TY - JOUR
TI - Unleashing the potential idempotent and (k+1)-potent matrices in MEMS a comprehensive note on linear combinations
AU - Dong Peng-Fei
JN - Thermal Science
PY - 2026
VL - 30
IS - 2
SP - 929
EP - 940
PT - Article
AB - In micro-electro-mechanical systems (MEMS), noise interference poses  significant challenges to the reliability and performance of sensors. This  study explores the role of matrix analysis in addressing these challenges,  focusing on linear combinations of idempotent and (k+1)-potent matrices. The  proposed methodology involves the introduction of a matrix T = αA + βB,  where A is idempotent, B is (k+1)-potent, and (α, β) are non-zero complex  numbers. The central aim of this study is to derive the necessary and  sufficient conditions for T to be involutive, a property that is critical  for the successful removal of noise in MEMS applications. Through a  rigorous theoretical analysis, we establish these conditions and present  them as actionable criteria, supported by lemmas and theorems. The results  of this study contribute to a more profound comprehension of matrix  interactions and offer valuable insights for the enhancement of MEMS  design. This work establishes a theoretical framework integrating matrix  algebra with applied engineering, thereby paving the way for the development  of enhanced noise mitigation strategies in the field of MEMS technology.
DO - 10.2298/TSCI2602929D
ER -