kronecker_matrix: kronecker_matrix
In HadamardR: Hadamard Matrix Generation

Description Usage Arguments Details Value References Examples

kronecker_matrix

1	kronecker_matrix(n)

`n`	integer (order of the matrix)

This function construct Hadamard matrix by multiple of 2 Hadamard matrix. It Returns the Hadamard Matrix, if it is not possible NULL is returned.

Hadamard matrix of order "n"

Sylvester, J.J. (1967). Thoughts on orthogonal matrices, simultaneous sign-succession and Tessellated pavements in two or more colours, with applications to Newton's rule, ornamental Tie-work, and the theory of numbers. Phil. Mag.,34, 461-475.

Sylvester, J.J. (1968). Problem 2511. Math. Questions and solutions, 10, 74.

Hedayat, A. and Wallis, W.D. (1978). Hadamard Matrices and Their Application.Ann. Stat., 6, 1184-1238.

kronecker_matrix(8)
#      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
#[1,]    1    1    1    1    1    1    1    1
#[2,]    1   -1    1   -1    1   -1    1   -1
#[3,]    1    1   -1   -1    1    1   -1   -1
#[4,]    1   -1   -1    1    1   -1   -1    1
#[5,]    1    1    1    1   -1   -1   -1   -1
#[6,]    1   -1    1   -1   -1    1   -1    1
#[7,]    1    1   -1   -1   -1   -1    1    1
#[8,]    1   -1   -1    1   -1    1    1   -1
kronecker_matrix(12)
#NULL