BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CS-TR-65-16
       ENTRY:: January 19, 1996
ORGANIZATION:: Stanford University, Department of Computer Science
       TITLE:: Maximizing a second-degree polynomial on the unit sphere
        TYPE:: Technical Report
      AUTHOR:: Forsythe, George E.
      AUTHOR:: Golub, Gene H.
        DATE:: February 1965
       PAGES:: 36
    ABSTRACT:: Let A be a hermitian matrix of order n, and b a known vector
               in $C^n$. The problem is to determine which vectors make
               $\Phi (x) = {(x-b)}^H\ A(x-b)$ a maximum or minimum on the
               unit sphere U = {x : $x^H$x = 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 = 0.
       NOTES:: [Adminitrivia V1/Prg/19960119]
         END:: STAN//CS-TR-65-16