Numerical experiments, Tips, Tricks and Gotchas

## Computer Methods for Mathematical Computations

### 1. Introduction

Computer Methods for Mathematical Computations by George Forsythe, Michael Malcolm and Cleve Moler (FMM)
is one of the great classic textbooks on numerical methods. First I read it in Russian translation [1] and later bought the original [2].

I used the book both as a reference to numerical concepts and the source of working efficient algorithms.
During my work as a researcher and scientific programmer, I translatedand the original FORTRAN code to several languages.

I am going to share these translations on GitHub: FMM
( Direct link: https://github.com/dr-nikolai/FMM ).
All updates will be documented at FMM Wiki..

### 2. Fortran-90 translation

The original FMM algorithms are perfectly usable and available at NetLib.
However, Ralph Carmichael made translation to a modern version of FOFTRAN: [3].
He also added several testing routines.

### 3. Pascal translation

I translated the FMM routines to Object Pascal (Delphi). They are included into my numerical library PasMatLib
[4].

These algorithm, along with some dependencies and DUnit tests are collected in fmm.pas [5].
They can be used independently from PasMatLib.

### References

- Форсайт Дж., Малькольм М.,
Моулер К. Машинные методы
математических
вычислений. М.: Мир, 1980.
- Forsythe, George E.; Malcolm, Michael A.; Moler, Cleve B.: Computer Methods for Mathematical Computations, Prentice-Hall, 1977.
- Computer Methods for Mathematical Computations FMM Fortran-90.
- Scientific programming with Delphi PasMatLib.
- Delphi/Pascal implementation (Delphi 5+, Lazarus) by Nikolai Shokhirev fmm.pas .
- Brent, R.P.: Algorithms for Minimization without Derivatives, Prentice-Hall, 1973.