J4 ›› 2011, Vol. 46 ›› Issue (4): 78-81.
• Articles •
ZHANG Feng-xia1, LI Ying1,2, ZHAO Jian-li1
The reverse order laws for ｛1,2,3｝-inverse and ｛1,2,4｝-inverse of product of two matrices have been studied by applying the product singular value decomposition P-SVD and the characters of generalized inverse. The necessary and sufficient conditions of (AB)｛1,2,3｝⊆B｛1,2,3｝A｛1,2,3｝ and (AB)｛1,2,4｝⊆B｛1,2,4｝A｛1,2,4｝are obtained. Then equivalent conditions of (AB)｛1,2,3｝=B｛1,2,3｝A｛1,2,3｝ and (AB)｛1,2,4｝=B｛1,2,4｝A｛1,2,4｝ are obtained.
reverse order law; Generalized inverse; P-SVD
ZHANG Feng-xia1, LI Ying1,2, ZHAO Jian-li1. The reverse order law for ｛1,2,3｝-inverse and ｛1,2,4｝-inverse of products of two matrices[J].J4, 2011, 46(4): 78-81.
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