JOURNAL ARTICLE
Orthogonal Matrices with Zero Diagonal
Year: 1967 Journal: Canadian Journal of Mathematics Vol: 19 Pages: 1001-1010 Publisher: Cambridge University Press
Abstract
The central problem in the present paper is the construction of symmetric and of skew-symmetric ( = skew) matrices C of order v, with diagonal elements 0 and other elements + 1 or — 1, satisfying The following necessary conditions are known: v ≡ 2 (mod 4) and a and b integers, for symmetric matrices C (Belevitch (1, 2), Raghavarao (14)), and v = 2 or v ≡ 0 (mod 4) for skew matrices C.
Keywords:
Mathematics Skew-symmetric matrix Diagonal Skew Zero (linguistics) Combinatorics Order (exchange) Diagonal matrix Zero order Pure mathematics Symmetric matrix Square matrix Geometry First order Applied mathematics Physics Eigenvalues and eigenvectors
Metrics
213
Cited By
4.10
FWCI (Field Weighted Citation Impact)
22
Refs
0.94
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Is in top 1%
Is in top 10%
Citation History
Topics
graph theory and CDMA systems
Physical Sciences → Engineering → Electrical and Electronic Engineering
Matrix Theory and Algorithms
Physical Sciences → Computer Science → Computational Theory and Mathematics
Graph theory and applications
Physical Sciences → Mathematics → Geometry and Topology
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