Sane Extensions to MATLAB (sxm) is a library of MATLAB functions and classes which perform some useful tasks in a much saner way than MATLAB does natively.

A brief overview of features:

• ADTs
  • List
  • Set
• Wrappers around common MATLAB operations
  • Plotting
  • Solving BVPs
• Numerical methods
  • Numerical differentiation
    • Forward difference
    • Backward difference
    • Central difference
  • Linear systems of equations
    • Naive Gaussian elimination
  • IVP solving
    • Euler's method
  • Monte Carlo methods
• Performance testing extensions
  • Raising square matrices to arbitrary powers
  • Summing arbitrarily large vectors
  • Naive Gaussian solution of arbitrarily large Hilbert matrices
  • Euler's method for arbitrary number of steps
• Various mathematical utilities of historical interest
  • Egyptian multiplication