About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Grygarová, Libuše
About a special class of nonconvex optimization problems. (English). Aplikace matematiky, vol. 35 (1990), issue 2, pp. 147-157
MSC: 90C26, 90C30 | MR 1042850 | Zbl 0718.90074 | DOI: 10.21136/AM.1990.104396
Keywords:
nonconvex optimization problem; spherical polyhedron; face of a spherical polyhedron; optimality criterion
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.
References:
[1] F. Nožička L. Grygarová K. Lommatzsch: Geometrie konvexer Mengen und konvexe Analysis. Akademie-Verlag, Berlin. 1988. MR 0966885
[2] F. Nožička J. Guddat H. Hollatz B. Bank: Theorie der linearen parametrischen Optimierung. Akademie-Verlag, Berlin. 1974.
Partner of
EuDML logo