On Quasi-Convexity and Pseudo-Convexity of Quadratic Functions over an Arbitrary Cone.
FLORIDA UNIV GAINESVILLE DEPT OF INDUSTRIAL AND SYSTEMS ENGINEERING
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Recent works of Martos, Cottle and Ferland, on giving matrix theoretic criteria for the quasi-convexity and pseudo-convexity of quadratic functions over the nonnegative orthant are extended to giving necessary and sufficient conditions for a quadratic function to be quasi-convex and pseudo-convex over an arbitrary self-dual cone in E sup n, with non-empty interior. Author
- Theoretical Mathematics