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Methods of Design-Oriented Analysis: The Quadratic Equation Revisited

Middlebrook, R. D. (1992) Methods of Design-Oriented Analysis: The Quadratic Equation Revisited. In: Twenty-Second Annual conference Frontiers in Education. Proceedings. IEEE , Piscataway, NJ, pp. 95-102. ISBN 0-7803-0832-8. https://resolver.caltech.edu/CaltechAUTHORS:20151224-113812544

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Abstract

The conventional formula for quadratic roots suffers from two defects: it is High Entropy, and it is computationally inaccurate when two real roots are widely separated. An improved formula is suggested that overcomes both defects. Both roots are expressed in terms of a single parameter F that contains the radical sign and is a unique function of the single parameter Q that determines the nature of the roots. Both roots are computed in terms of F with the same computational accuracy, and the Low Entropy format exposes the useful design-oriented result that, for well-separated real roots, F approaches unity so that the radical disappears and both roots reduce to simple ratios of the original quadratic coefficients.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/FIE.1992.683365DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=683365PublisherArticle
Additional Information:© 1992 IEEE. Session 12B5.
DOI:10.1109/FIE.1992.683365
Record Number:CaltechAUTHORS:20151224-113812544
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151224-113812544
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63245
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:24 Dec 2015 19:43
Last Modified:10 Nov 2021 23:14

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