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 | |||||||||
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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: | INVALID USER | |||||||||
Deposited On: | 24 Dec 2015 19:43 | |||||||||
Last Modified: | 10 Nov 2021 23:14 |
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