How to set the precision of "numpy" methods?
e.g., for calculating the singular values of a matrix using numpy methods
sage: R = RealField(100)
sage: R
Real Field with 100 bits of precision
sage: A = matrix(R ,2,2, [1.746, 0.940, 1.246, 1.898])
sage: A
[ 1.7460000000000000000000000000 0.94000000000000000000000000000]
[ 1.2460000000000000000000000000 1.8980000000000000000000000000]
sage: A.parent()
Full MatrixSpace of 2 by 2 dense matrices over Real Field
with 100 bits of precision
sage: A = np.array(A) # the precision (100 bits) does not preserve in "numpy"
sage: U,sig,V = numpy.linalg.svd(A)
sage: sig
array([ 1.08490731e+06, 1.97535694e+00])
# the precision (100 bits) does not preserve in "numpy", hey only 8 digits here
Thanks in Advance!