ON THE EXISTENCE OF FLAT ORTHOGONAL MATRICES

Philippe Jaming (1) , M. Matolcsi (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 Renyi Institute

In this note we investigate the existence of flat or-thogonal matrices, i.e. real orthogonal matrices with all entries having absolute value close to 1 √ n . Entries of ± 1 √ n correspond to Hadamard matrices, so the question of existence of flat orthogonal matrices can be viewed as a relaxation of the Hadamard problem.

Domaines: Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]; Théorie de l'information [cs.IT]; Théorie de l'information et codage [math.IT]; Variables complexes [math.CV]

Philippe Jaming, M. Matolcsi. ON THE EXISTENCE OF FLAT ORTHOGONAL MATRICES. Acta Mathematica Hungarica, 2015, 147, pp.179-188. ⟨hal-01103592v1⟩