论文标题
重新访问光谱几何平均值
Revisit on spectral geometric mean
论文作者
论文摘要
在本文中，我们介绍了两个正确定运算符的光谱几何均值，介绍了非线性方程，地球属性，耐受性关系和捏合的极限。我们表明，光谱几何平均值是相对于某些半金属的大地测量。我们还证明，确定性矩阵的公差关系可以通过光谱几何平均值来表征。此外，可以通过光谱几何平均值捏住两个正元组。
In this paper we introduce the limit, unique solution of the nonlinear equations, geodesic property, tolerance relations and pinch on the spectral geometric mean for two positive definite operators. We show that the spectral geometric mean is a geodesic with respect to some semi-metric. We also prove that the tolerance relation on determinant one matrices can be characterized by the spectral geometric mean. Moreover, two positive tuples can be pinched by the spectral geometric mean.
