`scipy.optimize._lsq.common:build_quadratic_1d`

Signature

def build_quadratic_1d ( J , g , s , diag = None , s0 = None )

Parameterize a multivariate quadratic function along a line.

The resulting univariate quadratic function is given as follows

f(t) = 0.5 * (s0 + s*t).T * (J.T*J + diag) * (s0 + s*t) +
       g.T * (s0 + s*t)

J : ndarray, sparse array or LinearOperator shape (m, n): Jacobian matrix, affects the quadratic term.
g : ndarray, shape (n,): Gradient, defines the linear term.
s : ndarray, shape (n,): Direction vector of a line.
diag : None or ndarray with shape (n,), optional: Addition diagonal part, affects the quadratic term. If None, assumed to be 0.
s0 : None or ndarray with shape (n,), optional: Initial point. If None, assumed to be 0.