Zeros of a Polynomial
Find the zeros, if any, of a given polynomial.
## S3 method for class 'polynomial' solve(a, b, ...)
a |
A polynomial object for which the zeros are required. |
b |
a numeric value specifying an additional intercept. If
given, the zeros of |
... |
Not used by this method. |
This is a method for the generic function solve.
The zeros are found as the eigenvalues of the companion matrix, sorted according to their real parts.
A numeric vector, generally complex, of zeros.
p <- polynomial(6:1) p ## 6 + 5*x + 4*x^2 + 3*x^3 + 2*x^4 + x^5 pz <- solve(p) pz ## [1] -1.49180+0.0000i -0.80579-1.2229i -0.80579+1.2229i ## [4] 0.55169-1.2533i 0.55169+1.2533i ## To retrieve the original polynomial from the zeros: poly.calc(pz) ## Warning: imaginary parts discarded in coercion ## 6 + 5*x + 4*x^2 + 3*x^3 + 2*x^4 + x^5
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