论文标题
仿射不变的中端统计
Affine-Invariant Midrange Statistics
论文作者
论文摘要
我们在$ n \ times n $ n $阳性确定的Hermitian矩阵$ \ mathbb {p}（n）$的锥体上制定并讨论了仿射不变的矩阵中端问题，该矩阵基于汤普森指标。在研究向量和矩阵设置中的$ n $点问题之前，该指标的特定计算有效的中点是平均两个正定矩阵的高度可扩展候选者。
We formulate and discuss the affine-invariant matrix midrange problem on the cone of $n\times n$ positive definite Hermitian matrices $\mathbb{P}(n)$, which is based on the Thompson metric. A particular computationally efficient midpoint of this metric is investigated as a highly scalable candidate for an average of two positive definite matrices within this context, before studying the $N$-point problem in the vector and matrix settings.
