Characterisation of Matrix Entropies
Characterisation of Matrix Entropies
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DOI：
10.1007/s11005-015-0784-8
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发表时间：
2014-02
影响因子：
1.2
通讯作者：
Frank Hansen;Zhihua Zhang
中科院分区：
文献类型：
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作者：
Frank Hansen;Zhihua Zhang
矩阵熵的概念是由Tropp和Chen提出的，目的是度量随机矩阵的起伏。它是由具有规定性质的表示函数构造的某种熵泛函，Tropp和Chen给出了一些例子。给出了矩阵熵的几个抽象刻画及其表示函数的二阶导数的一个充分条件。
The notion of matrix entropy was introduced by Tropp and Chen with the aim of measuring the fluctuations of random matrices. It is a certain entropy functional constructed from a representing function with prescribed properties, and Tropp and Chen gave some examples. We give several abstract characterisations of matrix entropies together with a sufficient condition in terms of the second derivative of their representing function.