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Inverses of 2 × 2 block matrices

✍ Scribed by Tzon-Tzer Lu; Sheng-Hua Shiou

Book ID
104352276
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
539 KB
Volume
43
Category
Article
ISSN
0898-1221

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✦ Synopsis

ln this paper, the authors give explicit inverse formulae for 2 x 2 block matrices with three different partitions. Then these results are applied to obtain inverses of block triangular matrices and various structured matrices such as Hamiltonian, per-Hermitian, and centro-Hermitian matrices.

📜 SIMILAR VOLUMES

A note on the representations for the Dr
A note on the representations for the Drazin inverse of 2 × 2 block matrices
✍ Xiezhang Li; Yimin Wei 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 126 KB

In 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse of a 2 × 2 matrix M = A B C D in terms of its various blocks, where the blocks A and D are required to be square matrices. Special cases of the problems have been studied. In particular, a representation of