Finding Roots

  • Vilmos Komornik
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


Since Descartes’s groundbreaking work the exact or numerical solution of polynomial equations has become a frequent task in analytical geometry. We also have to find the roots of orthogonal polynomials for the implementation of the Gauss rules of numerical integration. Based on his differential calculus, Newton invented a powerful method for localizing the roots of twice differentiable functions.


Gauss Rule Frequent Task Orthogonal Polynomials Sturm Sequence Consecutive Polynomials 
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Copyright information

© Springer-Verlag London Ltd. 2017

Authors and Affiliations

  • Vilmos Komornik
    • 1
  1. 1.Department of MathematicsUniversity of StrasbourgStrasbourgFrance

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