Function forward_sensitivity 

pub fn forward_sensitivity<R>(
    linearization: &AcceptedLinearization<'_, R>,
    parameter_tangent: &[f64],
    properties: LinearOperatorProperties,
    solver: LinearSolveRequest<'_>,
) -> Result<LinearSolution, Diagnostic>
where
    R: LinearizedRelation<f64> + ?Sized,

Solve R_w dw = -R_p dp at one accepted linearization.

Errors

Returns a stable differentiation or solver diagnostic for shape, capability, convergence, or independently verified residual failures.