Hyperorthogonal family of vectors and the associated Gram matrix
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Hyperorthogonal family of vectors and the associated Gram matrix. / Fuglede, Bent.
I: L’Enseignement Mathématique, Bind 60, Nr. 1/2, 2014, s. 31-41.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Hyperorthogonal family of vectors and the associated Gram matrix
AU - Fuglede, Bent
PY - 2014
Y1 - 2014
N2 - A family of non-zero vectors in Euclidean n -space is termed hyperorthogonal if the angle between any two distinct vectors of the family is at least π/2 . Any hyperorthogonal family is finite and contains at most 2n vectors. It decomposes uniquely into the union of mutually orthogonal irreducible subfamilies. An equivalent formulation in terms of the associated Gram matrix is given.
AB - A family of non-zero vectors in Euclidean n -space is termed hyperorthogonal if the angle between any two distinct vectors of the family is at least π/2 . Any hyperorthogonal family is finite and contains at most 2n vectors. It decomposes uniquely into the union of mutually orthogonal irreducible subfamilies. An equivalent formulation in terms of the associated Gram matrix is given.
U2 - 10.4171/LEM/60-1/2-3
DO - 10.4171/LEM/60-1/2-3
M3 - Journal article
VL - 60
SP - 31
EP - 41
JO - Enseignement Mathematique
JF - Enseignement Mathematique
SN - 0013-8584
IS - 1/2
ER -
ID: 137746168