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摘要: 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.
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关键词:
- Hilbert空间 /
- Moore-Penrose逆 /
- 幂等算子
Abstract: 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.
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