Using Secant Parabolas to Find Roots

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Yajun Yang
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Sheldon P. Gordon
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Almost all root finding methods use linear functions to calculate the next approximation to a real root. The authors introduce a method based on using parabolas through three points and use one of the two roots via the quadratic formula to identify the following approximation.

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Contributor Notes

Yajun Yang, yangy@farmingdale.edu, is a professor of mathematics at Farmingdale State College in East Farmingdale, New York. Her research interests include numerical analysis, statistical analysis, and applications of mathematics. She is also interested in making precalculus and calculus more meaningful to students and in incorporating technology into the classroom.

Sheldon P. Gordon, gordonsp@farmingdale.edu, is SUNY Distinguished Teaching Professor at Farmingdale State College. He has been deeply involved in efforts to renew the mathematics curriculum at all levels and is the author of about a dozen books and more than two hundred articles.

(Corresponding author is Yang yangy@farmingdale.edu)
(Corresponding author is Gordon gordonsp@farmingdale.edu)
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