# cupyx.scipy.sparse.linalg.LinearOperator¶

class cupyx.scipy.sparse.linalg.LinearOperator(shape, matvec, rmatvec=None, matmat=None, dtype=None, rmatmat=None)[source]

Common interface for performing matrix vector products

To construct a concrete LinearOperator, either pass appropriate callables to the constructor of this class, or subclass it.

Parameters
• shape (tuple) – Matrix dimensions `(M, N)`.

• matvec (callable f(v)) – Returns returns `A * v`.

• rmatvec (callable f(v)) – Returns `A^H * v`, where `A^H` is the conjugate transpose of `A`.

• matmat (callable f(V)) – Returns `A * V`, where `V` is a dense matrix with dimensions `(N, K)`.

• dtype (dtype) – Data type of the matrix.

• rmatmat (callable f(V)) – Returns `A^H * V`, where `V` is a dense matrix with dimensions `(M, K)`.

Methods

__call__(x)[source]

Call self as a function.

dot(x)[source]

Matrix-matrix or matrix-vector multiplication.

matmat(X)[source]

Matrix-matrix multiplication.

matvec(x)[source]

Matrix-vector multiplication.

rmatmat(X)[source]

rmatvec(x)[source]

transpose()[source]

Transpose this linear operator.

__eq__(value, /)

Return self==value.

__ne__(value, /)

Return self!=value.

__lt__(value, /)

Return self<value.

__le__(value, /)

Return self<=value.

__gt__(value, /)

Return self>value.

__ge__(value, /)

Return self>=value.

Attributes

H