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 |
. |
Category:
|
math |
. |
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 |
. |
Date available:
|
2008-05-20T18:38:50Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104396 |
. |
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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