11.3.2 Exact bounds for positive real roots of a polynomial
The VAS_positive
command uses the Vincent-Akritas-Strzebonski algorithm to find intervals
containing the positive real roots of polynomials.
-
VAS_positive takes
P, a polynomial.
- VAS_positive(P) returns a list of
intervals which contain the positive real roots of P, where each
interval contains exactly one root.
Examples
|
| |
| ⎡
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎣ | | ⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎦ |
|
| | | | | | | | | | |
|
| VAS_positive(x^5+2*x^4-6*x^3-7*x^2+7*x+7) |
|
| |
| ⎡
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎣ | | ⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎦ |
|
| | | | | | | | | | |
|
| VAS_positive(x^3-x^2-2*x+2) |