pylops.MatrixMult¶
-
class
pylops.MatrixMult(A, dims=None, dtype='float64')[source]¶ Matrix multiplication.
Simple wrapper to
numpy.dotandnumpy.vdotfor an input matrix \(\mathbf{A}\).Parameters: - A :
numpy.ndarrayorscipy.sparsematrix Matrix.
- dims :
tuple, optional Number of samples for each other dimension of model (model/data will be reshaped and
Aapplied multiple times to each column of the model/data).- dtype :
str, optional Type of elements in input array.
Attributes: Methods
__init__(A[, dims, dtype])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. inv()Return the inverse of \(\mathbf{A}\). matmat(X)Matrix-matrix multiplication. matvec(x)Matrix-vector multiplication. 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. -
inv()[source]¶ Return the inverse of \(\mathbf{A}\).
Returns: - Ainv :
numpy.ndarray Inverse matrix.
- Ainv :
- A :