Spectral Shorted Matrices
نویسندگان
چکیده
Given a n × n positive semidefinite matrix A and a subspace S of C, Σ(S, A) denotes the shorted matrix of A to S. We consider the notion of spectral shorted matrix ρ(S, A) = lim m→∞ Σ(S, A). We completely characterize this matrix in terms of S and the spectrum and the eigenspaces of A. We show the relation of this notion with the spectral order of matrices and the Kolmogorov’s complexity of A to a vector ξ ∈ C.
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تاریخ انتشار 2005