Accession Number:

AD0611427

Title:

MAXIMIZING A SECOND-DEGREE POLYNOMIAL ON THE UNIT SPHERE

Descriptive Note:

Corporate Author:

STANFORD UNIV CA SCHOOL OF HUMANITIES AND SCIENCES

Personal Author(s):

Report Date:

1965-02-05

Pagination or Media Count:

39.0

Abstract:

Let A be a hermitian matrix of order n, and b a known vector in Cn. The problem is to determine which vectors make phix x-bHAx-b a maximum or minimum on the unit sphere U x xHx 1. The problem is reduced to the determination of a finite point set, the spectrum of A,b. The theory reduces to the usual theory of hermitian forms when b O.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE