goethals_seidel_array {HadamardR} | R Documentation |
goethals_seidel_array performs the construction of Hadamard matrix by Goethals-Seidel method
goethals_seidel_array(A = NA, B = NA, C = NA, D = NA)
A |
matrix |
B |
matrix |
C |
matrix |
D |
matrix |
For this function requrires the four matrices, all the four matrix are Circulant matrices same order.R is an antidiagonal matrix of the same order With which it should satisfy the AA'+ BB'+ CC'+ DD'=4nI, where I is the identity matrix of order n. This function returns matrix of order 4n where n is the order of the given matrices.
goethals_seidel matrix of order 4n
Goethals, J. M. and Seidel, J. J. (1967). Orthogonal matrices with zero diagnol. Canad. J. Math., 19, 259-264.