𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Product of diagonal elements of matrices

✍ Scribed by Natália Bebiano; Chi-Kwong Li; João da Providência


Book ID
107826611
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
931 KB
Volume
178
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Singular values, diagonal elements, and
✍ Hector F. Miranda 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 75 KB

For complex matrices A and B there are inequalities related to the diagonal elements of AB and the singular values of A and B. We study the conditions on the matrices for which those inequalities become equalities. In all cases, the conditions are both necessary and sufficient.