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These programs are examples for Numerical Analysis tutorial videos created by Oscar Veliz https://www.youtube.com/OscarVeliz. They are written in numerous languages such as C, Python, Haskell, SML/NJ, Julia, Ada, Rust, OCaml, Go, Kotlin, Perl, gnuplot, CLISP, Pascal, GNU Octave, and R. This accomplishes two tasks. The first to is to demonstrate that you can do Numerical Analysis in any language; that once you've learned one language you can program in anything. The second is to allow educators to use these programs as teaching tools without doing their students' homework for them. They are non-trivial, functional, and extensible pedagogical materials. The topics so far include:
- Bisection Method
- False Position Method - Regula Falsi
- Fixed Point Iteration
- Aitken's Δ² Method
- Steffensen's Method
- Wegstein's Method
- Newton's Method
- Newton's Method Convergence Interval
- Horner's Method
- Laguerre's Method
- Halley's Method
- Householder's Method
- Secant Method
- Inverse Quadratic Interpolation
- Muller's Method
- Durand-Kerner Method
- Aberth-Ehrlich
- Complex Plots
- Newton Fractal
- Halley Fractal
- Householder Fractal
- Laguerre Fractal
- Jarratt SPI Fractal
- Generalized Fixed Point Iteration
- Generalized Aitken-Steffensen
- Generalized Newton's Method
- Generalized Secant Method
- Generalized Traub-Steffensen