# cr.sparse.lop.Operator¶

class cr.sparse.lop.Operator(times: Callable[[jax.Array], jax.Array], trans: Callable[[jax.Array], jax.Array], 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

 input_ndim Returns the number of dimensions of input to the operator input_shape Returns the shape of input to the operator as a tuple input_size Returns the size of input to the operator 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 output_ndim Returns the number of dimensions of output of the operator output_shape Returns the shape of output of the operator as a tuple output_size Returns the size of output of the operator 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