Welcome to HighFM documentation!

Contents:

• Getting started
  • Dependencies
  • Installation
  • Usage
  • Documentation
  • Testing Suite
• Constants
  • Preprocessing Directives
  • Constants
    • MatrixTriangularType
    • MatrixSymmetry
    • OpSide
    • SolverFlags
    • FinalTimeHandle
    • SVDMethod
    • PermutationDirection
    • SortOrder
    • DefaultLocation
    • index_t
    • kNone
    • kAuto
    • kAll
    • kHost
    • kDevice
    • inplace
• Basic Types
  • MatrixBase
    • HighFM::MatrixBase
  • Array
    • HighFM::Array
  • DataMap
    • HighFM::DataMap
  • Vector
    • HighFM::Vector
    • HighFM::VectorData
  • Matrix
    • HighFM::Matrix
    • HighFM::MatrixData
  • Sparse Vector
    • HighFM::SparseVector
    • HighFM::SparseVectorData
  • COO Matrix
    • HighFM::COOMatrix
  • CSR Matrix
    • HighFM::CSRMatrix
    • HighFM::CSRMatrixData
  • Triangular Map
    • HighFM::TriangularMap
  • Template Parameters:
  • Capacity:
  • Element Access and Slicing:
    • HighFM::Range
  • Assignment:
  • Compatibility
    • HighFM::MatrixData
• BLAS
  • Scaling
  • Addition and Subtraction
  • Transpose and Conjugate
  • Entry-wise Operations
  • Multiplication
  • Norm
  • Dot
  • Diagonal and Identity Matrix
  • Triangular Matrix
  • Slicing
  • Sparse BLAS
  • Aliasing
  • Expression Validation
  • References
• LAPACK
  • LU
    • Driver Routines
    • Factorization
  • Triangular Solver
    • trsolve()
    • trsolve()
    • trsolve()
    • trsolve()
    • trsolve()
    • trsolve()
    • trcond()
  • Orthogonal Factorizations
    • Driver Routines
    • QR
    • LQ
    • Householder Q
  • Eigenvalues
    • eigen()
    • eigen()
    • symmetric_eigen()
    • symmetric_eigen()
  • Sylvester
    • solve_sylvester()
  • Schur
    • schur()
    • hessenberg_schur()
    • reorder_schur()
  • SVD
    • svd()
    • compact_svd()
• Linear System Solvers
  • Sparse Direct Solvers
    • HighFM::Pardiso
  • AMGCL
    • ILU0
    • ILUT
    • SPAI0
    • SPAI1
    • AMGClassic
    • AMGSA
    • GMRESOptions
    • GMRES
    • ConjugateGradientOptions
    • ConjugateGradient
    • solve_linsys()
    • solve_linsys()
    • solve_linsys()
    • solve_linsys()
  • Least-Square
    • HighFM::LSMR
    • HighFM::LSMROptions
    • HighFM::LSMRReport
• Random
  • Generating random numbers
    • Generator
    • PCG
    • Xoroshiro
    • SplitMix
  • Constructing a sketch operator
    • Gaussian Sketching
    • Sparse Sign Sketching
    • SRTT Sketching
  • References
• Matrix Functions
  • Full Matrix Function
  • The action of the Matrix Function
    • Expv Taylor
    • Restarted Krylov
• ODE Solvers
  • Defining the equations
    • HighFM::SemiDiscreteODE1
    • HighFM::SemiDiscreteODE2
  • Defining the problem
    • HighFM::ODEProblem
  • Calculating the solution
    • HighFM::ForwardEuler
    • HighFM::RungeKutta4
    • DormandPrince54
    • CashKarp54
• Input/Output
  • Printing to the Terminal
    • MTX Files
    • HDF5 Files
• CUDA (Experimental)
  • Asynchronous Execution
  • Usage
• Extra Modules
  • ARPACK
    • API