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Title: About a special class of nonconvex optimization problems (English)
Author: Grygarová, Libuše
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 35
Issue: 2
Year: 1990
Pages: 147-157
Summary lang: English
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Category: math
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Summary: The article deals with certain nonconvex optimization problem which have features analogous to those of the linear optimization problems. We can find their absolute extrema and the set all optimal points of such nonconvex optimization problem represents the closure of a face of a spherical polyhedron which is its feasible set. (English)
Keyword: nonconvex optimization problem
Keyword: spherical polyhedron
Keyword: face of a spherical polyhedron
Keyword: optimality criterion
MSC: 90C26
MSC: 90C30
idZBL: Zbl 0718.90074
idMR: MR1042850
DOI: 10.21136/AM.1990.104396
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Date available: 2008-05-20T18:38:50Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/104396
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Reference: [1] F. Nožička L. Grygarová K. Lommatzsch: Geometrie konvexer Mengen und konvexe Analysis.Akademie-Verlag, Berlin. 1988. MR 0966885
Reference: [2] F. Nožička J. Guddat H. Hollatz B. Bank: Theorie der linearen parametrischen Optimierung.Akademie-Verlag, Berlin. 1974.
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