Some results about the perturbation analysis for the operator equation Tx=y
Wang Gong · Journal of Naval University of Engineering · 2001
This paper consists of two parts. In part 1,the error estimates for operator equation Tx=y where T -1 exists are given in Banach spaces, which generalizes the corresponding results in the matrix perturbation analysis. In part 2,by use of the relation between the M-P generalized inverse of T and the reduced minimum module, some estimates are given. The result provided here is useful to perturbation analysis for the minimum norm least squares solution to the operator equation Tx=y in Hilbert spaces.