MATLAB: How to approximate polynomial

MATLABpolynomial

P =((8700286382685963*x1)/9007199254740992 - (4662469420320393*x2)/18014398509481984)^2 + ((2331234710160197*x1)/9007199254740992 - (8700286382685971*x2)/9007199254740992)^2

I have a polynomial P, i want to get an expression in which this expression is approximated to 2 digits after decimal.

Best Answer

P=vpa(P,3)

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MATLAB: How to write polynomial code

syms x
p(x)=x^2+2*x-3;%as an example
Coeff=coeffs(p(x))';
Coeff=wrev(Coeff);
Roots=roots(Coeff);%roots
Degree=length(Coeff)-1;%degrees
disp(p^3)%calculates p^3
x=0:0.1:1;
plot(x,p(x));grid on;%plots

MATLAB: Polynomial with function handle.

You defined the nested poly() function with this signature

function polynomial = poly(ii); % single input

But then you are calling it like this

poly(x,ii-1); % two inputs

Also, the task only requires you not to use for-loop. It does not say to do it with recursion. Following is a more intuitive loop-free approach.

function fh = get_polynomial_handle(p)
    function polynomial = poly(x)
        polynomial = sum(p.*x.^(0:numel(p)-1));
    end    
    fh = @poly;
end

Best Answer

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MATLAB: How to write polynomial code

MATLAB: Polynomial with function handle.

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