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Group inverses for a class of 2×2 block matrices over rings

✍ Scribed by Sheng, Yuqiu; Ge, Yanling; Zhang, Hanyu; Cao, Chongguang


Book ID
122780094
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
236 KB
Volume
219
Category
Article
ISSN
0096-3003

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Inverses of 2 × 2 block matrices
✍ Tzon-Tzer Lu; Sheng-Hua Shiou 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 539 KB

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.