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Re: Name of this matrix property?
Posted:
Sep 7, 2013 8:04 PM


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 offdiagonal elements are nondecreasing > "as you go towards the diagonal". Formally, > > a_{i,j} >= a_{i,j+1} for i<j > a_{i,j} >= a_{i1,j} for i<j > a_{i,j} >= a_{i,j1} 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 DA where D is positive and diagonal?)
diagonally dominant?



