Problem 965. False position (linear interpolation) method of finding a root.

Created by Robert Canfield
Appears in Combinatorics II

Difficulty:Rate

Solve Later
Add To GroupÃ‚

Test the false position algorithm described in Chapter 5 of Steven C. Chapra's textbook, Applied Numerical Methods with MATLAB for Engineers and Scientists. The first test case uses the following problem on the interval [1 3].
f(x)=x^2-4=0
The first test will be a single iteration of false position. Other tests for varying termination criteria, intervals, and other functions will be added later.

Solve

Solution Stats

50 Solutions
23 Solvers

Last Solution submitted on Apr 28, 2024

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Richard Zapor on 3 Oct 2012

A link to the "false position method" can be placed in the Challenge description.
The syntax is .

I found the algorithm at http://math.fullerton.edu/mathews/n2003/regulafalsi/RegulaFalsiProof.pdf

will create a link with a name. Spaces before the < and after the > are needed.

Rafael S.T. Vieira on 2 Nov 2020

The idea of the method is that the lower and upper bounds for x define a line. Wherever this line crosses the x-axis becomes our new estimate for the root (1st iteration is like the secant method). https://en.wikipedia.org/wiki/Regula_falsi

Rafael S.T. Vieira on 2 Nov 2020

This problem needs more test cases.

Solution Comments

Show comments

ANNOUNCEMENT

Registration Now Open for MathWorks AUTOMOTIVE CONFERENCE 2025

Hello Community, We're excited to announce that registration is now open for the...

Problem Recent Solvers23

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 965. False position (linear interpolation) method of finding a root.

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Registration Now Open for MathWorks AUTOMOTIVE CONFERENCE 2025

Problem Recent Solvers23

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Problem 965. False position (linear interpolation) method of finding a root.

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Registration Now Open for MathWorks AUTOMOTIVE CONFERENCE 2025

Problem Recent Solvers23

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Players