A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is
We study the constrained system of linear equations for A ∈ C n×n and b ∈ C n , k = Ind(A). When the system is consistent, it is well known that it has a unique A D b. If the system is inconsistent, then we seek for the least squares solution of the problem and consider where · 2 is the 2-norm. For the inconsistent system with a matrix A of index one, it was proved recently that the solution is A ♯ b using the core inverse A ♯ of A. For matrices of an arbitrary index and an arbitrary b, we showdoi:10.4208/cmr.2020-0028 fatcat:wuo6lwql35cd3c5xd7l6zdk7wy