Through the matrix rank method, this paper gives necessary and sufficient conditions for a partitioned matrix to have generalized inverses with Banachiewicz-Schur forms. In addition, this paper investigates the idempotency of generalized Schur complements in a partitioned idempotent matrix.
CITATION STYLE
Tian, Y., & Takane, Y. (2005). Schur complements and Banachiewicz-Schur forms. The Electronic Journal of Linear Algebra, 13. https://doi.org/10.13001/1081-3810.1171
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