pylops.MatrixMult¶
-
class
pylops.
MatrixMult
(A, dims=None, dtype='float64')[source]¶ Matrix multiplication.
Simple wrapper to
numpy.dot
andnumpy.vdot
for an input matrix \(\mathbf{A}\).Parameters: - A :
numpy.ndarray
orscipy.sparse
matrix Matrix.
- dims :
tuple
, optional Number of samples for each other dimension of model (model/data will be reshaped and
A
applied multiple times to each column of the model/data).- dtype :
str
, optional Type of elements in input array.
Attributes: Methods
__init__
(A[, dims, dtype])Initialize this LinearOperator. adjoint
()Hermitian adjoint. apply_columns
(cols)Apply subset of columns of operator cond
([uselobpcg])Condition number of linear operator. conj
()Complex conjugate operator div
(y[, niter, densesolver])Solve the linear problem \(\mathbf{y}=\mathbf{A}\mathbf{x}\). dot
(x)Matrix-matrix or matrix-vector multiplication. eigs
([neigs, symmetric, niter, uselobpcg])Most significant eigenvalues of linear operator. inv
()Return the inverse of \(\mathbf{A}\). matmat
(X)Matrix-matrix multiplication. matvec
(x)Matrix-vector multiplication. rmatmat
(X)Matrix-matrix multiplication. rmatvec
(x)Adjoint matrix-vector multiplication. todense
([backend])Return dense matrix. toimag
([forw, adj])Imag operator toreal
([forw, adj])Real operator tosparse
()Return sparse matrix. trace
([neval, method, backend])Trace of linear operator. transpose
()Transpose this linear operator. -
inv
()[source]¶ Return the inverse of \(\mathbf{A}\).
Returns: - Ainv :
numpy.ndarray
Inverse matrix.
- Ainv :
- A :