# About a special class of nonconvex optimization problems

Aplikace matematiky (1990)

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

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topGrygarová, 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

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

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