A-XY~*的Moore-Penrose逆的表示(英文) 被引量：2

Expression of the Moore-Penrose inverse of A-XY~*

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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. 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.

作者杜法鹏薛以锋

机构地区华东师范大学数学系徐州工程学院数理学院

出处《华东师范大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第5期33-37,48,共6页 Journal of East China Normal University(Natural Science)

基金国家自然科学基金(10771069) 上海市重点学科建设项目(B407)

关键词 HILBERT空间 MOORE-PENROSE逆幂等算子 Hilbert space Moore-Penrose inverse idempotent operator

分类号 O151.21 [理学—基础数学]

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参考文献7

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华东师范大学学报（自然科学版）

2010年第5期

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A-XY~*的Moore-Penrose逆的表示(英文) 被引量：2

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