Invariance under outer inverses
| Autor: | Pedro Patrício, Robert E. Hartwig |
|---|---|
| Přispěvatelé: | Universidade do Minho |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pierce decomposition
Science & Technology Applied Mathematics General Mathematics 010102 general mathematics Invariance 010103 numerical & computational mathematics Invariant (physics) 01 natural sciences law.invention Combinatorics Regularity Invertible matrix law Discrete Mathematics and Combinatorics 0101 mathematics Outer inverses Mathematics |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| Popis: | We shall use the minus partial order combined with Pierce’s decomposition to derive the class of outer inverses for idempotents, units and group invertible elements. Subsequently we show, for matrices over a field F, that the triplet BA^ C is invariant under all choices of outer inverses of A if and only if B= 0 or C= 0. FCT - Fundação para a Ciência e a Tecnologia (UID-MAT-00013/2013) info:eu-repo/semantics/publishedVersion |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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