THE MAXIMUM AND MINIMUM OF A POSITIVE DEFINITE QUADRATIC POLYNOMIAL ON A SPHERE ARE CONVEX FUNCTIONS OF THE RADIUS
STANFORD UNIV CA DEPT OF COMPUTER SCIENCE
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It is proved that in Euclidean n-space the maximum Mrho and minimum mrho of a fixed positive definite quadratic polynomial Q on spheres with fixed center are both convex functions of the radius rho of the sphere.
- Theoretical Mathematics