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DU Fa-peng, XUE Yi-feng. Expression of the Moore-Penrose inverse of A-XY*[J]. Journal of East China Normal University (Natural Sciences), 2010, (5): 33-37,4.
Citation:
DU Fa-peng, XUE Yi-feng. Expression of the Moore-Penrose inverse of A-XY*[J]. Journal of East China Normal University (Natural Sciences), 2010, (5): 33-37,4.
DU Fa-peng, XUE Yi-feng. Expression of the Moore-Penrose inverse of A-XY*[J]. Journal of East China Normal University (Natural Sciences), 2010, (5): 33-37,4.
Citation:
DU Fa-peng, XUE Yi-feng. Expression of the Moore-Penrose inverse of A-XY*[J]. Journal of East China Normal University (Natural Sciences), 2010, (5): 33-37,4.
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.