3 papers
math.RA2026
Dual orthogonal tripotent matrices
Tan Mei, Kezheng Zuo, Yang Si
In this paper, we study dual orthogonal tripotent matrices, defined by , and examine their fundamental algebraic properties. Additionally, we establi…
math.RA2026
Further results for the dual Hartwig-Spindelb{ö}ck decomposition and its applications
Tan Mei, Kezheng Zuo, Hui Yan
In this paper, we introduce two new forms of the dual Hartwig-Spindelb{ö}ck decomposition and employ them to derive explicit representations for several classes of dual generalize…
math.RA2025
Orthogonal tripotent matrices
Tan Mei, Kezheng Zuo, Wanlin Jiang
In this paper, we present different characterizations of tripotent orthogonal matrices (i.e., A^3 = A = A^* ) in terms of matrix equations, integer powers of AA^* and A^*A, average…