pylops.MatrixMult

class pylops.MatrixMult(*args, **kwargs)[source]

Matrix multiplication.

Simple wrapper to numpy.dot and numpy.vdot for an input matrix \(\mathbf{A}\).

Parameters
Anumpy.ndarray or scipy.sparse matrix

Matrix.

otherdimstuple, optional

Number of samples for each other dimension of model (model/data will be reshaped and A applied multiple times to each column of the model/data).

dtypestr, optional

Type of elements in input array.

namestr, optional

New in version 2.0.0.

Name of operator (to be used by pylops.utils.describe.describe)

Attributes
dimsdtuple

Shape of the array after the forward, but before linearization.

For example, y_reshaped = (Op * x.ravel()).reshape(Op.dimsd).

shapetuple

Operator shape

explicitbool

Operator contains a matrix that can be solved explicitly (True) or not (False)

complexbool

Matrix has complex numbers (True) or not (False)

Methods

__init__(A[, otherdims, 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.

inv()

Return the inverse of \(\mathbf{A}\).

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.

Examples using pylops.MatrixMult

CGLS and LSQR Solvers

CGLS and LSQR Solvers

CGLS and LSQR Solvers
Describe

Describe

Describe
MP, OMP, ISTA and FISTA

MP, OMP, ISTA and FISTA

MP, OMP, ISTA and FISTA
Matrix Multiplication

Matrix Multiplication

Matrix Multiplication
Operators concatenation

Operators concatenation

Operators concatenation
Operators with Multiprocessing

Operators with Multiprocessing

Operators with Multiprocessing
Restriction and Interpolation

Restriction and Interpolation

Restriction and Interpolation
02. The Dot-Test

02. The Dot-Test

02. The Dot-Test
03. Solvers

03. Solvers

03. Solvers
07. Post-stack inversion

07. Post-stack inversion

07. Post-stack inversion
08. Pre-stack (AVO) inversion

08. Pre-stack (AVO) inversion

08. Pre-stack (AVO) inversion
17. Real/Complex Inversion

17. Real/Complex Inversion

17. Real/Complex Inversion
19. Automatic Differentiation

19. Automatic Differentiation

19. Automatic Differentiation