def norm(x, order=None):
'''Matrix or vector norm
x -- input array
ord -- None = Frobenius | 2-norm
'fro' = Frobenius | n/a
inf = max(sum(abs(x),axis=1)) | max(abs(x))
-inf = min(sum(abs(x),axis=1)) | min(abs(x))
0 = n/a | sum(x != 0)
1 = max(sum(abs(x),axis=0)) | as below
-1 = min(sum(abs(x),axis=0)) | as below
2 = 2-norm (largest s.v.) | as below
-2 = smallest singular value | as below
other = n/a | sum(abs(x)**ord)**(1./ord)
Return norm
'''
if order is None:
return _linalg.norm(x)
if order == 'fro':
order = _normorder.FROBENIUS # @UndefinedVariable
elif _isinf(order):
if order > 0:
order = _normorder.POS_INFINITY # @UndefinedVariable
else:
order = _normorder.NEG_INFINITY # @UndefinedVariable
try:
return _linalg.norm(x, order)
except Exception, e:
raise LinAlgError(e)
def norm(x, order=None):
'''Matrix or vector norm
x -- input array
ord -- None = Frobenius | 2-norm
'fro' = Frobenius | n/a
inf = max(sum(abs(x),axis=1)) | max(abs(x))
-inf = min(sum(abs(x),axis=1)) | min(abs(x))
0 = n/a | sum(x != 0)
1 = max(sum(abs(x),axis=0)) | as below
-1 = min(sum(abs(x),axis=0)) | as below
2 = 2-norm (largest s.v.) | as below
-2 = smallest singular value | as below
other = n/a | sum(abs(x)**ord)**(1./ord)
Return norm
'''
if order is None:
return _linalg.norm(x)
if order == 'fro':
order = _normorder.FROBENIUS # @UndefinedVariable
elif _isinf(order):
if order > 0:
order = _normorder.POS_INFINITY # @UndefinedVariable
else:
order = _normorder.NEG_INFINITY # @UndefinedVariable
try:
return _linalg.norm(x, order)
except Exception, e:
raise LinAlgError(e)
