M. Tsai

activity

20162020

collaborators

5 papers

math.RT2020

On triangular similarity of nilpotent triangular matrices

Ming-Cheng Tsai, Meaza Bogale, Huajun Huang

Let $B_{n}$ (resp. $U_{n}$ , $N_{n}$ ) be the set of $n \times n$ nonsingular (resp. unit, nilpotent) upper triangular matrices. We use a novel approach to explore the $B_{n}$ -similarity orbi…

cs.NI2019

Distributed User Clustering and Resource Allocation for Imperfect NOMA in Heterogeneous Networks

Abdulkadir Celik, Ming-Cheng Tsai, Redha M. Radaydeh +2

In this paper, we propose a distributed cluster formation (CF) and resource allocation (RA) framework for non-ideal non-orthogonal multiple access (NOMA) schemes in heterogeneous n…

math.RA2019

Nonsurjective maps between rectangular matrix spaces preserving disjointness, triple products, or norms

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

Let $M_{m, n}$ be the space of $m \times n$ real or complex rectangular matrices. Two matrices $A, B \in M_{m, n}$ are disjoint if $A^{*} B = 0_{n}$ and $A B^{*} = 0_{m}$ . In this paper, a char…

cs.NI2018

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

Abdulkadir Celik, Ming-Cheng Tsai, Redha M. Radaydeh +2

In this paper, we consider an non-ideal successive interference cancellation (SIC) receiver based imperfect non-orthogonal multiple access (NOMA) schemes whose performance is limit…

math.RA2016

Trace and determinant preserving maps of matrices

Huajun Huang, Chih-Neng Liu, Patricia Szokol +2

Suppose a map $ϕ$ on the set of positive definite matrices satisfies $det (A + B) = det (ϕ (A) + ϕ (B))$ . Then we have $tr (A B^{- 1}) = tr (ϕ (A) ϕ (B)^{- 1}) .$ Through this viewp…