Open AccessA norm inequality for three matrices
Author(s) -
Leighton Laszlo
Publication year - 2022
Publication title -
the electronic journal of linear algebra
Language(s) - English
Resource type - Journals
eISSN - 1537-9582
pISSN - 1081-3810
DOI - 10.13001/ela.2022.6563
Subject(s) - mathematics , inequality , norm (philosophy) , matrix norm , pure mathematics , upper and lower bounds , mathematical analysis , eigenvalues and eigenvectors , epistemology , physics , quantum mechanics , philosophy
We prove a Frobenius norm inequality for three matrices, analogous to the well-known Bottcher--Wenzel inequality. The situation is also similar: standard inequalities would yield an upper bound, which however can be reduced by means of further, detailed investigations.