@Article{JCM-23-17,
author = {Yuan-Bei Deng and Xi-Yan Hu},
title = {On Solutions of Matrix Equation $AXA^T+BYB^T=C$},
journal = {Journal of Computational Mathematics},
year = {2005},
volume = {23},
number = {1},
pages = {17--26},
abstract = {<p style="text-align: justify;">By making use of the quotient singular value decomposition (QSVD) of a matrix pair, this paper establishes the necessary and sufficient conditions for the existence of and the expressions for the general solutions of the linear matrix equation $AXA^T+BYB^T=C$ with the unknown $X$ and $Y$, which may be both symmetric, skew-symmetric, nonnegative definite , positive definite or some cross combinations respectively. Also, the solutions of some optimal problems are derived.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8792.html}
}