torch (version 0.8.1)

torch_lu_solve: Lu_solve

Description

Lu_solve

Usage

torch_lu_solve(self, LU_data, LU_pivots)

Arguments

self

(Tensor) the RHS tensor of size \((*, m, k)\), where \(*\) is zero or more batch dimensions.

LU_data

(Tensor) the pivoted LU factorization of A from torch_lu of size \((*, m, m)\), where \(*\) is zero or more batch dimensions.

LU_pivots

(IntTensor) the pivots of the LU factorization from torch_lu 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.

lu_solve(input, LU_data, LU_pivots, out=NULL) -> Tensor

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

Examples

if (torch_is_installed()) {
A = torch_randn(c(2, 3, 3))
b = torch_randn(c(2, 3, 1))
out = torch_lu(A)
x = torch_lu_solve(b, out[[1]], out[[2]])
torch_norm(torch_bmm(A, x) - b)
}