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
int
ortuple
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
- shape
tuple
Operator shape
- explicit
bool
Operator contains a matrix that can be solved explicitly (
True
) or not (False
)
- shape
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
()