diff --git a/spec/API_specification/array_api/linear_algebra_functions.py b/spec/API_specification/array_api/linear_algebra_functions.py
index f8f15e5b0..321c66668 100644
--- a/spec/API_specification/array_api/linear_algebra_functions.py
+++ b/spec/API_specification/array_api/linear_algebra_functions.py
@@ -86,13 +86,20 @@ def tensordot(x1: array, x2: array, /, *, axes: Union[int, Tuple[Sequence[int],
def vecdot(x1: array, x2: array, /, *, axis: int = -1) -> array:
"""
Computes the (vector) dot product of two arrays.
+
+ Let :math:`\mathbf{a}` be a vector in ``x1`` and :math:`\mathbf{b}` be a corresponding vector in ``x2``. The dot product is defined as
+
+ .. math::
+ \mathbf{a} \cdot \mathbf{b} = \sum_{i=0}^{n-1} a_i\overline{b_i}
+
+ over the dimension specified by ``axis`` and where :math:`n` is the dimension size and :math:`\overline{b_i}` denotes the complex conjugate if :math:`b_i` is complex and the identity if :math:`b_i` is real-valued.
Parameters
----------
x1: array
- first input array. Should have a real-valued data type.
+ first input array. Should have a floating-point data type.
x2: array
- second input array. Must be compatible with ``x1`` for all non-contracted axes (see :ref:`broadcasting`). The size of the axis over which to compute the dot product must be the same size as the respective axis in ``x1``. Should have a real-valued data type.
+ second input array. Must be compatible with ``x1`` for all non-contracted axes (see :ref:`broadcasting`). The size of the axis over which to compute the dot product must be the same size as the respective axis in ``x1``. Should have a floating-point data type.
.. note::
The contracted axis (dimension) must not be broadcasted.
pFad - Phonifier reborn
Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.
Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.
Alternative Proxies:
Alternative Proxy
pFad Proxy
pFad v3 Proxy
pFad v4 Proxy