Python 这可能是Anaconda 2.5.0环境中scipy.sparse.linalg.eigs函数中的错误吗？
我正在Linux Anaconda 2.5.0环境下的Jupyter笔记本中运行scipy.sparse.linalg.eigs函数，但每次运行时特征值似乎都会发生变化。当我在MacOSX环境下运行完全相同的笔记本时，无论我运行笔记本多少次，它都只为特征值提供了一个解决方案，应该是这样。这可能是Linux系统上scipy包的一个bug吗？我正在运行的笔记本如下所示：Python 这可能是Anaconda 2.5.0环境中scipy.sparse.linalg.eigs函数中的错误吗？,python,linux,scipy,sparse-matrix,eigenvalue,Python,Linux,Scipy,Sparse Matrix,Eigenvalue,我正在Linux Anaconda 2.5.0环境下的Jupyter笔记本中运行scipy.sparse.linalg.eigs函数，但每次运行时特征值似乎都会发生变化。当我在MacOSX环境下运行完全相同的笔记本时，无论我运行笔记本多少次，它都只为特征值提供了一个解决方案，应该是这样。这可能是Linux系统上scipy包的一个bug吗？我正在运行的笔记本如下所示： import numpy as np from scipy import fftpack as fft from scipy.sp
import numpy as np
from scipy import fftpack as fft
from scipy.sparse import lil_matrix, csc_matrix
from scipy.sparse.linalg import eigs, inv
nz = 100
zin = np.arange(nz+1, dtype=np.float64)/nz
N2 = np.full(nz, 1.)
f0 = 1.
beta = 0.
Nx = int(1e2)
Ny = int(1e2)
dx = 1e-1
dy = 1e-1
vbar = np.zeros(nz+1)
ubar = zin
etax = np.zeros(2)
etay = np.zeros(2)
k = fft.fftfreq(Nx, dx)[:Nx/2]
l = fft.fftfreq(Ny, dy)[:Ny/2]
zc = np.hstack(0.5*(zin[1:] + zin[:-1]))
dzc = np.hstack(np.diff(zc))
depth = 1.
dztop = zc[0]
dzbot = depth - zc[-1]
zf = zin
dzf = np.diff(zf)
j = 0
for i in range(len(k)):
L = lil_matrix((nz+1, nz+1), dtype=np.float64)
G = L.copy()
################
# n = 0 (surface)
################
R = k[i] * .5*(ubar[0]+ubar[1]) + l[j] * .5*(vbar[0]+vbar[1])
D = dzf[0]**-1
S = .5 * ( k[i] * ( (ubar[0]-ubar[1])*D - N2[0]/f0 * etay[0] )
+ l[j] * ( (vbar[0]-vbar[1])*D + N2[0]/f0 * etax[0] ) )
L[0, 0] = R * D - S
L[0, 1] = R * (-D) - S
G[0, 0] = D
G[0, 1] = - D
################
# n = nz (bottom)
################
R = k[i] * .5*(ubar[nz-1]+ubar[nz]) + l[j] * .5*(vbar[nz-1]+vbar[nz])
D = dzf[nz-1]**-1
S = .5 * ( k[i] * ( (ubar[nz-1]-ubar[nz])*D - N2[nz-1]/f0 * etay[1] )
+ l[j] * ( (vbar[nz-1]-vbar[nz])*D + N2[nz-1]/f0 * etax[1] ) )
L[nz, nz-1] = R * D - S
L[nz, nz] = R * (-D) - S
G[nz, nz-1] = D
G[nz, nz] = - D
################
# 0 < n < nz (interior)
################
for n in range(1,nz):
R = k[i] * ubar[n] + l[j] * vbar[n]
K2 = k[i]**2 + l[j]**2
bf = f0**2 * dzc[n-1]**-1
b_1 = N2[n-1] * dzf[n-1]
b = N2[n] * dzf[n]
B_1 = bf * b_1**-1
B = - (bf * ( b**-1 + b_1**-1 ) + K2)
Bt1 = bf * b**-1
N2Z = (N2[n]*dzf[n])**-1
N2Z_1 = (N2[n-1]*dzf[n-1])**-1
P = ( k[i] * ( beta - bf * ( ubar[n+1] * N2Z
- (N2Z + N2Z_1) * ubar[n]
+ N2Z_1 * ubar[n-1] ) )
- l[j] * bf * ( vbar[n+1] * N2Z
- (N2Z + N2Z_1) * vbar[n]
