Geodesic
About a special class of nonconvex optimization problems
Applications of Mathematics, Tome 35 (1990) no. 2, pp. 147-157
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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.
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.
DOI : 10.21136/AM.1990.104396
Classification : 90C26, 90C30
Keywords: nonconvex optimization problem; spherical polyhedron; face of a spherical polyhedron; optimality criterion 
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Grygarová, Libuše. About a special class of nonconvex optimization problems. Applications of Mathematics, Tome 35 (1990) no. 2, pp. 147-157. doi: 10.21136/AM.1990.104396

[1] F. Nožička L. Grygarová K. Lommatzsch: Geometrie konvexer Mengen und konvexe Analysis. Akademie-Verlag, Berlin. 1988. | MR

[2] F. Nožička J. Guddat H. Hollatz B. Bank: Theorie der linearen parametrischen Optimierung. Akademie-Verlag, Berlin. 1974.

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