function of roots
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I have another problem it says:
give the function whose roots are 4, -3, -2, 1/5 and 0.
should I use poly(x) or roots(x)?
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Jan
le 15 Août 2011
Does this question concern MATLAB? As far as I can see the polynomial with the shown roots can be created manually in some seconds.
Walter Roberson
le 15 Août 2011
According to the poly() documentation, it uses eigenvalues. It says,
It is possible to prove that poly(A) produces the coefficients in the characteristic polynomial of a matrix within roundoff error of A. This is true even if the eigenvalues of A are badly conditioned. The traditional algorithms for obtaining the characteristic polynomial, which do not use the eigenvalues, do not have such satisfactory numerical properties.
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Walter Roberson
le 15 Août 2011
roots() is to find the roots of a polynomial that has the given coefficients. The opposite of it is poly.
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