11. For problems with linear constraints and a nonlinear objective, a reduced-gradient method is used. 12. The first step was replacing the direct solvers by iterative solvers such as the conjugate gradient method . 13. In reinforcement learning applications LSTM can be trained by policy gradient methods , evolution strategies or genetic algorithms. 14. For large systems, an iterative method, such as the conjugate gradient method , may be more efficient. 15. Hydraulics includes a specific symbol library and uses modeling techniques such the Bernoulli s law and the gradient method . 16. The remaining Schur complement system on the unknowns associated with subdomain interfaces is solved by the conjugate gradient method . 17. His greatest scientific achievement is the invention of Temperature Gradient Method for quenching intensity measuring, recording and evaluation. 18. The discrete pressure equation is solved numerically with a fast elliptic solver in conjunction with a generalized conjugate gradient method . 19. In later years, he began focusing on numerical linear algebra, in particular conjugate gradient methods and their taxonomy. 20. Proximal gradient methods provide a general framework which is applicable to a wide variety of problems in statistical learning theory.