nonlinear_regula_falsi

nonlinear_regula_falsi, demonstrates how a root of a function f(x) can be approximated using the regula falsi or modified regula falsi methods.

The notes:

• nonlinear_regula_falsi.pdf
• nonlinear_regula_falsi.tex

Scripts and functions:

• cubic.m, evaluates the cubic function.
• cubic_plot.m, plots the cubic function.
• cubic_regula_falsi.m, uses regula_falsi() to find a zero of cubic().
• cubic_regula_falsi2.m, uses regula_falsi2() to find a zero of cubic().
• cubic_regula_falsi3.m, uses regula_falsi3() to find a zero of cubic().
• hump.m, evaluates the hump function.
• hump_plot.m, plots the hump function.
• hump_regula_falsi.m, uses regula_falsi() to find a zero of hump().
• hump_regula_falsi2.m, uses regula_falsi2() to find a zero of hump().
• hump_regula_falsi3.m, uses regula_falsi3() to find a zero of hump().
• kepler.m, evaluates the Kepler function.
• kepler_plot.m, plots the Kepler function.
• kepler_regula_falsi.m, uses regula_falsi() to find a zero of kepler().
• kepler_regula_falsi2.m, uses regula_falsi2() to find a zero of kepler().
• kepler_regula_falsi3.m, uses regula_falsi3() to find a zero of kepler().
• lambert.m, evaluates the Lambert function.
• lambert_plot.m, plots the Lambert function.
• lambert_regula_falsi.m, uses regula_falsi() to find a zero of lambert().
• lambert_regula_falsi2.m, uses regula_falsi2() to find a zero of lambert().
• lambert_regula_falsi3.m, uses regula_falsi3() to find a zero of lambert().
• regula_falsi.m, seeks a root of a function using the regula falsi method.
• regula_falsi2.m, seeks a root of a function using the regula falsi method, modified to take bisection steps if needed.
• regula_falsi3.m, seeks a root of a function using the regula falsi method, modified using the Illinois algorithm.
• trig.m, evaluates the trig function.
• trig_plot.m, plots the trig function.
• trig_regula_falsi.m, uses regula_falsi() to find a zero of trig().
• trig_regula_falsi2.m, uses regula_falsi2() to find a zero of trig().
• trig_regula_falsi3.m, uses regula_falsi3() to find a zero of trig().
• wiggle.m, evaluates the wiggle function.
• wiggle_plot.m, plots the wiggle function.
• wiggle_regula_falsi.m, uses regula_falsi() to find a zero of wiggle().
• wiggle_regula_falsi2.m, uses regula_falsi2() to find a zero of wiggle().
• wiggle_regula_falsi3.m, uses regula_falsi3() to find a zero of wiggle().

Text files:

• cubic_regula_falsi.txt, the output from a run of cubic_regula_falsi.m.
• hump_reguli_falsi.txt, the output from a run of hump_regula_falsi.m.
• kepler_regula_falsi.txt, the output from a run of kepler_regula_falsi.m.
• lambert_regula_falsi.txt, the output from a run of lambert_regula_falsi.m.
• regula_falsi_pseudocode.txt, pseudocode for regula_falsi.
• trig_regula_falsi.txt, the output from a run of trig_regula_falsi.m.
• wiggle_regula_falsi.txt, the output from a run of wiggle_regula_falsi.m.

Images:

• cubic.png
• hump.png
• kepler.png
• lambert.png
• regula_falsi.png, illustrates an issue for convex functions.
• trig.png
• wiggle.png