rosen_hess_prod — SciPy v1.16.0 Manual (original) (raw)

scipy.optimize.

scipy.optimize.rosen_hess_prod(x, p)[source]#

Product of the Hessian matrix of the Rosenbrock function with a vector.

Parameters:

xarray_like

1-D array of points at which the Hessian matrix is to be computed.

parray_like

1-D array, the vector to be multiplied by the Hessian matrix.

Returns:

rosen_hess_prodndarray

The Hessian matrix of the Rosenbrock function at x multiplied by the vector p.

Notes

rosen_hess_prod has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable SCIPY_ARRAY_API=1 and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.

See Support for the array API standard for more information.

Examples

import numpy as np from scipy.optimize import rosen_hess_prod X = 0.1 * np.arange(9) p = 0.5 * np.arange(9) rosen_hess_prod(X, p) array([ -0., 27., -10., -95., -192., -265., -278., -195., -180.])