spsolve(A, b, permc_spec=None, use_umfpack=True)[source]¶
Solve the sparse linear system Ax=b, where b may be a vector or a matrix.
A : ndarray or sparse matrix
The square matrix A will be converted into CSC or CSR form
b : ndarray or sparse matrix
The matrix or vector representing the right hand side of the equation. If a vector, b.shape must be (n,) or (n, 1).
permc_spec : str, optional
How to permute the columns of the matrix for sparsity preservation. (default: ‘COLAMD’)
NATURAL: natural ordering.
MMD_ATA: minimum degree ordering on the structure of A^T A.
MMD_AT_PLUS_A: minimum degree ordering on the structure of A^T+A.
COLAMD: approximate minimum degree column ordering
use_umfpack : bool, optional
if True (default) then use umfpack for the solution. This is only referenced if b is a vector and
x : ndarray or sparse matrix
the solution of the sparse linear equation. If b is a vector, then x is a vector of size A.shape If b is a matrix, then x is a matrix of size (A.shape, b.shape)
For solving the matrix expression AX = B, this solver assumes the resulting matrix X is sparse, as is often the case for very sparse inputs. If the resulting X is dense, the construction of this sparse result will be relatively expensive. In that case, consider converting A to a dense matrix and using scipy.linalg.solve or its variants.