# tensorplay.functional.lu_solve

Source: https://www.tensorplay.cn/docs/generated/tensorplay.functional.lu_solve.html

```python
tensorplay.functional.lu_solve(b, LU_data, LU_pivots, *, out=None) → Tensor
```

Returns the LU solve of the linear system $Ax = b$ using the partially pivoted
LU factorization of A from lu_factor().

This function supports float, double, cfloat and cdouble dtypes for input.

> **Warning**
>
> tensorplay.lu_solve() is deprecated in favor of tensorplay.linalg.lu_solve(). X = tensorplay.lu_solve(B, LU, pivots) should be replaced with @@TPBLOCK_0@@

Parameters:

- b ([Tensor](/docs/generated/tensorplay.Tensor.html#tensorplay.Tensor)) – the RHS tensor of size $(*, m, k)$, where $*$ is zero or more batch dimensions.

- LU_data ([Tensor](/docs/generated/tensorplay.Tensor.html#tensorplay.Tensor)) – the pivoted LU factorization of A from lu_factor() of size $(*, m, m)$, where $*$ is zero or more batch dimensions.

- LU_pivots (IntTensor) – the pivots of the LU factorization from lu_factor() of size $(*, m)$, where $*$ is zero or more batch dimensions. The batch dimensions of LU_pivots must be equal to the batch dimensions of LU_data.

Keyword Arguments:

out ([Tensor](/docs/generated/tensorplay.Tensor.html#tensorplay.Tensor), optional) – the output tensor.

Example:

```
>>> A = tensorplay.randn(2, 3, 3)
>>> b = tensorplay.randn(2, 3, 1)
>>> LU, pivots = tensorplay.linalg.lu_factor(A)
>>> x = tensorplay.lu_solve(b, LU, pivots)
>>> tensorplay.dist(A @ x, b)
tensor(1.00000e-07 *
       2.8312)
```