Matrix_exp
Source:R/gen-namespace-docs.R, R/gen-namespace-examples.R, R/gen-namespace.R
torch_matrix_exp.RdMatrix_exp
matrix_power(input) -> Tensor
Returns the matrix exponential. Supports batched input.
For a matrix A, the matrix exponential is defined as
$$ \exp^A = \sum_{k=0}^\infty A^k / k!. $$
The implementation is based on: Bader, P.; Blanes, S.; Casas, F. Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation. Mathematics 2019, 7, 1174.
Examples
if (torch_is_installed()) {
a <- torch_randn(c(2, 2, 2))
a[1, , ] <- torch_eye(2, 2)
a[2, , ] <- 2 * torch_eye(2, 2)
a
torch_matrix_exp(a)
x <- torch_tensor(rbind(c(0, pi/3), c(-pi/3, 0)))
x$matrix_exp() # should be [[cos(pi/3), sin(pi/3)], [-sin(pi/3), cos(pi/3)]]
}
#> torch_tensor
#> 0.5000 0.8660
#> -0.8660 0.5000
#> [ CPUFloatType{2,2} ]