Elementary Transformation and its Applications for Split Quaternion Matrices
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DOI: 10.1007/s00006-019-1027-3
Abstract: In this paper, the elementary transformation is discussed for split quaternion matrices and the upper triangulation process is given. Then two new determinants are defined by means of real and complex representation matrices and the… read more here.
Keywords: quaternion; split quaternion; elementary transformation; transformation applications ... See more keywords
Solving Quaternion Linear System Based on Semi-Tensor Product of Quaternion Matrices
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DOI: 10.3390/sym14071359
Abstract: In this paper, we use semi-tensor product of quaternion matrices, L-representation of quaternion matrices, and GH-representation of special quaternion matrices such as quaternion (anti)-centrosymmetric matrices to solve the special solutions of quaternion matrix equation. Based… read more here.
Keywords: product quaternion; quaternion; semi tensor; tensor product ... See more keywords