Computers and Numerical Analysis

• Numerical Methods require repetitive arithmetic operations $\Rightarrow$ a computer to carry out
  • also, a human would make so many mistakes
• A computer program must be written so the the computer can do numerical analysis
  • FORTRAN, Pascal, C, C++, Java, $\ldots$
  • IMSL (International Mathematical and Statistical Library)
  • LAPACK (Linear Algebra Package)
  • Distributed and Parallel Computing; any idle computers connected over network
  • CAS (Computer Algebra System)
    • Mathematica
    • MATLAB
    • Maple (For all above: if an analytical answer can not be given, answer by numerical methods)
    • This kind of programs mimics the way humans solve mathematical problems
    • ability to perform symbolically
    • ability to carry out numerical procedures with extreme precision
    • good for small problems and learning environment