math5610

Software Manual

by Andrew Aposhian

Table of Contents

• Basic computional math routines
  • MachineEpsilon.hpp
    • getMachineEpsilon
    • getDoubleMachineEpsilon
• Basic linear algebra routines
  • Array<T>
  • DenseArray<T>
    • makeRandomSymmetric.md
    • makeRandomDD.md
    • makeRandomSymmetricDD.md
  • Vector<T>
  • ArrayUtils.hpp
    • add
    • multiply
    • dot
    • cross
    • matmul
    • transpose
    • makeRandomRawArray
    • getRandomSPDArray
  • VectorNorms.hpp
    • absoluteError
    • relativeError
    • l1Norm
    • l2Norm
    • infNorm
    • l1NormAbsoluteError
    • l2NormAbsoluteError
    • infNormAbsoluteError
  • MatrixNorms.hpp
    • matrix1Norm
    • matrixInfNorm
    • estimate2NormConditionNumber
• Solution of Linear Systems
  • solveLinearDiagonalSystem
  • backsub
  • forwardsub
  • rowReduce
  • solveLinearSystem
  • solveLinearSystemInline
  • lu
  • luSolve
  • cholesky
  • solveNormalEquation
  • jacobiSolve
  • gaussSeidelSolve
  • steepestDescentSolve
  • cg
  • squareClassicalGramSchmidt
  • squareModifiedGramSchmidt
  • qrSolve
• Eigenvalue Solvers
  • powerEigenSolve
  • inverseEigenSolve
  • inverseEigenJacobiSolve
  • rayleighEigenSolve