On an inequality related to the volume of a parallelepiped
Year: 2024
Type: article
Abstract: 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.
Source: Examples and Counterexamples
Authors: Oskar Maria Baksalary, Götz Trenkler
Institutions: Adam Mickiewicz University in Poznań, TU Dortmund University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $330
OpenAlex ID: W4401636211