A lower bound for the positive real roots of a polynomial: poslbdLMQ

### 5.34.6 A lower bound for the positive real roots of a polynomial: poslbdLMQ

The poslbdLMQ command takes one argument, a polynomial.
poslbdLMQ returns a (non-optimal) lower bound for the positive real roots of the polynomial using the Local Max Quadratic (LMQ) Akritas-Strzebonski-Vigklas algorithm.
Input:

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

Output:

1/2

Input:

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

Output:

1/2

Input:

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

Output:

1/2