Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901847 | Journal of Computational and Applied Mathematics | 2018 | 26 Pages |
Abstract
The present work proposed an alternative approach to find the closed-form solutions of the nonhomogeneous Yakubovich matrix equation XâAXB=CY+R. Based on the derived closed-form solution to the nonhomogeneous Yakubovich matrix equation, the solutions to the nonhomogeneous Yakubovich quaternion j-conjugate matrix equation XâAXÌB=CY+R are obtained by the use of the real representation of a quaternion matrix. The existing complex representation method requires the coefficient matrix A to be a block diagonal matrix over complex field. In contrast in this publication we allow a quaternion matrix of any dimension. As an application, eigenstructure assignment problem for descriptor linear systems is considered.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Caiqin Song, Guoliang Chen,