Optimierung in linearen Räumen. Dissertation, Hamburg (1971). · Zbl 0243.90020
[11] Levinson, N.: A Class of Continuous Linear Programming Problems. J. Math. Anal. Appl.16, 73–83 (1966). · Zbl 0141.35601 · doi:10.1016/0022-247X(66)90187-9
[12] Van Slyke, R. M., andR. J.-B. Wets: A Duality Theory for Abstract Mathematical Programs with Applications to Optimal Control Theory. J. Math. Anal. Appl.22, 679–706 (1968). · Zbl 0157.16004 · doi:10.1016/0022-247X(68)90206-0
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