MAXIMIZING A SECOND-DEGREE POLYNOMIAL ON THE UNIT SPHERE
STANFORD UNIV CA SCHOOL OF HUMANITIES AND SCIENCES
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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.
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