Large deviations upper bounds and central limit theorems for non-commutative functionals of gaussian large random matrices
Alice Guionnet (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Alice Guionnet (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Knudsen, C., McDonald, J.J. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Paulus Gerdes (2002)
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Paulus Gerdes (2002)
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Khan, M. Adil, Latif, Naveed, Pecaric, J., Peric, I. (2013)
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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...
M. I. Ostrovskii (1996)
Extracta Mathematicae
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