### 11.3.3 An upper bound for the positive real roots of a polynomial

The posubLMQ command uses the Local Max Quadratic (LMQ) Akritas-Strzebonski-Vigklas algorithm to find upper bounds for the positive real roots of polynomials.

- posubLMQ takes P, a polynomial.
- posubLMQ(P) returns a (non-optimal) upper bound for the positive real roots of P.

#### Examples

posubLMQ(x^3-7*x+7)

4 |  |  |  |  |  |  |  |  |  |

posubLMQ(x^5+2*x^4-6*x^3-7*x^2+7*x+7)

4 |  |  |  |  |  |  |  |  |  |

posubLMQ(x^3-x^2-2*x+2)

3 |  |  |  |  |  |  |  |  |  |