Solution of Algebraic and Transcendental Equations on an Automatic Digital Computer

G. N. Lance

doi:10.1145/320954.320961

January 1, 1959Journal of the ACMOpen Access

Solution of Algebraic and Transcendental Equations on an Automatic Digital Computer

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Key Points

To establish and evaluate automated numerical methods for calculating roots of algebraic and transcendental equations using digital computing hardware.
Development of systematic numerical algorithms structured for automatic digital computer implementation.
Application of iterative root-finding techniques tailored to process polynomial and transcendental functions without manual intervention.
Demonstrated reliable automated computation of solutions for complex mathematical equations on early digital machines.
Established efficient iterative convergence procedures that minimize computational cycles during digital root extraction.

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Implication

Computational analysis demonstrates automated algorithms for solving algebraic and transcendental equations, highlighting efficient numerical techniques for digital systems.

Abstract

article Free AccessSolution of Algebraic and Transcendental Equations on an Automatic Digital Computer Author: G. N. Lance University of Southampton, England University of Southampton, EnglandView Profile Authors Info & Claims Journal of the ACMVolume 6Issue 1Jan. 1959 pp 97–101https://doi.org/10.1145/320954.320961Published:01 January 1959Publication History 8citation496DownloadsMetricsTotal Citations8Total Downloads496Last 12 Months32Last 6 weeks6 Get Citation AlertsNew Citation Alert added!This alert has been successfully added and will be sent to:You will be notified whenever a record that you have chosen has been cited.To manage your alert preferences, click on the button below.Manage my AlertsNew Citation Alert!

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G. N. Lance (1959) studied this question.

synapsesocial.com/papers/6a196f81c05413006f585512 https://doi.org/10.1145/320954.320961

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Solution of Algebraic and Transcendental Equations on an Automatic Digital Computer

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Solution of Algebraic and Transcendental Equations on an Automatic Digital Computer

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