Huajun Huang

activity

20222026

collaborators

5 papers

math.FA2026

Weighted Power Means on Upper Triangular Matrix Groups

Huajun Huang, Jimmie Lawson

We study weighted power means on the Lie group $UT_{n}$ of real upper triangular matrices with positive diagonal entries. For $t \in R ∖ {0}$ , the weight…

math.FA2026

The Karcher Mean on $2 \times 2$ Triangular Matrices with Positive Diagonal Entries

Huajun Huang

Let $UT_{n}$ denote the group of $n \times n$ real upper triangular matrices with positive diagonal entries. We derive a closed-form analytic expression for the Karcher…

math.GR2023

Extensions of Yamamoto-Nayak's Theorem

Huajun Huang, Tin-Yau Tam

A result of Nayak asserts that $m \to \infty lim ∣ A^{m} ∣^{1/ m}$ exists for each $n \times n$ complex matrix $A$ , where $∣ A ∣ = (A^{*} A)^{1/2}$ , and the limit is given in terms…

stat.ME2023

Barycenter Estimation of Positive Semi-Definite Matrices with Bures-Wasserstein Distance

Jingyi Zheng, Huajun Huang, Yuyan Yi +2

Brain-computer interface (BCI) builds a bridge between human brain and external devices by recording brain signals and translating them into commands for devices to perform the use…

math.FA2022

Linear k-power preservers and trace of power-product preservers

Huajun Huang, Ming-Cheng Tsai

Let $V$ be the set of $n \times n$ complex or real general matrices, Hermitian matrices, symmetric matrices, positive definite (resp. semi-definite) matrices, diagonal matrices, or…

Weighted Power Means on Upper Triangular Matrix Groups

The Karcher Mean on 2×2 Triangular Matrices with Positive Diagonal Entries

Extensions of Yamamoto-Nayak's Theorem

Barycenter Estimation of Positive Semi-Definite Matrices with Bures-Wasserstein Distance

Linear k-power preservers and trace of power-product preservers

The Karcher Mean on $2 \times 2$ Triangular Matrices with Positive Diagonal Entries