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did
Posts:
76
Registered:
9/14/05


generalized Cauchylike matrices
Posted:
Jul 3, 2012 12:45 PM


Hi,
I have to compute MatrixVector products and solve linear systems of equations where the matrix has a special structure generated by 4 vectors as M(i,j) = a(i) * b(j) / ( c(i)  d(j) )^2
It appears after discretization of a hypersingular integral.
A regularized version can be obtained and involves matrices of the form R(i,j) = M(i,j)  e(i) * f(j) / ( g(i)  h(j) )^2 such that R(i,i) is defined.
Are they fast and robust algorithms for handling such matrices? Fast multipoles? Is it possible (i.e. straightforward) to adapt the methods for generalized Cauchy matrices?
Any hint is welcome.
Did



