The expression for the group inverse of the anti-triangular block matrix | Zendy

Fapeng Du | Zendy; Yifeng Xue | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The expression for the group inverse of the anti-triangular block matrix

Author(s) -

Fapeng Du,

Yifeng Xue

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1406103d

Subject(s) - mathematics , inverse , block (permutation group theory) , expression (computer science) , group (periodic table) , triangular matrix , matrix (chemical analysis) , block matrix , combinatorics , pure mathematics , algebra over a field , invertible matrix , geometry , computer science , chemistry , eigenvalues and eigenvectors , physics , organic chemistry , chromatography , quantum mechanics , programming language

In this paper, we present the explicit expression for the group inverse of the sum of two matrices. As an application, the explicit expression for the group inverse of the anti-triangular block matrix $\begin{pmatrix}A&B\\C&0\end{pmatrix}$ and $\begin{pmatrix}0&B\\C&D\end{pmatrix}$ are obtained without any conditions on sub-blocks

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research