mm.math.left_matmul_at_modes

math.left_matmul_at_modes(b_full, modes)

Left matrix multiplication of a partial matrix and a full matrix.

It assumes that that a_partial is a matrix operating on M modes and that modes is a list of M integers, i.e., it will apply a_partial on the corresponding M modes of b_full from the left.

Parameters:

• a_partial (ndarray[Tuple[int, ...], Union[TypeVar(R, float16, float32, float64), TypeVar(C, complex64, complex128), TypeVar(Z, int16, int32, int64), TypeVar(N, uint16, uint32, uint64)]]) – The \(2M\times 2M\) array

• b_full (ndarray[Tuple[int, ...], Union[TypeVar(R, float16, float32, float64), TypeVar(C, complex64, complex128), TypeVar(Z, int16, int32, int64), TypeVar(N, uint16, uint32, uint64)]]) – The \(2N\times 2N\) array

• modes (Sequence[int]) – A list of M modes to perform the multiplication on

Return type:

ndarray[Tuple[int, ...], Union[TypeVar(R, float16, float32, float64), TypeVar(C, complex64, complex128), TypeVar(Z, int16, int32, int64), TypeVar(N, uint16, uint32, uint64)]]

Returns:

The \(2N\times 2N\) array

code/api/mrmustard.math.left_matmul_at_modes

 

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