软件介绍方法算法计算问题函数库SOR PreconditioningPETScOverlapping AdditivePETSCSchwartzApproximateInverseHypre迭代方法AztecooSparse LUPETSCpreconditionerHypre线性方程组IncompleteLU(ILU)AztecoopreconditionerPETScLeastSquaresPolynomialsPETScMG PreconditionerHypre多重网格Algebraic MGHypreHypreSemi-coarsening
软件介绍 计算问题 方法 算法 函数库 线性方程组 迭代方法 SOR Preconditioning PETSc Overlapping Additive Schwartz PETSc Approximate Inverse Hypre Sparse LU preconditioner AztecOO PETSc Hypre Incomplete LU (ILU) preconditioner AztecOO Least Squares Polynomials PETSc 多重网格 MG Preconditioner PETSc Hypre Algebraic MG Hypre Semi-coarsening Hypre
软件介绍方法算法函数库计算问题最小二乘ScaLAPACKminx Il b-Ax Il2最小范数minx Il × I/2ScaLAPACK线性最小二乘minx II b-Ax Il2极小范数最小二乘ScaLAPACKminx Il x I2ScaLAPACK (dense)Az = Az特征值问题对称特征值SLEPc (sparse)For A=AH or A=ATAnasazi(sparse)ScaLAPACK (dense)A= UEVI奇异值问题奇异值分解SLEPc (sparse)A= UZVHAnasazi(sparse)Az = ^BzScaLAPACK (dense)特征值问题ABz = Z广义特征值SLEPc (sparse)Anasazi(sparse)BAz = ΛZ
计算问题 方法 算法 函数库 线性最小二乘 最小二乘 ScaLAPACK 最小范数 ScaLAPACK 极小范数最小二乘 ScaLAPACK 特征值问题 对称特征值 For A=AH or A=AT ScaLAPACK (dense) SLEPc (sparse) Anasazi(sparse) 奇异值问题 奇异值分解 ScaLAPACK (dense) SLEPc (sparse) Anasazi(sparse) 广义特征值 特征值问题 ScaLAPACK (dense) SLEPc (sparse) Anasazi(sparse) minx || b− Ax || 2 minx || x || 2 minx || x || 2 minx || b− Ax || 2 Az = z A = UV T A = UV H Az = Bz ABz = z BAz = z 软件介绍
软件介绍方法算法计算问题函数库PETScLine SearchNOX&LOCAPETScTrust RegionsNOX&LOCA非线性方程组NewtonBasedPETScPseudo-TransientContinuationNOX&LOCAPETScMatrixFreeNOX&LOCA
计算问题 方法 算法 函数库 非线性方程组 Newton Based Line Search PETSc NOX&LOCA Trust Regions PETSc NOX&LOCA Pseudo-Transient Continuation PETSc NOX&LOCA Matrix Free PETSc NOX&LOCA 软件介绍
软件介绍方法算法计算问题函数库MOOCHONewtonTAOFinite-DifferenceMOOCHONewtonTAONewtonBasedMOOCHOQuasi-NewtonTAONon-linear InteriorMOOCHO非线性最优化问题PointTAOStandard Non-MOOCHOlinearCGTAOLimited MemoryCGMOOCHOBFGSGradientTAOProjections
计算问题 方法 算法 函数库 非线性最优化问题 Newton Based Newton MOOCHO TAO Finite-Difference Newton MOOCHO TAO Quasi-Newton MOOCHO TAO Non-linear Interior Point MOOCHO TAO CG Standard Nonlinear CG MOOCHO TAO Limited Memory BFGS MOOCHO Gradient Projections TAO 软件介绍
软件介绍方法算法函数库计算问题Adam-MoultonCVODE(SUNDIALS)IntegrationVariable coefficientCVODESforms)常微分方程组CVODEBackwardDirect and IterativeDifferential FormulaSolversCVODESLineSearch非线性代数方程InexactNewtonKINSOL (SUNDIALS)Direct and IterativeBackwardSolvers差分代数方程IDA (SUNDIALS)Differential Formula
计算问题 方法 算法 函数库 常微分方程组 Integration Adam-Moulton (Variable coefficient forms) CVODE (SUNDIALS) CVODES Backward Differential Formula Direct and Iterative Solvers CVODE CVODES 非线性代数方程 Inexact Newton Line Search KINSOL (SUNDIALS) 差分代数方程 Backward Differential Formula Direct and Iterative Solvers IDA (SUNDIALS) 软件介绍