Accession Number:

AD0698800

Title:

THE MAXIMUM AND MINIMUM OF A POSITIVE DEFINITE QUADRATIC POLYNOMIAL ON A SPHERE ARE CONVEX FUNCTIONS OF THE RADIUS

Descriptive Note:

Technical rept.

Corporate Author:

STANFORD UNIV CA DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1969-07-01

Pagination or Media Count:

13.0

Abstract:

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE