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)

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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.