# Sturm's Theorem for Polynomials

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Let be the number of real roots of an algebraic equation with real coefficients whose real roots are simple over an interval and are not or . Then , the difference between the number of sign changes of the Sturm chain evaluated at and at .

[more]
Contributed by: Izidor Hafner (January 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

## Permanent Citation

"Sturm's Theorem for Polynomials"

http://demonstrations.wolfram.com/SturmsTheoremForPolynomials/

Wolfram Demonstrations Project

Published: January 11 2017