Sturm's Theorem with Endpoints Institutional Repository Document uri icon


  • Sturm's Theorem is a fundamental 19th century result relating the number of real roots of a polynomial $f$ in an interval to the number of sign alternations in a sequence of polynomial division-like calculations. We provide a short direct proof of Sturm's Theorem, including the numerically vexing case (ignored in many published accounts) where an interval endpoint is a root of $f$.

author list (cited authors)

  • Pbay, P., Rojas, J. M., & Thompson, D. C.

complete list of authors

  • P├ębay, Philippe||Rojas, J Maurice||Thompson, David C

publication date

  • August 2022