PISM, A Parallel Ice Sheet Model
stable v2.1.1 committed by Constantine Khrulev on 2024-12-04 13:36:58 -0900
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◆ gradientAt()
Computes the gradient of the functional at the vector x. On an \(m\times n\) Grid, an array::Array \(x\) with \(d\) degrees of freedom will be \(d m n\)-dimensional with components \(x_i\). The gradient computed here is the vector of directional derivatives \(\nabla J\) of the functional \(J\) with respect to \(x\). Concretely, the \(i^{\rm th}\) component of \(\nabla J\) is \[ \nabla J_i = \frac{\partial}{\partial x_i} J(x). \] This vector is returned as Implements pism::inverse::IPFunctional< array::Vector >. Definition at line 100 of file IPLogRatioFunctional.cc. References pism::array::Array2D< T >::add(), m_eps, pism::inverse::IPFunctional< array::Vector >::m_grid, m_normalization, m_u_observed, m_weights, pism::array::Array::set(), pism::Vector2d::u, and pism::Vector2d::v. |