Zhang F (2005) The schur complement and its applications. Tian Y (2021b) Equivalence analysis of different reverse order laws for generalized inverses of a matrix product. Tian Y (2021a) Miscellaneous reverse order laws and their equivalent facts for generalized inverses of a triple matrix product. As I said, this problem emerged from working with R, so that’s where I started. Tian Y (2020b) Miscellaneous reverse order laws for generalized inverses of matrix products with applications. Tian Y (2020a) A family of 512 reverse order laws for generalized inverses of a matrix product: a review. Tian Y (2019) On relationships between two linear subspaces and two orthogonal projectors. The coverage includes providing some general principles of dealing with this kind of problems, establishing a group of necessary and sufficient conditions for the equality \(\mathrm\) and other mixed-type reverse-order laws. This article considers a fundamental problem in theory of generalized inverses of matrices on characterizing range equalities composed of matrices and their generalized inverses. Generalized inverses of matrices are extensions of ordinary inverses of nonsingular matrices to singular matrices, and people can construct various matrix expressions and equalities that involve matrices and their generalized inverses.
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