goethals_seidel_array {HadamardR}

goethals_seidel_array

Description

goethals_seidel_array performs the construction of Hadamard matrix by Goethals-Seidel method

Usage

goethals_seidel_array(A = NA, B = NA, C = NA, D = NA)

Arguments

A

matrix

B

matrix

C

matrix

D

matrix

Details

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.

Value

goethals_seidel matrix of order 4n

References

Goethals, J. M. and Seidel, J. J. (1967). Orthogonal matrices with zero diagnol. Canad. J. Math., 19, 259-264.