Possible Duplicate:
inequalty concering inverses of positive definite matrix
Is $B^{-1}-A^{-1}$ a positive definite matrix?
$P, Q$ are symmetric square. If $P \geq Q > 0$ then show $P^{-1} \leq Q^{-1}$.
Thanks for your help!
Possible Duplicate:
inequalty concering inverses of positive definite matrix
Is $B^{-1}-A^{-1}$ a positive definite matrix?
$P, Q$ are symmetric square. If $P \geq Q > 0$ then show $P^{-1} \leq Q^{-1}$.
Thanks for your help!