On The Condition That Two Hyper-Ellipsoids Have no Points in Common

  • Kim, Seong-Ju (Department of Statistics, Sung Kyun Kwan University, Chongro-ku, Seoul 110)
  • Published : 1987.06.01

Abstract

The condition that two hyper-ellipsoids have no points in common is derived using the simultaneous diagonalization of the two hyper-ellipsoids. It is observed that the simultaneous diagonalization is composed of rotation and extension followed by another rotation. An approximation to this condition in terms of the generalized distance is discussed.

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