+ N2Z_1 * vbar[n-1] )
)
L[n, n-1] = R * B_1
L[n, n] = R * B + P
L[n, n+1] = R * Bt1
G[n, n-1] = B_1
G[n, n] = B
G[n, n+1] = Bt1
val, func = eigs( csc_matrix(inv(csc_matrix(G)).dot(csc_matrix(L))),
k=2, which='LI', ncv=100, maxiter=1000 ) # default returns 6 eigenvectors
if i == 0 and j == 0:
omega = np.zeros( (len(val), len(k)), dtype=complex )
psi = np.zeros( (nz+1, len(val), len(k)), dtype=complex )
omega[:, i] = val
psi[:, :, i] = func # Each column is the eigenfunction
omega_imag = omega.imag.max(axis=1)
p = np.argsort(omega_imag)[::-1]
omega = omega[p]
psi = psi[:, p]
print(omega_imag[p])
[ 0.3097162 0.26593829]
# packages in environment at /home/takaya/.conda/envs/oceanmodes:
#
backports 1.0 py27_0 defaults
backports-abc 0.4 <pip>
backports.shutil-get-terminal-size 1.0.0 <pip>
backports.ssl-match-hostname 3.4.0.2 <pip>
backports_abc 0.4 py27_0 defaults
cairo 1.12.18 6 defaults
configparser 3.5.0b2 py27_1 defaults
cycler 0.10.0 py27_0 defaults
decorator 4.0.9 py27_0 defaults
entrypoints 0.2 py27_1 defaults
fontconfig 2.11.1 5 defaults
freetype 2.5.5 0 defaults
functools32 3.2.3.2 py27_0 defaults
get_terminal_size 1.0.0 py27_0 defaults
ipykernel 4.3.1 py27_0 defaults
ipython 4.2.0 py27_0 defaults
ipython-genutils 0.1.0 <pip>
ipython_genutils 0.1.0 py27_0 defaults
ipywidgets 4.1.1 py27_0 defaults
jinja2 2.8 py27_0 defaults
jsonschema 2.5.1 py27_0 defaults
jupyter 1.0.0 py27_2 defaults
jupyter-client 4.2.2 <pip>
jupyter-console 4.1.1 <pip>
jupyter-core 4.1.0 <pip>
jupyter_client 4.2.2 py27_0 defaults
jupyter_console 4.1.1 py27_0 defaults
jupyter_core 4.1.0 py27_0 defaults
libgcc 5.2.0 0 defaults
libgfortran 3.0.0 1 defaults
libpng 1.6.17 0 defaults
libsodium 1.0.3 0 defaults
libxml2 2.9.2 0 defaults
markupsafe 0.23 py27_0 <unknown>
matplotlib 1.5.1 np111py27_0 defaults
mistune 0.7.2 py27_0 defaults
mkl 11.3.1 0 defaults
nbconvert 4.2.0 py27_0 defaults
nbformat 4.0.1 py27_0 defaults
notebook 4.2.0 py27_0 defaults
numpy 1.11.0 py27_0 defaults
openssl 1.0.2h 0 defaults
path.py 8.2.1 py27_0 defaults
pexpect 4.0.1 py27_0 defaults
pickleshare 0.5 py27_0 defaults
pip 8.1.1 py27_1 defaults
pixman 0.32.6 0 defaults
ptyprocess 0.5 py27_0 defaults
pycairo 1.10.0 py27_0 defaults
pygments 2.1.3 py27_0 defaults
pyparsing 2.1.1 py27_0 defaults
pyqt 4.11.4 py27_1 defaults
python 2.7.11 0 defaults
python-dateutil 2.5.2 py27_0 defaults
pytz 2016.3 py27_0 defaults
pyzmq 15.2.0 py27_0 defaults
qt 4.8.7 1 defaults
qtconsole 4.2.1 py27_0 defaults
