Research to the solution of matrix equation AX = B, XD = E
Guoliang Chen · Journal of Lanzhou University · 2006
In this paper all kinds of solutions for the matrix equation AX = B, XD = E are studied in detail. If the matrix equation AX = B, XD = E is consistent, we give the expression of its minimum-normal solution. If the matrix equation AX = B, XD = E is not consistent, we study its least-squares solution and express its least-squares solution in two cases. Finally we give the minimum-normal and least-squares solution to the matrix equation AX = B, XD = E in inconsistency.