在Hilbert空间上有界线性算子的条件下,进一步推广了Shermen.Morrison.Woodbury(SMW)公式的Moor—Penrose逆的表示.这个公式可以用来计算A+的某些扰动和某些算子矩阵的Moore-Penrose逆.
By using theory of bounded linear operators on Hilbert spaces, the Shermen- Morrison-Woodbury (SMW) formula's Moore-Penrose inverse was presented. The formula obtained can be used to compute certain perturbation of A+ and the Moore-Penrose inverses of some operator matrices.