readline 6.2 2 <unknown>
scipy 0.17.0 np111py27_3 defaults
setuptools 20.7.0 py27_0 defaults
simplegeneric 0.8.1 py27_0 defaults
singledispatch 3.4.0.3 py27_0 defaults
sip 4.16.9 py27_0 defaults
six 1.10.0 py27_0 defaults
sqlite 3.9.2 0 defaults
ssl_match_hostname 3.4.0.2 py27_1 defaults
terminado 0.5 py27_1 defaults
tk 8.5.18 0 http://repo.continuum.io/pkgs/free/linux-64/tk-8.5.18-0.tar.bz2
tornado 4.3 py27_0 defaults
traitlets 4.2.1 py27_0 defaults
wheel 0.29.0 py27_0 defaults
zeromq 4.1.3 0 defaults
zlib 1.2.8 0 http://repo.continuum.io/pkgs/free/linux-64/zlib-1.2.8-0.tar.bz2
#环境中的包位于/home/takaya/。conda/envs/oceanmodes:
#
Backport 1.0 py27_0默认值
后端口abc 0.4
Backport.shutil-get-terminal-size 1.0.0
backports.ssl-match-hostname 3.4.0.2
Backport_abc 0.4 py27_0默认值
开罗1.12.18 6默认值
configparser 3.5.0b2 py27_1默认值
cycler 0.10.0 py27_0默认值
装饰器4.0.9 py27_0默认值
入口点0.2 py27_1默认值
fontconfig 2.11.1 5默认值
freetype 2.5.5 0默认值
functools32 3.2.3.2 py27_0默认值
获取\u终端\u大小1.0.0 py27\u 0默认值
ipykernel 4.3.1 py27_0默认值
ipython 4.2.0 py27_0默认值
ipython genutils 0.1.0
ipython_genutils 0.1.0 py27_0默认值
ipywidgets 4.1.1 py27_0默认值
jinja2 2.8 py27_0默认值
jsonschema 2.5.1 py27_0默认值
jupyter 1.0.0 py27_2默认值
jupyter客户端4.2.2
jupyter控制台4.1.1
jupyter core 4.1.0
jupyter_客户端4.2.2 py27_0默认值
jupyter_控制台4.1.1 py27_0默认值
jupyter_core 4.1.0 py27_0默认值
libgcc 5.2.0 0默认值
libgfortran 3.0.0 1默认值
libpng 1.6.17 0默认值
LibNa 1.0.3 0默认值
libxml2.9.2 0默认值
markupsafe 0.23 py27_0
matplotlib 1.5.1 np111py27_0默认值
错误调整0.7.2 py27_0默认值
mkl 11.3.1 0默认值
nbconvert 4.2.0 py27_0默认值
nbformat 4.0.1 py27_0默认值
笔记本电脑4.2.0 py27_0默认值
numpy 1.11.0 py27_0默认值
openssl 1.0.2h 0默认值
path.py 8.2.1 py27_0默认值
pexpect 4.0.1 py27_0默认值
pickleshare 0.5 py27_0默认值
pip 8.1.1 py27_1默认值
pixman 0.32.6 0默认值
ptyprocess 0.5 py27_0默认值
pycairo 1.10.0 py27_0默认值
pygments 2.1.3 py27_0默认值
pyparsing 2.1.1 py27_0默认值
pyqt 4.11.4 py27_1默认值
python 2.7.11 0默认值
python dateutil 2.5.2 py27_0默认值
pytz 2016.3 py27_0默认值
pyzmq 15.2.0 py27_0默认值
qt 4.8.7 1默认值
qtconsole 4.2.1 py27_0默认值
readline 6.2
scipy 0.17.0 np111py27_3默认值
setuptools 20.7.0 py27_0默认值
simplegeneric 0.8.1 py27_0默认值
singledispatch 3.4.0.3 py27_0默认值
sip 4.16.9 py27_0默认值
六个1.10.0 py27_0默认值
sqlite 3.9.2 0默认值
ssl_匹配_主机名3.4.0.2 py27_1默认值
terminado 0.5 py27_1默认值
tk 8.5.18 0http://repo.continuum.io/pkgs/free/linux-64/tk-8.5.18-0.tar.bz2
tornado 4.3 py27_0默认值
traitlets 4.2.1 py27_0默认值
控制盘0.29.0 py27_0默认值
zeromq 4.1.3 0默认值
zlib 1.2.8 0http://repo.continuum.io/pkgs/free/linux-64/zlib-1.2.8-0.tar.bz2
