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Find Polynomial Intersections

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Find Polynomial Intersections

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19 Dec 2003 (Updated )

Find the intersections between 2 or more polynomials.

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Description

Given the coefficients of 2 or more polynomials, this program will return their intersection points be it real or imaginary and the full string representation of these polynomial equations. e.g. 'y=2*x^3+4*x^2+3'
Suitable for use with the MATLAB 'polyfit' function

MATLAB release MATLAB 6.0 (R12)
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Comments and Ratings (5)
08 Sep 2011 Lufuno Vhengani

This is nice, I used it first time and it worked.

02 Jul 2009 Edward

I can't get this code to work, I have solve() but I get an error even when using the supplied test function:

======================================================
Randomly generating coefficient values based on constraints
======================================================
-5
5 -3
======================================================
Solve the two polynomials using "solve_polynomials"
======================================================
??? Error using ==> str2num at 33
Requires string or character array input.

Error in ==> solve_polynomials at 115
intersection_coords = [intersection_coords; str2num(X(n).s),str2num(Y(n).s)];

Error in ==> test_solve_polynomials at 99
[intersection,real_intersection,complex_intersection,polystr] = ...

It would help me out a lot if it worked tho!

cheers

ed

07 May 2004 Andrea Johnson

Acutally, solve is part of the symbolic math toolbox which is not part of the core matlab package, I am unable to use this function as well...the alternate solution suggested would work for the intersection of two vectors (as would the function intersect), but not a poly structure, which just consists of the coefficients

11 Feb 2004 Alister Fong

For your information, 'solve' is a built-in matlab function. Please check the matlab documentations.

07 Feb 2004 Duane Hanselman

this function calls an unknown function named "solve", which renders this function unusable.
This function creates a string representation of the input polynomial row vectors.

For two polys can't this function be replaced by:

function x=polyintersect(p1,p2)
np1=length(p1);
np2=length(p2);
p=[zeros(1,np2-np1) p1]-[zeros(1,np1-np2) p2]; % find polynomial difference
x=roots(p); % zeros of difference are intersections????

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