cr.sparse.lop.Operator

class cr.sparse.lop.Operator(times: Callable[[jax._src.numpy.lax_numpy.ndarray], jax._src.numpy.lax_numpy.ndarray], trans: Callable[[jax._src.numpy.lax_numpy.ndarray], jax._src.numpy.lax_numpy.ndarray], shape: Tuple[int, int], linear: bool = True, jit_safe: bool = True, matrix_safe: bool = True, real: bool = True)[source]

Represents a finite linear operator \(T : A -> B\) where \(A\) and \(B\) are finite vector spaces.

Parameters

  • times – A function implementing \(T(x)\)

  • trans – A function implementing \(T^H (x)\)

  • m – The dimension of the destination vector space \(B\)

  • n – The dimension of the source vector space \(A\)

  • linear – Indicates if the operator is linear or not

  • jit_safe – Indicates if the operator can be safely JIT compiled

  • matrix_safe – Indicates if the operator can accept a matrix of vectors

  • real – Indicates if a linear operator is real i.e. has a matrix representation of real numbers

Note

While most of the operators in the library are linear operators, some are not. Prominent examples include operators like real part operator, imaginary part operator. These operators are provided for convenience.

Most operators in this collection are real.

Attributes

jit_safe

Indicates if the times and trans functions can be safely jit compiled

linear

Indicates if the operator is linear or not

matrix_safe

Indicates if the operator can accept a matrix of vectors

real

Indicates if a linear operator is real i.e. has a matrix representation of real numbers.

shape

Dimension of the linear operator (m, n)

times

A linear function mapping from A to B

trans

Corresponding adjoint linear function mapping from B to A