The Quaternion Matrix and Its Applications

Dear Colleagues,

In recent years, quaternion matrix decomposition theory, quaternion matrix eigenvalue theory, special solutions (Hermitian, generalized Hermitian, positive definite, real part symmetric) to quaternion matrix equation or systems, to name but a few examples, have been active areas of research. In color image processing, we can encode the red, green, and blue channel pixel values on the three imaginary parts of a quaternion so that certain properties can be retained as much as possible. As a result, the quaternion matrix model can be widely used in image compression, denoising, and restoration, among numerous other applications. The real matrix representation of a quaternion matrix with generalized symmetric structure plays an important role in quaternion matrix computation.

The goal of this Special Issue is to attract original research papers on the models, theory, algorithms, and applications associated with quaternion matrices. These applications include computer vision, image and video processing, graph and network analysis, and other data-driven applications.

Prof. Dr. Qing-Wen Wang
Dr. Zhuo-Heng He
Prof. Dr. Zhigang Jia
Dr. Guangjing Song
Dr. Yang Zhang
Guest Editors

Manuscript Submission Information

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