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Differential analysis of matrix convex functions II

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Differential analysis of matrix convex functions II. / Hansen, Frank; Tomiyama, Jun.

I: Journal of Inequalities in Pure and Applied Mathematics, Bind 10, Nr. 2, 2009.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Harvard

Hansen, F & Tomiyama, J 2009, 'Differential analysis of matrix convex functions II', Journal of Inequalities in Pure and Applied Mathematics, bind 10, nr. 2.

APA

Hansen, F., & Tomiyama, J. (2009). Differential analysis of matrix convex functions II. Journal of Inequalities in Pure and Applied Mathematics, 10(2).

Vancouver

Hansen F, Tomiyama J. Differential analysis of matrix convex functions II. Journal of Inequalities in Pure and Applied Mathematics. 2009;10(2).

Author

Hansen, Frank ; Tomiyama, Jun. / Differential analysis of matrix convex functions II. I: Journal of Inequalities in Pure and Applied Mathematics. 2009 ; Bind 10, Nr. 2.

Bibtex

@article{2922fbc05f0411dea8de000ea68e967b,
title = "Differential analysis of matrix convex functions II",
abstract = "We continue the analysis in [F. Hansen, and J. Tomiyama, Differential analysis of matrix convex functions. Linear Algebra Appl., 420:102--116, 2007] of matrix convex functions of a fixed order defined in a real interval by differential methods as opposed to the characterization in terms of divided differences given by Kraus. We amend and improve some points in the previously given presentation, and we give a number of simple but important consequences of matrix convexity of low orders.",
author = "Frank Hansen and Jun Tomiyama",
note = "Paper id:: Article 32",
year = "2009",
language = "English",
volume = "10",
journal = "Journal of Inequalities in Pure and Applied Mathematics",
issn = "1443-5756",
publisher = "Research Group in Mathematical Inequalities & Applications",
number = "2",

}

RIS

TY - JOUR

T1 - Differential analysis of matrix convex functions II

AU - Hansen, Frank

AU - Tomiyama, Jun

N1 - Paper id:: Article 32

PY - 2009

Y1 - 2009

N2 - We continue the analysis in [F. Hansen, and J. Tomiyama, Differential analysis of matrix convex functions. Linear Algebra Appl., 420:102--116, 2007] of matrix convex functions of a fixed order defined in a real interval by differential methods as opposed to the characterization in terms of divided differences given by Kraus. We amend and improve some points in the previously given presentation, and we give a number of simple but important consequences of matrix convexity of low orders.

AB - We continue the analysis in [F. Hansen, and J. Tomiyama, Differential analysis of matrix convex functions. Linear Algebra Appl., 420:102--116, 2007] of matrix convex functions of a fixed order defined in a real interval by differential methods as opposed to the characterization in terms of divided differences given by Kraus. We amend and improve some points in the previously given presentation, and we give a number of simple but important consequences of matrix convexity of low orders.

M3 - Journal article

VL - 10

JO - Journal of Inequalities in Pure and Applied Mathematics

JF - Journal of Inequalities in Pure and Applied Mathematics

SN - 1443-5756

IS - 2

ER -

ID: 12770359