Almost Hadamard matrices: The case of arbitrary exponents

作者:Banica Teodor; Nechita Ion*
来源:Discrete Applied Mathematics, 2013, 161(16-17): 2367-2379.
DOI:10.1016/j.dam.2013.05.012

摘要

A square matrix H is an element of M-N(R) is called "almost Hadamard" if U = H/root N is orthogonal, and locally maximizes the 1-norm on O(N). We review our previous work on the subject, notably with the formulation of a new question, regarding the circulant and symmetric case. We discuss then an extension of the almost Hadamard matrix formalism, by making use of the p-norm on O(N), with p is an element of [1, infinity] {2}, with a number of theoretical results on the subject, and the formulation of some open problems.

  • 出版日期2013-11