/* ************************************************************************ * Copyright (C) 2018-2021 Advanced Micro Devices, Inc. All rights Reserved. * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN * THE SOFTWARE. * * ************************************************************************ */ #ifndef ROCALUTION_KRYLOV_CG_HPP_ #define ROCALUTION_KRYLOV_CG_HPP_ #include "../solver.hpp" #include "rocalution/export.hpp" #include namespace rocalution { /** \ingroup solver_module * \class CG * \brief Conjugate Gradient Method * \details * The Conjugate Gradient method is the best known iterative method for solving sparse * symmetric positive definite (SPD) linear systems \f$Ax=b\f$. It is based on * orthogonal projection onto the Krylov subspace \f$\mathcal{K}_{m}(r_{0}, A)\f$, * where \f$r_{0}\f$ is the initial residual. The method can be preconditioned, where * the approximation should also be SPD. * \cite SAAD * * \tparam OperatorType - can be LocalMatrix, GlobalMatrix or LocalStencil * \tparam VectorType - can be LocalVector or GlobalVector * \tparam ValueType - can be float, double, std::complex or std::complex */ template class CG : public IterativeLinearSolver { public: ROCALUTION_EXPORT CG(); ROCALUTION_EXPORT virtual ~CG(); ROCALUTION_EXPORT virtual void Print(void) const; ROCALUTION_EXPORT virtual void Build(void); ROCALUTION_EXPORT virtual void BuildMoveToAcceleratorAsync(void); ROCALUTION_EXPORT virtual void Sync(void); ROCALUTION_EXPORT virtual void ReBuildNumeric(void); ROCALUTION_EXPORT virtual void Clear(void); protected: virtual void SolveNonPrecond_(const VectorType& rhs, VectorType* x); virtual void SolvePrecond_(const VectorType& rhs, VectorType* x); virtual void PrintStart_(void) const; virtual void PrintEnd_(void) const; virtual void MoveToHostLocalData_(void); virtual void MoveToAcceleratorLocalData_(void); private: VectorType r_, z_; VectorType p_, q_; }; } // namespace rocalution #endif // ROCALUTION_KRYLOV_CG_HPP_