A Method for Solving Polynomial Equations by Continued Fractions

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Abstract

A method for the approximation of all the real roots of an n-order polynomial equation is developed. It is assumed that intervals containing the solutions are known. Bilinear transformations are used to approximate the solution. Convergence is achieved.

Original languageEnglish
Pages (from-to)1093-1097
Number of pages5
JournalIEEE Transactions on Computers
VolumeC-23
Issue number10
DOIs
StatePublished - Oct 1974

Keywords

  • Bilinear transformation
  • continued fractions
  • quadratic equation
  • Riccati equation
  • selection rules

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