Displaying similar documents to “Means and Concave Products of Positive Semi-Definite Matrices.”

A new proof of the Millinen-Akdeniz theorem.

Heinz Neudecker (1989)

Qüestiió

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A simple proof is given for a theorem by Milliken and Akdeniz (1977) about the difference of the Moore-Penrose inverses of two positive semi-definite matrices.

On Majorization for Matrices

Khan, M. Adil, Latif, Naveed, Pecaric, J., Peric, I. (2013)

Mathematica Balkanica New Series

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In this paper, we give several results for majorized matrices by using continuous convex function and Green function. We obtain mean value theorems for majorized matrices and also give corresponding Cauchy means, as well as prove that these means are monotonic. We prove positive semi-definiteness of matrices generated by differences deduced from majorized matrices which implies exponential convexity and log-convexity of these differences and also obtain Lypunov's and Dresher's type inequalities...