5.2.8. Suppose K1 and K2 are positive definite n * n matrices. Suppose that, for i = 1, 2, the minimizer of pi (x) = xTKix - 2xT fi + ci, is x i. Is the minimizer of p (x) = p1 (x) + p2 (x) given by x = x 1 + x 2? Prove or give a counterexample.

Question

Mathematics

Edward Price

18 May, 08:31

5.2.8. Suppose K1 and K2 are positive definite n * n matrices. Suppose that, for i = 1, 2, the minimizer of pi (x) = xTKix - 2xT fi + ci, is x i. Is the minimizer of p (x) = p1 (x) + p2 (x) given by x = x 1 + x 2? Prove or give a counterexample.

+5

Answers (1)

Know the Answer?

Nicolas Morton · Answer 1

Q7 if you multiplying matrix K1 and K2. The number of items on the row of K1 must be equal to the number of items on the columns of matrix K2 if not it's not applicable.