44 citations · 184 across the 55 of their papers we have counts for
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Improvements on some partial trace inequalities for positive semidefinite block matrices
Yongtao Li
We study matrix inequalities involving partial traces for positive semidefinite block matrices. First of all, we present a new method to prove a celebrated result of Choi [Linear A…
An Oppenheim type inequality for positive definite block matrices
Yongtao Li, Yuejian Peng
We present an Oppenheim type determinantal inequality for positive definite block matrices. Recently, Lin [Linear Algebra Appl. 452 (2014) 1--6] proved a remarkable extension of Op…
An Oppenheim type determinantal inequality for the Khatri-Rao product
Yongtao Li, Lihua Feng
We first give an Oppenheim type determinantal inequality for the Khatri-Rao product of two block positive semidefinite matrices, and then we extend our result to multiple block mat…
Inequalities for generalized matrix function and inner product
Yang Huang, Yongtao Li, Lihua Feng +1
We present inequalities related to generalized matrix function for positive semidefinite block matrices. We introduce partial generalized matrix functions corresponding to partial…
Extensions of some matrix inequalities related to trace and partial traces
Yongtao Li
We first present a determinant inequality related to partial traces for positive semidefinite block matrices. Our result extends a result of Lin [Czech. Math. J. 66 (2016)] and imp…
Another determinantal inequality involving partial traces
Yongtao Li, Lihua Feng, Weijun Liu +1
Let be a positive semidefinite block matrix with each block -square, then the following determinantal inequality for partial traces holds \[ (\mathrm{tr} A)^{mn}…
Extensions of Brunn-Minkovski's inequality to multiple matrices
Yongtao Li, Lihua Feng
Yuan and Leng (2007) gave a generalization of Ky Fan's determinantal inequality, which is a celebrated refinement of the fundamental Brunn-Minkowski inequality $(\det (A+B))^{1/n}…
A new matrix inequality involving partial traces
Yongtao Li, Weijun Liu, Yang Huang
Let be an positive semidefinite block matrix with each block being -square. We write and for the first and second partial trace,…
Some applications of two completely copositive maps
Yongtao Li, Yang Huang, Lihua Feng +1
A linear map is called completely copositive if the resulting matrix is positive semidefinite for any integer and pos…
The Weighted Arithmetic Mean-Geometric Mean Inequality is Equivalent to the Hölder Inequality
Yongtao Li, Xian-Ming Gu, Jianxing Zhao
In the current note, we investigate the mathematical relations among the weighted arithmetic mean-geometric mean (AM-GM) inequality, the Hölder inequality and the weighted power-me…