O código exemplo mostra todas as formas da matriz de givens
import givens
from itertools import combinations
from numpy import pi
# Tamanho
SIZE = 5
# Angulo
THETA = pi/6
# Exemplo de código para combinações possíveis de uma matriz de givens
for i,j in combinations(xrange(SIZE),2):
print givens.givens(i,j,THETA,SIZE)
print [[ 0.8660254 0.5 0. 0. 0. ]
[-0.5 0.8660254 0. 0. 0. ]
[ 0. 0. 1. 0. 0. ]
[ 0. 0. 0. 1. 0. ]
[ 0. 0. 0. 0. 1. ]]
[[ 0.8660254 0. 0.5 0. 0. ]
[ 0. 1. 0. 0. 0. ]
[-0.5 0. 0.8660254 0. 0. ]
[ 0. 0. 0. 1. 0. ]
[ 0. 0. 0. 0. 1. ]]
[[ 0.8660254 0. 0. 0.5 0. ]
[ 0. 1. 0. 0. 0. ]
[ 0. 0. 1. 0. 0. ]
[-0.5 0. 0. 0.8660254 0. ]
[ 0. 0. 0. 0. 1. ]]
[[ 0.8660254 0. 0. 0. 0.5 ]
[ 0. 1. 0. 0. 0. ]
[ 0. 0. 1. 0. 0. ]
[ 0. 0. 0. 1. 0. ]
[-0.5 0. 0. 0. 0.8660254]]
[[ 1. 0. 0. 0. 0. ]
[ 0. 0.8660254 0.5 0. 0. ]
[ 0. -0.5 0.8660254 0. 0. ]
[ 0. 0. 0. 1. 0. ]
[ 0. 0. 0. 0. 1. ]]
[[ 1. 0. 0. 0. 0. ]
[ 0. 0.8660254 0. 0.5 0. ]
[ 0. 0. 1. 0. 0. ]
[ 0. -0.5 0. 0.8660254 0. ]
[ 0. 0. 0. 0. 1. ]]
[[ 1. 0. 0. 0. 0. ]
[ 0. 0.8660254 0. 0. 0.5 ]
[ 0. 0. 1. 0. 0. ]
[ 0. 0. 0. 1. 0. ]
[ 0. -0.5 0. 0. 0.8660254]]
[[ 1. 0. 0. 0. 0. ]
[ 0. 1. 0. 0. 0. ]
[ 0. 0. 0.8660254 0.5 0. ]
[ 0. 0. -0.5 0.8660254 0. ]
[ 0. 0. 0. 0. 1. ]]
[[ 1. 0. 0. 0. 0. ]
[ 0. 1. 0. 0. 0. ]
[ 0. 0. 0.8660254 0. 0.5 ]
[ 0. 0. 0. 1. 0. ]
[ 0. 0. -0.5 0. 0.8660254]]
[[ 1. 0. 0. 0. 0. ]
[ 0. 1. 0. 0. 0. ]
[ 0. 0. 1. 0. 0. ]
[ 0. 0. 0. 0.8660254 0.5 ]
[ 0. 0. 0. -0.5 0.8660254]]