Several upper bound analysis for the maximum determinant of a matrix formed by 1 to n 2
Year: 2025
Type: conference-paper
Abstract: This paper discusses the upper bound analysis for the determinant of a matrix constructed using the numbers 1 to n 2. We propose four different methods to approximate the upper bound, including using the AM-GM inequality, Hadamard’s inequality, maximizing diagonal elements, and the Perron-Frobenius theorem. Our results provide important insights into the structure and properties of matrices that maximize their determinants.
Author: Haosen Li
Institution: Ocean University of China
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408039537