Tata Institute of Fundamental Research
Maximal determinant problem for $l_p$ normed spaces
STCS Seminar
Speaker:
Dr. Arun Maiti (Thapar Institute of Engineering & Technology, Punjab)
Organiser:
Piyush Srivastava
Date:
Wednesday, 27 Dec 2023, 16:00 to 17:30
Venue:
A-201 (STCS Seminar Room)
(Scan to add to calendar)
Abstract:
Hadamard's maximum determinant problem asks for maximas of the determinant on matrices with entries either -1 or 1.
In this talk, I will introduce a generalisation of this problem for matrices with rows having unit $l_p$ norm. The solution to this problem for small orders will be presented. I will further relate it to the problem of finding Auerbach bases of $l_p$ spaces. Some new results and conjectures on this problem will be discussed.
| Speaker: | Dr. Arun Maiti (Thapar Institute of Engineering & Technology, Punjab) |
| Organiser: | Piyush Srivastava |
| Date: | Wednesday, 27 Dec 2023, 16:00 to 17:30 |
| Venue: | A-201 (STCS Seminar Room) |
(Scan to add to calendar)
Abstract:
Hadamard's maximum determinant problem asks for maximas of the determinant on matrices with entries either -1 or 1.
In this talk, I will introduce a generalisation of this problem for matrices with rows having unit $l_p$ norm. The solution to this problem for small orders will be presented. I will further relate it to the problem of finding Auerbach bases of $l_p$ spaces. Some new results and conjectures on this problem will be discussed.