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32 views

Largescale sparse matrix inversion and using it in ARPACK OP [on hold]

I'm trying rewrite matlab eigs function as C++ wrapper of ARPACK because arpack++ (C++ wrapper for arpack) is very slow in regular mode, shift-invert mode doesn't work properly. But I'm in stuck and I ...
184 views

Random walk on the hypercube

Consider the hypercube $Q_4$. I would like to know how to compute the number of steps of a random walk in this graph such that the probability to be at a vertex is a given number $x$. I think I just ...
132 views

Spectral densities and their corresponding covariance functions.

Hey guys, I'm currently doing a course in stochastic processes and have come across something that has been wrecking my mind for a while. So, let's say that I have some even, symmetric function ...
367 views

Differentials in the Adams Spectral Sequence for spheres p=2

Hey everybody, How does one compute the differentials in the Adams Spectral Sequence for spheres at prime 2 in the range $13\le t-s\le 20$? There seem to be 6 nonzero differentials, and at this ...
735 views

rank-one perturbation of a matrix corresponding to a specific spectrum

Let $A$ be a real symmetric matrix whose spectrum is $\lambda_1,\lambda_2,...,\lambda_n$ Let $A'$ be the matrix obtained by adding a perturbation to $A$. The requirement is that only the second ...