has-num

Numerical algebraic computation in Haskell aka collection of weird bugs or error messages

Current state

In progress

Get Started

• Get Stack : https://docs.haskellstack.org/en/stable/README/
• stack setup
• stack build
• stack exec num-linalg-exe
• ghci LU.hs -i ../Matrix ../Vector

Contents

Up Until now only with Integer

• transpose
• matrix multiplication
• handy functions to create matrix / vector
• LU Splitting
• Unit
• certain diagonal
• quadratic matrix

ToDo's

• Continous Integration

• Tests for all existing features

• Handy Shit:

  • Use Num Type instead of fixating on Int :(
  • Basic Matrix math with easy to use operators
  • Create Matrix:
    • Lower Triangle
    • Upper Triangle
    • split function that gives out two triangulars

• Matrix factorization:

  • QR
  • LU
    • Pivotsearch
  • Cholesky

• Iterative solving:

  • Gauß-Seidel
  • Jacobi
  • CG

• Problems with eigenvalues:

  • vector iteration
  • QR iteration

• Fault analysis: