dot(a, b, out=None) Dot product of two arrays. Specifically, - If both `a` and `b` are 1-D arrays, it is inner product of vectors (without complex conjugation). - If both `a` and `b` are 2-D arrays, it is matrix multiplication, but using :func:`matmul` or ``a @ b`` is
(a, b, out=None)
| 740 | |
| 741 | @array_function_from_c_func_and_dispatcher(_multiarray_umath.dot) |
| 742 | def dot(a, b, out=None): |
| 743 | """ |
| 744 | dot(a, b, out=None) |
| 745 | |
| 746 | Dot product of two arrays. Specifically, |
| 747 | |
| 748 | - If both `a` and `b` are 1-D arrays, it is inner product of vectors |
| 749 | (without complex conjugation). |
| 750 | |
| 751 | - If both `a` and `b` are 2-D arrays, it is matrix multiplication, |
| 752 | but using :func:`matmul` or ``a @ b`` is preferred. |
| 753 | |
| 754 | - If either `a` or `b` is 0-D (scalar), it is equivalent to |
| 755 | :func:`multiply` and using ``numpy.multiply(a, b)`` or ``a * b`` is |
| 756 | preferred. |
| 757 | |
| 758 | - If `a` is an N-D array and `b` is a 1-D array, it is a sum product over |
| 759 | the last axis of `a` and `b`. |
| 760 | |
| 761 | - If `a` is an N-D array and `b` is an M-D array (where ``M>=2``), it is a |
| 762 | sum product over the last axis of `a` and the second-to-last axis of |
| 763 | `b`:: |
| 764 | |
| 765 | dot(a, b)[i,j,k,m] = sum(a[i,j,:] * b[k,:,m]) |
| 766 | |
| 767 | It uses an optimized BLAS library when possible (see `numpy.linalg`). |
| 768 | |
| 769 | Parameters |
| 770 | ---------- |
| 771 | a : array_like |
| 772 | First argument. |
| 773 | b : array_like |
| 774 | Second argument. |
| 775 | out : ndarray, optional |
| 776 | Output argument. This must have the exact kind that would be returned |
| 777 | if it was not used. In particular, it must have the right type, must be |
| 778 | C-contiguous, and its dtype must be the dtype that would be returned |
| 779 | for `dot(a,b)`. This is a performance feature. Therefore, if these |
| 780 | conditions are not met, an exception is raised, instead of attempting |
| 781 | to be flexible. |
| 782 | |
| 783 | Returns |
| 784 | ------- |
| 785 | output : ndarray |
| 786 | Returns the dot product of `a` and `b`. If `a` and `b` are both |
| 787 | scalars or both 1-D arrays then a scalar is returned; otherwise |
| 788 | an array is returned. |
| 789 | If `out` is given, then it is returned. |
| 790 | |
| 791 | Raises |
| 792 | ------ |
| 793 | ValueError |
| 794 | If the last dimension of `a` is not the same size as |
| 795 | the second-to-last dimension of `b`. |
| 796 | |
| 797 | See Also |
| 798 | -------- |
| 799 | vdot : Complex-conjugating dot product. |
no outgoing calls