About a special class of nonconvex optimization problems

Libuše Grygarová

Aplikace matematiky (1990)

  • Volume: 35, Issue: 2, page 147-157
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Grygarová, Libuše. "About a special class of nonconvex optimization problems." Aplikace matematiky 35.2 (1990): 147-157. <http://eudml.org/doc/15618>.

@article{Grygarová1990,
abstract = {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.},
author = {Grygarová, Libuše},
journal = {Aplikace matematiky},
keywords = {nonconvex optimization problem; spherical polyhedron; face of a spherical polyhedron; optimality criterion; spherical polyhedron; optimality criterion},
language = {eng},
number = {2},
pages = {147-157},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {About a special class of nonconvex optimization problems},
url = {http://eudml.org/doc/15618},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Grygarová, Libuše
TI - About a special class of nonconvex optimization problems
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 2
SP - 147
EP - 157
AB - 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.
LA - eng
KW - nonconvex optimization problem; spherical polyhedron; face of a spherical polyhedron; optimality criterion; spherical polyhedron; optimality criterion
UR - http://eudml.org/doc/15618
ER -

References

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  1. F. Nožička L. Grygarová K. Lommatzsch, Geometrie konvexer Mengen und konvexe Analysis, Akademie-Verlag, Berlin. 1988. (1988) MR0966885
  2. F. Nožička J. Guddat H. Hollatz B. Bank, Theorie der linearen parametrischen Optimierung, Akademie-Verlag, Berlin. 1974. (1974) 

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