Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: Inequalities in matrices
Replies: 8   Last Post: Apr 23, 2013 5:04 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
David C. Ullrich

Posts: 3,174
Registered: 12/13/04
Re: Inequalities in matrices
Posted: Apr 23, 2013 9:35 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Mon, 22 Apr 2013 23:37:22 -0500, quasi <quasi@null.set> wrote:

>On Mon, 22 Apr 2013 19:55:39 -0700 (PDT), gyansorova@gmail.com wrote:
>

>>If I have
>>
>>A>B where A and B are the same type of matrices -
>>what does this mean?

>
>It usually means A[i,j] > B[i,j] for all i,j.


Reasonable guess. But you shouldn't post guesses as though
they were facts.

What it really means is that A - B is positive definite.
Which means that

<(A-B) x, x> > 0

for all x <> 0.

>
>quasi





Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.