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Block idempotent matrices and generalized Schur complement
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DOI：10.1016/j.amc.2006.08.175.png)
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In this paper, we study the idempotency of the generalized Schur complement on generalized inverse A A dagger s, together with other familiar generalized inverses such as A(M,N)(dagger) A(dagger) A(d) and A(g), defined from a partitioned idempotent matrix, which is a complementarity of (Jerzy K. Baksalary, Oskar Maria Baksalary, Tomasz Szulc, Properties of Schur complements in partitioned idempotent matrices, Lin. Alg. Appl. 379 (2004) 303-318; D.V. Ouellette, Schur complememnts and statistics, Lin. Alg. Appl. 36 (1981) 187-295]. (C) 2006 Elsevier Inc. All rights reserved.
Keyword:
Schur complement
generalized Schur complement
generalized inverse A(T,S)((2))
idempotent matrix
idempotency
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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