Orthogonal Matrices with Zero Diagonal
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 1001-1010
- https://doi.org/10.4153/cjm-1967-091-8
Abstract
The central problem in the present paper is the construction of symmetric and of skew-symmetric ( = skew) matricesCof orderv,with diagonal elements 0 and other elements + 1 or — 1, satisfying The following necessary conditions are known:v≡ 2 (mod 4) and aandbintegers, for symmetric matricesC(Belevitch (1, 2), Raghavarao (14)), andv =2 orv≡ 0 (mod 4) for skew matricesC.Keywords
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