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numerical-veliz

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Example code from the Oscar Veliz YouTube channel https://www.youtube.com/OscarVeliz. This repo contains methods for finding roots, minimizing functions, solving systems of equations, and many other numerical algorithms! See the Wiki for more documentation. Become a GitHub Sponsor to support this project! For community guidelines visit the Code of Conduct and Contributing documents. Bug Reports and Topic Requests can be made submitted in the Issues forum. Distributed under MIT License.

Newton Fractals generated in gnuplot using NewtonFractal.plt

z^3 rgb generalized z^3 z^8-15z^4+16 z^8 colored sinz(z)

Halley Fractals generated in gnuplot using HalleyFractal.plt

z^3 z^3 z^8 z^8 zoom

Householder Fractals generated in gnuplot using HouseholderFractal.plt

z^3 z^3 z^8 z^8 zoom

Laguerre Fractals generated in gnuplot using LaguerreFractal.plt

z^3-1 z^3-1color z^8+15z^4-16 z^8+15z^4-16general z^8+15z^4-16zoom z^8+15z^4-16color

Newton's Method visualizations created using PlotNewtonHalley.r

interval converging diverging newton_gamma

Halley's Method created using PlotNewtonHalley.r

arctan psi trib

Taylor Series created using Taylor.m

arctan sec logtan

Complex Plots created using ComplexRoots.plt

z3-1 z^8+15z^4-16