M. Tsai

activity

20122024

most citedDistributed Cluster Formation and Power-Bandwidth Allocation for Imperfect NOMA in DL-HetNets

69 citations · 93 across the 14 of their papers we have counts for

collaborators

15 papers

math.RA2024

Linear maps on matrices preserving parallel pairs

Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang +1

Two (real or complex) $m \times n$ matrices $A$ and $B$ are said to be parallel (resp. triangle equality attaining, or TEA in short) with respect to the spectral norm $∥ \cdot ∥$ if…

eess.SP2023

Angle-of-Arrival Estimation of Narrow Gaussian Beams for Mobile FSO Platforms

Ming-Cheng Tsai, Muhammad Salman Bashir, Mohamed-Slim Alouini

Due to the narrow beamwidths of laser Gaussian beams, accurate tracking of laser beam's angle-of-arrival is an important problem in mobile free-space optical communications. In mos…

math.FA2023

Linear maps preserving matrices annihilated by a fixed polynomial

Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang +1

Let $M_{n} (F)$ be the algebra of $n \times n$ matrices over an arbitrary field $F$ . We consider linear maps $Φ: {\bf M}_n(\mathbb{F}) \rightarrow {\bf M}_r(\ma…

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…

math.FA2021

Maps preserving trace of products of matrices

Huajun Huang, Ming-Cheng Tsai

We prove the linearity and injectivity of two maps $ϕ_{1}$ and $ϕ_{2}$ on certain subsets of $M_{n}$ that satisfy $tr (ϕ_{1} (A) ϕ_{2} (B)) = tr (A B)$ . We apply it to…

math.RA2020★ 1 cited

Nonsurjective zero product preservers between matrix spaces over an arbitrary field

Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang +1

A map $Φ$ between matrices is said to be zero product preserving if $Φ (A) Φ (B) = 0 whenever A B = 0.$ In this paper, we give concrete descriptions of an additiv…