Representations of Generalized Inverses and Drazin Inverse of Partitioned Matrix with Banachiewicz-Schur Forms
Joint Authors
Jin, Hongwei
Višnjić, Jelena
Liu, Xiaoji
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Representations of 1,2,3-inverses, 1,2,4-inverses, and Drazin inverse of a partitioned matrix M=ABCD related to the generalized Schur complement are studied.
First, we give the necessary and sufficient conditions under which 1,2,3-inverses, 1,2,4-inverses, and group inverse of a 2×2 block matrix can be represented in the Banachiewicz-Schur forms.
Some results from the paper of Cvetković-Ilić, 2009, are generalized.
Also, we expressed the quotient property and the first Sylvester identity in terms of the generalized Schur complement.
American Psychological Association (APA)
Liu, Xiaoji& Jin, Hongwei& Višnjić, Jelena. 2016. Representations of Generalized Inverses and Drazin Inverse of Partitioned Matrix with Banachiewicz-Schur Forms. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112829
Modern Language Association (MLA)
Liu, Xiaoji…[et al.]. Representations of Generalized Inverses and Drazin Inverse of Partitioned Matrix with Banachiewicz-Schur Forms. Mathematical Problems in Engineering No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1112829
American Medical Association (AMA)
Liu, Xiaoji& Jin, Hongwei& Višnjić, Jelena. Representations of Generalized Inverses and Drazin Inverse of Partitioned Matrix with Banachiewicz-Schur Forms. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112829