pylops.Transpose¶
-
class
pylops.
Transpose
(dims, axes, dtype='float64', name='T')[source]¶ Transpose operator.
Transpose axes of a multi-dimensional array. This operator works with flattened input model (or data), which are however multi-dimensional in nature and will be reshaped and treated as such in both forward and adjoint modes.
Parameters: - dims :
tuple
, optional Number of samples for each dimension
- axes :
tuple
, optional Direction along which transposition is applied
- dtype :
str
, optional Type of elements in input array
- name :
str
, optional New in version 2.0.0.
Name of operator (to be used by
pylops.utils.describe.describe
)
Raises: - ValueError
If
axes
contains repeated dimensions (or a dimension is missing)
Notes
The Transpose operator reshapes the input model into a multi-dimensional array of size
dims
and transposes (or swaps) its axes as defined inaxes
.Similarly, in adjoint mode the data is reshaped into a multi-dimensional array whose size is a permuted version of
dims
defined byaxes
. The array is then rearragned into the original model dimensionsdims
.Attributes: Methods
__init__
(dims, axes[, dtype, name])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. matmat
(X)Matrix-matrix multiplication. matvec
(x)Matrix-vector multiplication. reset_count
()Reset counters 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. - dims :