paper

Perturbation bounds for the Mostow and the bipolar decompositions

arXiv:1704.00122 · doi:10.1016/j.laa.2017.03.027

Abstract

Perturbation bounds for Mostow's decomposition and the bipolar decomposition of matrices have been computed. To do so, expressions for the derivative of the geometric mean of two positive definite matrices have been derived.

arXiv comment16 pages, 2 figures, to appear in Linear Algebra and its Applications