.. _op_ai_onnx_Gemm-1:

Gemm - version 1
================

This page documents version **1** of operator **Gemm**. See :doc:`Gemm` for the latest version (since version 13).

- **Domain**: ``ai.onnx``
- **Since version**: 1

General Matrix multiplication:
https://en.wikipedia.org/wiki/Basic_Linear_Algebra_Subprograms#Level_3
Compute Y = alpha \* A \* B + beta \* C, where input tensor A has
dimension (M X K), input tensor B has dimension (K X N), input tensor C and
output tensor Y have dimension (M X N).
If attribute broadcast is non-zero, input tensor C will be broadcasted to match
the dimension requirement. A will be transposed before doing the computation
if attribute transA is non-zero, same for B and transB.

**Inputs**

- **A** (*T*): Input tensor A
- **B** (*T*): Input tensor B
- **C** (*T*): Input tensor C, can be inplace.

**Outputs**

- **Y** (*T*): Output tensor.

**Type Constraints**

- **T**: Constrain input and output types to float tensors.
  Allowed types: tensor(double), tensor(float), tensor(float16).