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摘要
In 1999, Wei [M. Wei, Reverse order laws for generalized inverse of multiple matrix products, Linear Algebra Appl., 293 (1999), pp. 273-288] studied reverse order laws for generalized inverses of multiple matrix products and derived some necessary and sufficient conditions for
A(n){1}A(n-1){1}... A(1){1} subset of (A1 A2...A(n)) {1}
by using P-SVD (Product Singular Value Decomposition). In this paper, using the maximal rank of the generalized Schur complement, a new simpler equivalent condition is obtained in terms of only the ranks of the known matrices for this inclusion.
- 出版日期2008-1
- 单位兰州大学
