pylops.Transpose¶
- class pylops.Transpose(*args, **kwargs)[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
)
- dims
- 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.