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Topic: generalized Cauchy-like matrices
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Posts: 80
Registered: 9/14/05
generalized Cauchy-like matrices
Posted: Jul 3, 2012 12:45 PM
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I have to compute Matrix-Vector 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
hyper-singular 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.


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