我正在使用 petsc4py,现在面临一些问题。我有许多小的 petsc 密集矩阵 mij,我想将它们构造成一个大矩阵 M,如下所示:
[ m11 m12 m13 ]
M = | m21 m22 m23 | ,
[ m31 m32 m33 ]
下面显示了一个 mcve 代码,我使用的是 PETSc 的 python 包装,但是它们的语法是相似的。
import numpy as np
from petsc4py import PETSc
mSizes = (5, 8, 6)
mij = []
# create sub-matrices mij
for i in range(len(mSizes)):
for j in range(len(mSizes)):
temp_m = PETSc.Mat().create(comm=PETSc.COMM_WORLD)
temp_m.setSizes(((None, mSizes[i]), (None, mSizes[j])))
temp_m.setType('mpidense')
temp_m.setFromOptions()
temp_m.setUp()
temp_m[:, :] = np.random.random_sample((mSizes[i], mSizes[j]))
temp_m.assemble()
mij.append(temp_m)
# Now we have four sub-matrices.
# I would like to construct them into a big matrix M.
M = PETSc.Mat().create(comm=PETSc.COMM_WORLD)
M.setSizes(((None, np.sum(mSizes)), (None, np.sum(mSizes))))
M.setType('mpidense')
M.setFromOptions()
M.setUp()
mLocations = np.insert(np.cumsum(mSizes), 0, 0) # mLocations = [0, mSizes]
for i in range(len(mSizes)):
for j in range(len(mSizes)):
M[mLocations[i]:mLocations[i+1], mLocations[j]:mLocations[j+1]] = \
mij[i*len(mSizes)+j][:, :]
M.assemble()
报告此类错误消息:
Traceback (most recent call last):
File "tryMatConstuct.py", line 29, in <module>
mij[i*len(mSizes)+j][:, :]
File "PETSc/Mat.pyx", line 227, in petsc4py.PETSc.Mat.__getitem__ (src/petsc4py.PETSc.c:110477)
File "PETSc/petscmat.pxi", line 997, in petsc4py.PETSc.mat_getitem (src/petsc4py.PETSc.c:30481)
File "PETSc/petscmat.pxi", line 917, in petsc4py.PETSc.matgetvalues (src/petsc4py.PETSc.c:29242)
petsc4py.PETSc.Error: error code 56
[1] MatGetValues() line 1818 in /home/zhangji/PycharmProjects/petsc-petsc-31a1859eaff6/src/mat/interface/matrix.c
[1] MatGetValues_MPIDense() line 154 in /home/zhangji/PycharmProjects/petsc-petsc-31a1859eaff6/src/mat/impls/dense/mpi/mpidense.c
[1] No support for this operation for this object type
[1] Only local values currently supported