v0# packages in environment at /home/takaya/.conda/envs/oceanmodes:
#
backports 1.0 py27_0 defaults
backports-abc 0.4 <pip>
backports.shutil-get-terminal-size 1.0.0 <pip>
backports.ssl-match-hostname 3.4.0.2 <pip>
backports_abc 0.4 py27_0 defaults
cairo 1.12.18 6 defaults
configparser 3.5.0b2 py27_1 defaults
cycler 0.10.0 py27_0 defaults
decorator 4.0.9 py27_0 defaults
entrypoints 0.2 py27_1 defaults
fontconfig 2.11.1 5 defaults
freetype 2.5.5 0 defaults
functools32 3.2.3.2 py27_0 defaults
get_terminal_size 1.0.0 py27_0 defaults
ipykernel 4.3.1 py27_0 defaults
ipython 4.2.0 py27_0 defaults
ipython-genutils 0.1.0 <pip>
ipython_genutils 0.1.0 py27_0 defaults
ipywidgets 4.1.1 py27_0 defaults
jinja2 2.8 py27_0 defaults
jsonschema 2.5.1 py27_0 defaults
jupyter 1.0.0 py27_2 defaults
jupyter-client 4.2.2 <pip>
jupyter-console 4.1.1 <pip>
jupyter-core 4.1.0 <pip>
jupyter_client 4.2.2 py27_0 defaults
jupyter_console 4.1.1 py27_0 defaults
jupyter_core 4.1.0 py27_0 defaults
libgcc 5.2.0 0 defaults
libgfortran 3.0.0 1 defaults
libpng 1.6.17 0 defaults
libsodium 1.0.3 0 defaults
libxml2 2.9.2 0 defaults
markupsafe 0.23 py27_0 <unknown>
matplotlib 1.5.1 np111py27_0 defaults
mistune 0.7.2 py27_0 defaults
mkl 11.3.1 0 defaults
nbconvert 4.2.0 py27_0 defaults
nbformat 4.0.1 py27_0 defaults
notebook 4.2.0 py27_0 defaults
numpy 1.11.0 py27_0 defaults
openssl 1.0.2h 0 defaults
path.py 8.2.1 py27_0 defaults
pexpect 4.0.1 py27_0 defaults
pickleshare 0.5 py27_0 defaults
pip 8.1.1 py27_1 defaults
pixman 0.32.6 0 defaults
ptyprocess 0.5 py27_0 defaults
pycairo 1.10.0 py27_0 defaults
pygments 2.1.3 py27_0 defaults
pyparsing 2.1.1 py27_0 defaults
pyqt 4.11.4 py27_1 defaults
python 2.7.11 0 defaults
python-dateutil 2.5.2 py27_0 defaults
pytz 2016.3 py27_0 defaults
pyzmq 15.2.0 py27_0 defaults
qt 4.8.7 1 defaults
qtconsole 4.2.1 py27_0 defaults
readline 6.2 2 <unknown>
scipy 0.17.0 np111py27_3 defaults
setuptools 20.7.0 py27_0 defaults
simplegeneric 0.8.1 py27_0 defaults
singledispatch 3.4.0.3 py27_0 defaults
sip 4.16.9 py27_0 defaults
six 1.10.0 py27_0 defaults
sqlite 3.9.2 0 defaults
ssl_match_hostname 3.4.0.2 py27_1 defaults
terminado 0.5 py27_1 defaults
tk 8.5.18 0 http://repo.continuum.io/pkgs/free/linux-64/tk-8.5.18-0.tar.bz2
tornado 4.3 py27_0 defaults
traitlets 4.2.1 py27_0 defaults
wheel 0.29.0 py27_0 defaults
zeromq 4.1.3 0 defaults
zlib 1.2.8 0 http://repo.continuum.io/pkgs/free/linux-64/zlib-1.2.8-0.tar.bz2