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 February 13th, 2017, 04:30 AM #1 Newbie   Joined: Feb 2017 From: srilanka Posts: 2 Thanks: 0 Positive definiteness 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. Thanks. Last edited by mkayan; February 13th, 2017 at 04:57 AM.
 February 13th, 2017, 02:42 PM #2 Senior Member   Joined: Sep 2016 From: USA Posts: 609 Thanks: 378 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.
 February 13th, 2017, 03:43 PM #3 Newbie   Joined: Feb 2017 From: srilanka Posts: 2 Thanks: 0 many thanks.

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