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Topic: Name of this matrix property?
Replies: 1   Last Post: Sep 7, 2013 8:04 PM

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Robin Vowels

Posts: 26
Registered: 12/17/11
Re: Name of this matrix property?
Posted: Sep 7, 2013 8:04 PM
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On Wednesday, July 27, 1994 4:11:48 AM UTC+10, Erik Boman wrote:
> Hi,
>
> I have come across a class of matrices which I do not know what is called.
> They have the property that the off-diagonal elements are non-decreasing
> "as you go towards the diagonal". Formally,
>
> a_{i,j} >= a_{i,j+1} for i<j
> a_{i,j} >= a_{i-1,j} for i<j
> a_{i,j} >= a_{i,j-1} for i>j
> a_{i,j} >= a_{i+1,j} for i>j
>
> Does anybody know what this property is called?
> Are there special theorems that hold for this class of matrices
> if A>=0? (or for D-A where D is positive and diagonal?)


diagonally dominant?



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