Is there a simple way to rearrange a matrix into a diagonally dominant form?
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I have a matrix and I need to make sure that it is diagonally dominant, I need to do this by ONLY pivoting rows.
I can find codes to test for dominance in that they will check to make sure that the value in the diagonal is greater than the sum of the row, but I cant find anything on how make matlab recognize that it needs to pivot if the diagonal is not greater than the sum of the row
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Answers (2)
Azzi Abdelmalek
on 24 Jan 2013
Edited: Azzi Abdelmalek
on 24 Jan 2013
If I've understood your question
a=[1 2 3;4 5 6;7 8 9]
diag_som=trace(a)
mat_som=sum(a,2)
test=any(mat_som>diag_som) % If test=1 then a is diagonally dominant
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Retta Moges Ashagrie
on 19 Sep 2018
diag_som=trace(a) mat_som=sum(a,2)-diag(a) test=any(mat_som>=diag_som)
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