Schur complements and Banachiewicz-Schur forms

Article Sidebar

PDF
Published: Jan 1, 2005
DOI: https://doi.org/10.13001/1081-3810.1171
Keywords:
Banachiewicz-Schur form Generalized inverse Generalized Schur complement Idempotent matrix Matrix rank method Maximal rank Minimal rank Moore-Penrose inverse Partitioned matrix

Main Article Content

Yongge Tian
Yoshio Takane

Abstract

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.

Article Details

Issue
Vol. 13 (2005)
Section
Article