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SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions

✍ Scribed by Shaohua Pan; Yungyen Chiang; Jein-Shan Chen


Book ID
113772365
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
406 KB
Volume
437
Category
Article
ISSN
0024-3795

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Double piling structure of matrix monoto
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There are basic equivalent assertions known for operator monotone functions and operator convex functions in two papers by Hansen and Pedersen. In this note we consider their results as correlation problem between two sequences of matrix n-monotone functions and matrix n-convex functions, and we foc