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math.RA2023
A Genuine Extension of The Moore-Penrose Inverse to Dual Matrices
Chunfeng Cui, Liqun Qi
The Moore-Penrose inverse is a genuine extension of the matrix inverse. Given a complex matrix, there uniquely exists another complex matrix satisfying the four Moore-Penrose condi…
math.RA2023
Dual Number Matrices with Primitive and Irreducible Nonnegative Standard Parts
Liqun Qi, Chunfeng Cui
In this paper, we extend the Perron-Frobenius theory to dual number matrices with primitive and irreducible nonnegative standard parts. One motivation of our research is to conside…
math.RA2023
Eigenvalues and Jordan Forms of Dual Complex Matrices
Liqun Qi, Chunfeng Cui
Dual complex matrices have found applications in brain science. There are two different definitions of the dual complex number multiplication. One is noncommutative. Another is com…