Title :
The Solutions of Matrix Equations (AX = B, XC = D) with a Submatrix Constraint
Author :
Li, Fan-Liang ; Hu, Xi-Yan ; Zhang, Lei
Author_Institution :
Sch. of Sci. Central South, Univ. of Forestry & Technol., Changsha
Abstract :
In this paper, the solvability conditions and the general solution of matrix equations (AX=B,XC=D) with a submatrix constraint are obtained by using the SVD(singular value decomposition) of matrix. In addition, the expression of the optimal approximation solution to a given matrix is derived.
Keywords :
approximation theory; computability; singular value decomposition; matrix equation solution; optimal approximation; singular value decomposition; solvability condition; submatrix constraint; Econometrics; Educational institutions; Equations; Forestry; Mathematics; Matrix decomposition; Matrix equations; Optimal approximation; Principal submatrix;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.535
