Fixed rank solutions of the matrix equation with statistical applications

Author: Liu Y.  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.86, Iss.4, 2009-04, pp. : 684-692

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Abstract

By applying the canonical correlation decomposition of matrix pairs, the general fixed rank least square solutions of matrix equation Xβ=Y are derived. As statistical applications, an algorithm for computing the least square estimator of the multivariate reduced rank regression model Y=Xβ+ε, r(β)=t is given.