Calculating machine solution of quadratic and cubic equations by the odd number method
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Authors
Bleick, W.E.
Subjects
Advisors
Date of Issue
1947-10
Date
Publisher
American Mathematical Society
Language
Abstract
Eastlack has published a method for the solution of quadratic equations by means of a calculating machine. His process is extended here to the solution of cubic equations. In the ordinary manual operation of calculating machines, the use of the method of solving cubic equations presented here will not be found to be as convenient as the use of certain other methods, such as that of Newton. The method is described here, however, in the belief that it may find application in large scale, automatic computing machines (such as the IBM Sequence Controlled Calculator or the ENIAC) where a large number of operations is not objectionable, provided that the operations are repetitive and sufficiently simple. We limit our discussion to real roots. Eastlack's method of solving quadratic equations is first reviewed so that the extension of the method to cubic equations may be clearer.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.2307/2002231
Series/Report No
Department
Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
4 p.
Citation
W.E. Bleick, "Calculating machine solution of quadratic and cubic equations by the odd number methods," Mathematical Tables and Other Aids to Computation, v.2, no.20 (October 1947), pp. 321-324.
Bleick, Walter E. "Calculating machine solution of quadratic and cubic equations by the odd number method." Mathematical Tables and Other Aids to Computation 2.20 (1947): 321-324.
Bleick, Walter E. "Calculating machine solution of quadratic and cubic equations by the odd number method." Mathematical Tables and Other Aids to Computation 2.20 (1947): 321-324.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.