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import numpy | |
from numpy.linalg import solve | |
lambdas = [0.01, 0.05, 0.09] | |
mu = [1, 0.7, 1.5 ] | |
Ns = [3, 3, 5 ] | |
N1s = [2, 2, 3 ] | |
N = Ns[1] | |
N1 = N1s[1] | |
l1 = lambdas[2] | |
lams = [i * l1 for i in range(N, N-N1-1, -1)] | |
mus = [(1+i)*mu[0] for i in range(N)] | |
print(mus) | |
lams = {k:i for k,i in enumerate(lams)} | |
mus = {k:i for k,i in enumerate(mus)} | |
def coeff(i,j, lams, mus): | |
if i == j: | |
return -(lams.get(j, 0) + mus.get(j-1,0)) | |
if i == j+1: | |
return mus.get(j,0) | |
if i == j-1: | |
return lams.get(i,0) | |
else: return 0 | |
mat = numpy.mat([ | |
[coeff(i,j, lams, mus) for i in range(N1+2)] | |
for j in range(N1+2) | |
]) | |
print(mat) | |
eigenvals, eigenvects = numpy.linalg.eig(mat) | |
idx = eigenvals.argsort()[::-1][0] | |
solnn = eigenvects[:,idx] | |
sol = solnn / numpy.sum(solnn) | |
print(sol) |
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