pylops.Sum¶
-
class
pylops.
Sum
(dims, dir, dtype='float64')[source]¶ Sum operator.
Sum along an axis of a multi-dimensional array (at least 2 dimensions are required) in forward model, and spread along the same axis in adjoint mode.
Parameters: Notes
Given a two dimensional array, the Sum operator re-arranges the input model into a multi-dimensional array of size
dims
and sums values along directiondir
:\[y_j = \sum_i x_{i, j}\]In adjoint mode, the data is spread along the same direction:
\[x_{i, j} = y_j \quad \forall i=0, N-1\]Attributes: Methods
__init__
(self, dims, dir[, dtype])Initialize this LinearOperator. adjoint
(self)Hermitian adjoint. apply_columns
(self, cols)Apply subset of columns of operator cond
(self, \*\*kwargs_eig)Condition number of linear operator. conj
(self)Complex conjugate operator div
(self, y[, niter])Solve the linear problem \(\mathbf{y}=\mathbf{A}\mathbf{x}\). dot
(self, x)Matrix-matrix or matrix-vector multiplication. eigs
(self[, neigs, symmetric, niter])Most significant eigenvalues of linear operator. matmat
(self, X)Matrix-matrix multiplication. matvec
(self, x)Matrix-vector multiplication. rmatmat
(self, X)Adjoint matrix-matrix multiplication. rmatvec
(self, x)Adjoint matrix-vector multiplication. todense
(self)Return dense matrix. transpose
(self)Transpose this linear operator.