@article {
author = {Wang, Q. and Yu, G.},
title = {The least-square bisymmetric solution to a quaternion matrix equation with applications},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {2},
pages = {239-257},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we derive the necessary and sufficient conditions for the quaternion matrix equation XA=B to have the least-square bisymmetric solution and give the expression of such solution when the solvability conditions are met. Futhermore, we consider the maximal and minimal inertias of the least-square bisymmetric solution to this equation. As applications, we derive sufficient and necessary conditions for XA=B to have the positive (nonnegative) definite least-square bisymmetric solution and the maximal (minimal) least-square bisymmetric solution.},
keywords = {Quaternion matrix equation,bisymmetric matrix,least-square solution,Inertia},
url = {http://bims.iranjournals.ir/article_340.html},
eprint = {http://bims.iranjournals.ir/article_340_5bfe11787a82c95ca80797926f05c97f.pdf}
}