Lines Matching refs:H_k

891 H_k d_k = -g_k
894 to obtain a step $d_k$, where $H_k$ is the Hessian of the
900 (H_k + \rho_k I) d_k = -g_k
1263 \min_d  & \frac{1}{2}d^T H_k d  + g_k^T d \\
1268 to obtain a direction $d_k$, where $H_k$ is the Hessian of
1450 $H_k d = -g_k$. The method used to solve the system of equations
1535 H_k d_k = -\nabla f(x_k),
1538 where $H_k$ is the Hessian approximation obtained by using the
1539 BFGS update formula. The inverse of $H_k$ can readily be applied
1719 H_k p_k = -g_k,
1741 $H_k^{-1}$. The initial bound tolerance $\epsilon_0$ and the
1788 (H_k + \rho_k I)p_k = -g_k,
2322 dv = -H_k^{-1} \tilde{g}_{k+\frac{1}{2}}
2365 $\tilde{g}_{k+1}$ are used to update $H_k$ to obtain the
2399 as $H_k \approx (J_k^T J_k)$ and the gradient of the objective as
2537  F_i(x_k) + (x-x_k)^T g_k^{(i)} + \frac{1}{2} (x-x_k)^T H_k^{(i)} (x-x_k),
2559 …_k)^T \sum_{i=1}^{m} \left( g_k^{(i)} \left(g_k^{(i)}\right)^T +  F_i(x_k) H_k^{(i)}\right) (x-x_k…