Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (3): 263-265.doi: doi:10.3969/j.issn.1007-2861.2011.03.009
• Mathematics.Physics and Chemistry • Previous Articles Next Articles
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Abstract: The matrix equation 〖WTHX〗AX〖WTBX〗=〖WTHX〗B〖WTBZ〗 is considered, and a necessary and sufficient condition for the existence of centrosymmetric tridiagonal solutions is given. A new result of the following problem is obtained which related to the leastsquares solutions of 〖WTHX〗AX〖WTBX〗=〖WTHX〗B〖WTBZ〗 for 〖WTHX〗X〖WTBZ〗: given 〖WTHX〗A, B〖WTBZ〗∈〖WTHX〗R〖WTBX〗m×n,〖WTBZ〗 find a centrosymmetric tridiagonal matrix 〖WTHX〗X〖WTBZ〗∈〖WTHX〗R〖WTBX〗m×n〖WTBZ〗 such that ‖〖WTHX〗AX〖WTBZ〗-〖WTHX〗B〖WTBZ〗‖ is minimal.
Key words: matrix equation, centrosymmetric tridiagonal matrix, leastsquares solution
CLC Number:
O
241.6
ZHANG Xiang, WANG Qing-Wen. Centrosymmetric Tridiagonal Least Square Solution to Matrix Equation[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(3): 263-265.
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URL: https://www.journal.shu.edu.cn/EN/doi:10.3969/j.issn.1007-2861.2011.03.009
https://www.journal.shu.edu.cn/EN/Y2011/V17/I3/263
