Homework #3

solver	initial guess(es)	ea	number of iterations
falsepos	18.9189	0.2152	50.0000
incsearch	17.9474	0.0000	9.0000
newtraph	0	0	49.0000
mod_secant	17.9474	0.0000	4.0000

Description

func/hw3

Contains all functions used for Homework #3.

ME3255_HW3_roots.m

Finds the roots and compares the iterations required for each function.

ME3255_HW3_convergance.m

Creates the convergance plot be repeatedly calling to the various solvers.

convergance4functions.png

The plot ouput by ME3255_HW3_convergance.m

Divergance

x_i = .2

|number of iterations| approximate error * 10e7| root | | --- | --- | --- | --- | |1|0.0000| -0.1116| |2|0.0000| -0.0212| |3|0.0002| -0.0009| |4|0.0058| -0.0000| |5|3.3152| -0.0000|

Convergance

x_i = 2

|number of iterations| spproximate error| root | | --- | --- | --- | --- | |1|12.5000| 2.2857| |2| 5.2205| 2.4116| |3| 3.3683| 2.4957| |4| 2.4708| 2.5589| |5| 1.9397| 2.6095|

Homework #4

Description

func/hw4

Contains all functions used for Homework 4.

goldmin.m

The function described fully in lecture (taken from lecture 8 in ME3255S2017)

collar_potential_energy.m

The function created in part a. Calculates potential energy of the collar.

ME3255_HW4_mininumPE.m

The script used to run the goldmin function on collar_potential_energy.

rmh13011/roots_and_optimization

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