Almost Hadamard matrices: The case of arbitrary exponents

Authors:
Teodor Banica;Ion Nechita
Affiliations:
-;-
Venue:
Discrete Applied Mathematics
Year:
2013

Citing 6
Cited 0

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Abstract

A square matrix H@?M"N(R) is called ''almost Hadamard'' if U=H/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@?[1,~]-{2}, with a number of theoretical results on the subject, and the formulation of some open problems.