list building - consecutive

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sage: [np.empty(A) for j in range(N)]

It seems that the question is about generating new global variables in code. The correct way to do that is to add them to the globals() dictionary (has nothing to do with numpy)

sage: import numpy
sage: for i in range(1, 5):
....:     variable_name = 'L'+str(i)
....:     globals()[variable_name] = numpy.empty(3)
sage: L1
array([  1.26596386e-312,   1.26596386e-312,   6.90349880e-310])

Actually, the answer of @volker-braun was quite satisfactory, since it creates a list that you can call:

# data you should add in your question to ease reproduction:
sage: import numpy as np
sage: N = 4
sage: A = 3

sage: L = [np.empty(A) for j in range(N)]
sage: L[0]
array([  6.89920558e-310,   6.89920558e-310,   0.00000000e+000])
sage: L[3]
array([  6.89920558e-310,   6.89920558e-310,   0.00000000e+000])

But you should notice that elements of a list L are numbered from 0 to len(L)-1.

Perhaps are you looking for a dictionary:

sage: L = dict()
sage: for j in srange(1, N+1):
sage:     L[j]=np.empty(A)
sage: L
{1: array([  6.89920558e-310,   5.92371271e-316,   5.43231038e-310]),
 2: array([  6.89920558e-310,   5.91607169e-316,   5.40520702e-316]),
 3: array([  6.89920558e-310,   5.91582347e-316,   5.43231038e-310]),
 4: array([  6.89920558e-310,   5.91594758e-316,   1.09178468e-316])}
sage: L[1]
array([  6.89920558e-310,   5.92371271e-316,   5.43231038e-310])
sage: L[4]
array([  6.89920558e-310,   5.91594758e-316,   1.09178468e-316])

Hello mresimulator,

I do not know, why you want to encode the index j in the name,
but you could use 'exec()' for this:

import numpy as np
N = 4
A = 3
for j in srange(N):
   exec('L'+str(j)+"=np.empty(A)")

Then L1 to L4 gets defined:

>>> L1
array([  9.79748720e-251,   2.90930926e-252,   2.34745402e-251])