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Perturbation bounds for Mostow's decomposition and the bipolar decomposition

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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… Click to show full abstract

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.

Keywords: bounds mostow; bipolar decomposition; mostow decomposition; decomposition bipolar; perturbation bounds; decomposition

Journal Title: Linear Algebra and its Applications
Year Published: 2017

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