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math.NA2025
The Power Method for Non-Hermitian Dual Quaternion Matrices
Hao Yang, Liqun Qi, Chunfeng Cui
This paper proposes a power method for computing the dominant eigenvalues of a non-Hermitian dual quaternion matrix (DQM). Although the algorithmic framework parallels the Hermitia…
math.NA2025
Nonnegative Biquadratic Tensors
Chunfeng Cui, Liqun Qi
An M-eigenvalue of a nonnegative biquadratic tensor is referred to as an M-eigenvalue if it has a pair of nonnegative M-eigenvectors. If furthermore that pair of M-eigenvectors…
math.NA2024★ 1 cited
Eigenvalues of Dual Hermitian Matrices with Application in Formation Control
Liqun Qi, Chunfeng Cui
We propose a supplement matrix method for computing eigenvalues of a dual Hermitian matrix, and discuss its application in multi-agent formation control. Suppose we have a ring, wh…