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 tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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