A Method for Solving Polynomial Equations by Continued Fractions

Amnon Bracha-Barak

doi:10.1109/T-C.1974.223809

A Method for Solving Polynomial Equations by Continued Fractions

Amnon Bracha-Barak

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	English
Pages (from-to)	1093-1097
Number of pages	5
Journal	IEEE Transactions on Computers
Volume	C-23
Issue number	10
DOIs	https://doi.org/10.1109/T-C.1974.223809
State	Published - Oct 1974

Keywords

Bilinear transformation
Riccati equation
continued fractions
quadratic equation
selection rules

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10.1109/T-C.1974.223809

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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.",

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author = "Amnon Bracha-Barak",

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KW - Bilinear transformation

KW - Riccati equation

KW - continued fractions

KW - quadratic equation

KW - selection rules

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A Method for Solving Polynomial Equations by Continued Fractions

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Keywords

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