| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6421369 | Applied Mathematics and Computation | 2013 | 11 Pages |
Abstract
By using the complex representation of quaternion matrices, and the Moore-Penrose generalized inverse, we derive the expressions of the least squares solution with the least norm, the least squares pure imaginary solution with the least norm, and the least squares real solution with the least norm for the quaternion matrix equation AX=B, respectively. Finally, we discuss their applications in color image restoration.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shi-Fang Yuan, Qing-Wen Wang, Xue-Feng Duan,