? e-vectors of sum of rank one matrices
- From: "Cheng Cosine" <acosine@xxxxxxxxxxxx>
- Date: Sat, 03 Jun 2006 06:36:01 GMT
Hi:
Given a vector a, the matrix A = a*a' is of rank one. Now suppose one has
a set of N-vector a_1, a_2, ..., a_M, where a_i is n-dim unit column vector.
A matrix
B is defined as: B = c1*a_1*a_1'+c2*a_2*a_2'+...+cM*a_M*a_M', M >= N, c's
are
scalars. Are there relations between eigenvectors of B to the given set of
vectors a_m?
Thanks,
by Cheng Cosine
Jun/03/2k6 NC
.
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