Exercise Solution 2.13

1. Expressed in matrix form [2.91], polynomial [2.93] becomes

   [s1]

   

   where

   [s2]

   

   [s3]

   

   [s4]

   
2. Applying the Cholesky algorithm, we obtain Cholesky matrix

   [s5]

   

   We conclude that the matrix c is positive definite.

3. By [2.92]

   [s6]

   
4. 1
5. Because the matrix c is positive definite, it is a minimum.