pylops.Real#
- class pylops.Real(dims, dtype='complex128', name='R')[source]#
Real operator.
Return the real component of the input. The adjoint returns a complex number with the same real component as the input and zero imaginary component.
- Parameters
- dims
intortuple Number of samples for each dimension
- 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
Notes
In forward mode:
\[y_{i} = \Re\{x_{i}\} \quad \forall i=0,\ldots,N-1\]In adjoint mode:
\[x_{i} = \Re\{y_{i}\} + 0i \quad \forall i=0,\ldots,N-1\]- Attributes
- dims
tuple Shape of the array after the adjoint, but before flattening.
For example,
x_reshaped = (Op.H * y.ravel()).reshape(Op.dims).- dimsd
tuple Shape of the array after the forward, but before flattening. In this case, same as
dims.- rdtype
numpy.dtype Real dtype corresponding to
dtype.- shape
tuple Operator shape.
- dims
Methods
__init__(dims[, dtype, name])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()
