Volume 15, Issue 3
Least-squares mirrorsymmetric solution for matrix equations (AX=B, XC=D)

F. Li, X. Hu & L. Zhang

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 15 (2006), pp. 217-226

Published online: 2006-08

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  • Abstract
In this paper, least-squares mirrorsymmetric solution for matrix equations ($AX=B$, $XC=D$) and its optimal approximation is considered. With special expression of mirrorsymmetric matrices, a general representation of solution for the least-squares problem is obtained. In addition, the optimal approximate solution and some algorithms to obtain the optimal approximation are provided.
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@Article{NM-15-217, author = {F. Li, X. Hu and L. Zhang}, title = {Least-squares mirrorsymmetric solution for matrix equations (AX=B, XC=D)}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {3}, pages = {217--226}, abstract = { In this paper, least-squares mirrorsymmetric solution for matrix equations ($AX=B$, $XC=D$) and its optimal approximation is considered. With special expression of mirrorsymmetric matrices, a general representation of solution for the least-squares problem is obtained. In addition, the optimal approximate solution and some algorithms to obtain the optimal approximation are provided. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8029.html} }
TY - JOUR T1 - Least-squares mirrorsymmetric solution for matrix equations (AX=B, XC=D) AU - F. Li, X. Hu & L. Zhang JO - Numerical Mathematics, a Journal of Chinese Universities VL - 3 SP - 217 EP - 226 PY - 2006 DA - 2006/08 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8029.html KW - AB - In this paper, least-squares mirrorsymmetric solution for matrix equations ($AX=B$, $XC=D$) and its optimal approximation is considered. With special expression of mirrorsymmetric matrices, a general representation of solution for the least-squares problem is obtained. In addition, the optimal approximate solution and some algorithms to obtain the optimal approximation are provided.
F. Li, X. Hu & L. Zhang. (1970). Least-squares mirrorsymmetric solution for matrix equations (AX=B, XC=D). Numerical Mathematics, a Journal of Chinese Universities. 15 (3). 217-226. doi:
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