`scipy.optimize._optimize:rosen_hess_prod`

source: /scipy/optimize/_optimize.py:475

Signature

def rosen_hess_prod(x, p)

Summary

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

Parameters

x : array_like: 1-D array of points at which the Hessian matrix is to be computed.
p : array_like: 1-D array, the vector to be multiplied by the Hessian matrix.

Returns

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

Notes

Array API Standard Support

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.

====================  ====================  ====================
Library               CPU                   GPU
====================  ====================  ====================
NumPy                 ✅                     n/a                 
CuPy                  n/a                   ✅                   
PyTorch               ✅                     ✅                   
JAX                   ⛔                     ⛔                   
Dask                  ✅                     n/a                 
====================  ====================  ====================

See dev-arrayapi 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.])

Aliases

scipy.optimize.rosen_hess_prod