Abstract: In the finite element method (FEM), the matrix equation can be solved either using a direct elimination method or an iterative method. The conjugate gradient (CG) is a common-used iterative ...

Conjugate gradient methods form a class of iterative algorithms that are highly effective for solving large‐scale unconstrained optimisation problems. They achieve efficiency by constructing search ...

Conjugate gradient method is a numerical method that can find the minima of the function in the hyper-dimensional space, and conjugate gradient method includes linear conjugate method and non-linear ...

Abstract: This paper extends the conjugate gradient minimization method of Fletcher and Reeves to optimal control problems. The technique is directly applicable only to unconstrained problems; if ...

GPU-accelerated linear solvers based on the conjugate gradient (CG) method, supporting NVIDIA and AMD GPUs with GPU-aware MPI, NCCL, RCCL or NVSHMEM ...

ABSTRACT: In conjugate gradient method, it is well known that the recursively computed residual differs from true one as the iteration proceeds in finite arithmetic. Some work have been devoted to ...

ABSTRACT: In this paper, an efficient computational algorithm is proposed to solve the nonlinear optimal control problem. In our approach, the linear quadratic optimal control model, which is adding ...