Spectral shorted matrices

J. ANTEZANA; G. CORACH; D STOJANOFF

LINEAR ALGEBRA AND ITS APPLICATIONS

ELSEVIER SCIENCE INC

Lugar: Amsterdam; Año: 2004 p. 197 - 217

0024-3795

Given a nxn positive semidefinite matrix A and a subspace \ese of C^n, \Sigma (\ese, A) denotes the shorted matrix of A to \ese. We consider the notion of spectral shorted matrix \rho (\ese, A) = \lim _{m \to \infty } \Sigma (\ese, A^m )^{1/m}. We completely characterize this martix in terms of $\ese$ 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 \xi in C^n.