View License

Download apps, toolboxes, and other File Exchange content using Add-On Explorer in MATLAB.

» Watch video

Highlights from
Newton-Raphson Method for 2 variables

5.0 | 2 ratings Rate this file 66 Downloads (last 30 days) File Size: 1.91 KB File ID: #27120 Version: 1.0

Newton-Raphson Method for 2 variables



Newton method for non-linear system of 2 variables (also solves linear system)

| Watch this File

File Information

This program calculates the roots of a system of non-linear equations in 2 variables. This a script file and you only have to write in the command windows ">>newton2v2", and the program ask for the functions and other elements that are necessary. What I mean "quotes" is single quotes,like this: ' .
I will be grateful for any comment.
I also have this program for 3, 4 ,5 variables and can be extended to any number of variables

MATLAB release MATLAB 6.1 (R12.1)
Tags for This File   Please login to tag files.
Please login to add a comment or rating.
Comments and Ratings (9)
23 Mar 2014 Sandeep Soni

When i am running your code for following equations,roots are not correct .Kindly help me.
f1(x,y) = '(((1+2*x^2)/(1-x^2))+(4*(1-2*y^2)*sqrt(1-x^2)*(2+x^2))/((1-x^2)*(1-y^2)^0.5*(2+y^2)))'

f2(x,y) = '(((4*(y*(2+x^2)*(1-x^2)*sqrt(pi^2*(1-y^2)+4*y^2)))/(x*(2+y^2)*(1-y^2)*sqrt(pi^2*(1-x^2)+4*x^2))-1))'

The initial values are xo = 0.10 and yo = 0.10
The maximun number of iteration is k = 100
and the tolerance is: 1.00e-007

The Root are:
x = 5.7355e+054 +5.3264e+053i
y = 5.7207e+054 +5.3127e+053i

Otherwise your code very excellent.

Sandeep Soni,

15 Dec 2011 Saqib

Saqib (view profile)

15 Dec 2011 Saqib

Saqib (view profile)


can u plz post the m file code for 4 variables?

Comment only
20 Nov 2011 Vagelis Kounis

EMRE before running the program try
>> syms x y

diff(f,n) means give me the nth derivative of f, and thats why it needs to be integer..

Comment only
18 Nov 2011 Ektor

Ektor (view profile)

The first function? (between quotes) f1(x,y) = x+y
The second function? (between quotes)f2(x,y) = 2*x+y
??? Error using ==> diff
Difference order N must be a positive integer scalar.

Error in ==> newton2v2 at 24
gradf1 = [diff(f1name,'x') diff(f1name,'y')] ;

Why is this happening?

Comment only
12 Oct 2011 Emre

Emre (view profile)

can you give any input examples?

Comment only
12 Oct 2011 Emre

Emre (view profile)

I can not enter my functions, it says
"??? Error using ==> input
Undefined function or variable 'x'.

Error in ==> Untitled at 22
f1name = input('The first function? (between quotes) f1(x,y) = ');"
please help

Comment only
31 Mar 2011 xingyu

xingyu (view profile)

Hi where can I get the propram for 4 variables ?

Comment only
25 Feb 2011 chanchal gupta

thanx for this code.....

Comment only

Contact us