On the existence of flat orthogonal matrices

Ph Jaming, M. Matolcsi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)179-188
Number of pages10
JournalActa Mathematica Hungarica
Volume147
Issue number1
DOIs
Publication statusPublished - Oct 31 2015

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Orthogonal matrix
Hadamard Matrix
Absolute value

Keywords

  • circulant matrices
  • orthogonal matrices

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the existence of flat orthogonal matrices. / Jaming, Ph; Matolcsi, M.

In: Acta Mathematica Hungarica, Vol. 147, No. 1, 31.10.2015, p. 179-188.

Research output: Contribution to journalArticle

Jaming, Ph ; Matolcsi, M. / On the existence of flat orthogonal matrices. In: Acta Mathematica Hungarica. 2015 ; Vol. 147, No. 1. pp. 179-188.
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