THE CONVEXITY OF CIRCULAR CONE TRACEFUNCTIONS

碩士 === 國立臺灣師範大學 === 數學系 === 103 === Uusing the Schur complement theorem[1][2] to nd the sucient conditions which make the Hessian of circular cone trace function positive semi-denite or positive denite, and proved that these monotone conditions can make the trace function convex or strictly convex....

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Bibliographic Details
Main Authors: Wu, Ti-Wen, 吳荻文
Other Authors: Chang, Yu-Lin
Format: Others
Language:en_US
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/91251196593687695434
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Summary:碩士 === 國立臺灣師範大學 === 數學系 === 103 === Uusing the Schur complement theorem[1][2] to nd the sucient conditions which make the Hessian of circular cone trace function positive semi-denite or positive denite, and proved that these monotone conditions can make the trace function convex or strictly convex. After that, some examples are given to explain why we have to satisfy these monotone conditions.