|February 13th, 2017, 05:30 AM||#1|
Joined: Feb 2017
If A is a symmetric positive definite matrix, B is diagonal matrix and B>0 then
Can we say A-B is positive definite matrix?
If so, please let me know the source.
Last edited by mkayan; February 13th, 2017 at 05:57 AM.
|February 13th, 2017, 03:42 PM||#2|
Joined: Sep 2016
Math Focus: Dynamical systems, analytic function theory, numerics
definitely not. Take for an example $A = I$ is the identity matrix and $B = 2I$ is twice the identity.
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