| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599145 | Linear Algebra and its Applications | 2015 | 16 Pages |
Abstract
We present a formula for the Moore–Penrose inverse of a matrix of the form M=XNYM=XNY, where X and Y are nonsingular. Based on this result, we develop explicit expressions for the Moore–Penrose inverse of a 2×22×2 complex block matrix M. We recover the cases when a Schur complement in M is either equal to zero or nonsingular. Some applications to banded matrices and bordered matrices are indicated.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
N. Castro-González, M.F. Martínez-Serrano, J. Robles,