Title :
The rank-constrained Bisymmetric solution of the matrix equation AX = B and the optimal approximation
Author :
Xiao, Qingfeng ; He, Dingxiu
Author_Institution :
Dept. of the Basic, Dongguan Coll. of Vocational Technol., Dongguan, China
Abstract :
By applying the matrix rank method, the set of the Bisymmetric matrix solution with prescribed ranks to the matrix equation AX = B is presented. The expression of the optimal approximation solution to the set of the minimal rank solution Sm̃ is provided.
Keywords :
approximation theory; matrix algebra; matrix rank method; minimal rank solution; optimal approximation solution; rank-constrained bisymmetric matrix solution; Approximation methods; Bisymmetric matrix; Fixed rank solutions; Matrix equation; Maximal rank; Minimal rank; Optimal approximate solution;
Conference_Titel :
Progress in Informatics and Computing (PIC), 2010 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-6788-4
DOI :
10.1109/PIC.2010.5687450
