Doubly Autoparallel Structure on Positive Definite Matrices and Its Applications
Doubly Autoparallel Structure on Positive Definite Matrices and Its Applications
复制标题
正定矩阵上的双自并联结构及其应用
DOI：
10.1007/978-3-030-26980-7_26
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Atsumi Ohara
中科院分区：
文献类型：
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作者：
Xiaoyan Zhang;Taiga Senyo;Hiroto Sakai;and Atsumi Ohara;今野紀雄,三橋秀生,佐藤巖;Atsumi Ohara
在统计流形中，我们可以自然地定义与统计流形的原始连接和对偶仿射连接同时自动平行的子流形。我们称它们为双自平行的子流形。本文主要用线性代数的方法引入正定矩阵上的双重自并行，并证明它对两个相关课题的适用性。
In a statistical manifold, we can naturally define submanifolds that are simultaneously autoparallel with respect to both the primal and the dual affine connections of the statistical manifold. We call themdoubly autoparallelsubmanifolds. The aim of this paper is to mainly introduce doubly autoparallelism on positive definite matrices in linear algebraic way and show its applicability to two related topics.