Results 271 to 280 of about 3,462 (293)

A Matrix Defined by the Quaternion Group

The American Mathematical Monthly, 1902
(1902). A Matrix Defined by the Quaternion Group. The American Mathematical Monthly: Vol. 9, No. 11, pp. 243-248.
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Solvability of a quaternion matrix equation

Applied Mathematics-A Journal of Chinese Universities, 2002
The author studies the solvability of the matrix equations \((*)\) \(AXB=D\) and \((**)\) \(A^*X^*B^*\pm BXA=D\) where \(A\), \(B\), \(D\) are quaternion matrices. He gives necessary and sufficient conditions for the solvability of \((*)\) (resp. of \((**)\)) in Hermitian and in skew-Hermitian matrices (resp.
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Finite quaternionic matrix groups

Representation Theory, 1998
Let D \mathcal {D} be a definite quaternion algebra such that its ...
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Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory

Journal of Mathematical Physics, 2005
By means of complex representation and real representation of a quaternion matrix, this paper studies the problem of diagonalization of a quaternion matrix, gives two algebraic methods for diagonalization of quaternion matrices in quaternionic quantum theory.
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Color Image Recovery Using Low-Rank Quaternion Matrix Completion Algorithm

IEEE Transactions on Image Processing, 2022
Jifei Miao, Kit Ian Kou
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Matrix Representation of Dual Quaternions

2013
After a review of some properties of dual quaternions, De Moivre's and Euler's formulas for the matrices associated with these quaternions are studied. In special case, De Moivre's formula implies that there are uncountably many matrices of unit dual quaternions satisfying 4 n A I = for n≥3.
JAFARI, Mehdi, MERAL, Mücahit, YAYLI, Yusuf   +2 more
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Quaternion-Based Bilinear Factor Matrix Norm Minimization for Color Image Inpainting

IEEE Transactions on Signal Processing, 2020
Jifei Miao, Kit Ian Kou
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An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E

International Journal of Computer Mathematics, 2021
Fengxia Zhang, Musheng Wei
exaly  

The general solution to a system of real quaternion matrix equations

Computers and Mathematics With Applications, 2005
Qing-Wen Wang
exaly  

Nonlinear hierarchical quaternion matrix factorization-based quaternion matrix completion

Signal Processing
Pengling Wu, Kit Ian Kou, Lizhi Liu, Jifei Miao   +3 more
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