
doi: 10.1002/mma.8916
Unlike real or complex numbers, quaternion multiplication does not satisfy the commutative law. This makes it impossible to generalize some conclusions on semi‐tensor product to quaternion directly, which is valid on real or complex number fields. In this paper, we define semi‐tensor product of quaternion matrices and study the properties of semi‐tensor product of quaternion matrices, and the conclusion is applied to the color digital image restoration model.
semi-tensor product of quaternion matrices, Matrices over special rings (quaternions, finite fields, etc.), Numerical aspects of computer graphics, image analysis, and computational geometry, color digital image restoration, Image processing (compression, reconstruction, etc.) in information and communication theory, Computing methodologies for image processing, structure matrix
semi-tensor product of quaternion matrices, Matrices over special rings (quaternions, finite fields, etc.), Numerical aspects of computer graphics, image analysis, and computational geometry, color digital image restoration, Image processing (compression, reconstruction, etc.) in information and communication theory, Computing methodologies for image processing, structure matrix
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