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Compute the roots of a general nth-degree polynomial

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Jiapeng 2022-12-8

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https://ww2.mathworks.cn/matlabcentral/answers/1873587-compute-the-roots-of-a-general-nth-degree-polynomial

回答： Sam Chak 2022-12-8

采纳的回答： Sam Chak

A = [ ];

a = compan(A);

e = eig(a);

I am trying to find the roots of a general polynomial of degree n using the eigenvalues of the companion matrix. What statement should I use next？

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Walter Roberson 2022-12-8

If you are trying to find numeric roots then why not use roots()?

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Sam Chak 2022-12-8

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The following article shows you a few methods to find the roots of a polynomial.

https://www.mathworks.com/help/matlab/math/roots-of-polynomials.html

A = 1:2:7
A = 1×4
     1     3     5     7
a = compan(A)
a = 3×3
    -3    -5    -7
     1     0     0
     0     1     0
eig(a)
ans = 
  -2.1795 + 0.0000i
  -0.4102 + 1.7445i
  -0.4102 - 1.7445i
roots(A)
ans = 
  -2.1795 + 0.0000i
  -0.4102 + 1.7445i
  -0.4102 - 1.7445i

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