On formulae for the Moore–Penrose inverse of a columnwise partitioned matrix
| Autor: | Oskar Maria Baksalary, Götz Trenkler |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0209 industrial biotechnology
Generalized inverse Research areas Applied Mathematics Block matrix Inverse 020206 networking & telecommunications 02 engineering and technology law.invention Algebra Computational Mathematics 020901 industrial engineering & automation Projector law Linear algebra 0202 electrical engineering electronic engineering information engineering Moore–Penrose pseudoinverse Mathematics |
| Zdroj: | Applied Mathematics and Computation. 403:125913 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2020.125913 |
| Popis: | The paper revisits the considerations carried out in [J.K. Baksalary, O.M. Baksalary, Linear Algebra Appl. 421 (2007) 16–23], where particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix were derived. An impuls to reconsider these investigations originated from a number of recently published articles in which the results established by Baksalary and Baksalary were utilized in different research areas of applicable background. In the present paper several not exposed so far consequences of the results derived in the recalled paper are unveiled, with an emphasis placed on revealing their underlying applicability capabilities. A special attention is paid to the computational aspects of the Moore–Penrose inverse determination. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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