[3] Cottle R. W., Ferland J. A. :
Matrix theoretic criteria for the quasi-convexity and pseudo-convexity of quadratic functions. Linear Algebra and its Applications 5 (1972), 123- 136.
MR 0301038 |
Zbl 0241.90045
[5] Elster K. H.:
Ergebnisse und Probleme der nichtlinearen Optimierung. Wiss. Z. d. Technischen Hochschule Ilmenau 15 (1969), 37-61.
MR 0286494 |
Zbl 0181.22801
[6] Ferland J. A.:
Quasi-convex and pseudo-convex functions on solid convex sets. Techn. Rept. No 71884, Operations Research House, Stanford University, Stanford, Calif. (April 1971).
MR 2621328
[7] Ferland J. A.:
A maximal domains of quasi-convexity and pseudo-convexity for quadratic functions. Mathematical Programming 3 (1972), 178-192.
DOI 10.1007/BF01584988 |
MR 0313279
[9] Gerencsér L.:
On a close relation between quasiconvex and convex functions and related investigations. Math. Operationsforsch. u. Statist. 4(1973), 197-182.
MR 0489904
[10] Keri K.:
An examination of nonnegativity and quasiconvexity conditions of quadratic forms on the nonnegative orthant. Studia Scientarum Mathematicarum Hungarica 7 (1972), 11 - 20.
MR 0314866 |
Zbl 0265.90035
[11] Mangasarian O. L.:
Pseudo-convex functions. SIAM Journal on Control 3 (1965), 281 - 290.
MR 0191659 |
Zbl 0138.15702
[12] Mangasarian O. L.:
Convexity, pseudo-convexity and quasiconvexity of composite functions. Cahiers du Centre d'Etudes de Recherche Opérationelle 12 (1970), 114- 122.
MR 0285276
[13] Martos B.:
Subdefinit matrices and quadratic forms. SIAM Journal on Applied Mathematics 17 (1969), 1215-1223.
DOI 10.1137/0117112 |
MR 0260431
[15] Martos В.:
Quasi-convexity and quasi-monocity in nonlinear programming. Studia Scientarium Mathematicarum Hungarica 2 (1967), 265 - 273.
MR 0224375
[16] Orden A.: Minimization of indefinit quadratic functions with linear constraints. in: Recent advances in mathematical programming. Graves, R. L., Wolfe, P. (ed.) New York 1963.
[18] Schaible S.: Beträge zur quasikonvexen Programmierung. Dissertation, Köln 1971
[19] Schaible S.: Quasi-concave, strictly quasiconcave and pseudo-concave functions. in: Operations Research Verfahren, Henn, R., Künzi, H. P., Schubert, H. (ed.), Meiseuheim 1973.
[20] Stoer J., Witzgall Ch.:
Convexity and Optimization in Finite Dimensions I. Springer-Verlag, Berlin-Heidelberg-New York 1970.
MR 0286498
[21] Swarup K.: Programming with indefinit quadratic functions with linear constraints. Cahiers du Centre d'Etudes de Recherche Opérationelle 8 (1966), 132-136.
[23] Swarup K.:
Indefinit quadratic programming with a quadratic constraint. Ekonom.-Mat. Obzor 4 (1968), 69-75.
MR 0235852
[24] Tammer K.: Über eine Klasse von verallgemeinerten quadratischen Optimierungsproblemen mit nichtkonvexer Zielfunktion, die auf quasi- bzw. pseudokonvexe Probleme zurückführbar sind. Aplikace matematiky, eingereicht 1974.