@Article{JCM-25-211,
author = {Yuan Lei, Anping Liao and Lei Zhang},
title = {Minimization Problem for Symmetric Orthogonal Anti-Symmetric Matrices},
journal = {Journal of Computational Mathematics},
year = {2007},
volume = {25},
number = {2},
pages = {211--220},
abstract = {<p style="text-align: justify;">By applying the generalized singular value decomposition and the canonical correlation decomposition simultaneously, we derive an analytical expression of the optimal approximate solution $\widehat X$, which is both a least-squares symmetric orthogonal anti-symmetric solution of the matrix equation $A^TXA=B$ and a best approximation to a given matrix $X^*$. Moreover, a numerical algorithm for finding this optimal approximate solution is described in detail, and a numerical example is presented to show the validity of our algorithm.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8686.html}
}