Geodesic
Schur complements and Banachiewicz-Schur forms
The electronic journal of linear algebra, Tome 13 (2005), pp. 405-418.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 15A03, 15A09
Keywords: banachiewicz-Schur form, generalized inverse, generalized Schur complement, idempotent matrix, matrix rank method, maximal rank, minimal rank, Moore-Penrose inverse, partitioned matrix 
@article{ELA_2005__13__a0,
     author = {Tian, Yongge and Takane, Yoshio},
     title = {Schur complements and {Banachiewicz-Schur} forms},
     journal = {The electronic journal of linear algebra},
     pages = {405--418},
     publisher = {mathdoc},
     volume = {13},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2005__13__a0/}
}
TY  - JOUR
AU  - Tian, Yongge
AU  - Takane, Yoshio
TI  - Schur complements and Banachiewicz-Schur forms
JO  - The electronic journal of linear algebra
PY  - 2005
SP  - 405
EP  - 418
VL  - 13
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ELA_2005__13__a0/
LA  - en
ID  - ELA_2005__13__a0
ER  - 
%0 Journal Article
%A Tian, Yongge
%A Takane, Yoshio
%T Schur complements and Banachiewicz-Schur forms
%J The electronic journal of linear algebra
%D 2005
%P 405-418
%V 13
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ELA_2005__13__a0/
%G en
%F ELA_2005__13__a0
Tian, Yongge; Takane, Yoshio. Schur complements and Banachiewicz-Schur forms. The electronic journal of linear algebra, Tome 13 (2005), pp. 405-418. http://geodesic.mathdoc.fr/item/ELA_2005__13__a0/