Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627949 | Applied Mathematics and Computation | 2014 | 15 Pages |
Abstract
Within the framework of the theory of the column and row determinants, we obtain determinantal representations of the Drazin inverse both for Hermitian and arbitrary matrices over the quaternion skew field. Using the obtained determinantal representations of the Drazin inverse we get explicit representation formulas (analogs of Cramer’s rule) for the Drazin inverse solutions of a quaternion matrix equation AXB=DAXB=D and consequently AX=DAX=D, and XB=DXB=D in two cases if A,B are Hermitian or arbitrary.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ivan Kyrchei,