| Autor: |
Oskar Maria Baksalary, Götz Trenkler |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Examples and Counterexamples, Vol 6, Iss , Pp 100155- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2666-657X |
| DOI: |
10.1016/j.exco.2024.100155 |
| Popis: |
The problem of establishing an upper bound for the volume of a parallelepiped is considered by utilizing an original approach involving a skew-symmetric matrix of order four (along with its Moore–Penrose inverse). It is shown that the commonly known inequality characterizing the bound can be virtually sharpened. Similarly, a sharpening is established with respect to the Cauchy–Schwarz inequality. General properties of the Moore–Penrose inverse of a skew-symmetric matrix are discussed as well. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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