Polynomial transformations of Tschirnhaus, Bring and Jerrard

Authors:
Victor S. Adamchik;David J. Jeffrey
Affiliations:
Carnegie Mellon University, Pittsburgh, PA;The University of Western Ontario, London, Ontario, Canada
Venue:
ACM SIGSAM Bulletin
Year:
2003

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Abstract

Tschirnhaus gave transformations for the elimination of some of the intermediate terms in a polynomial. His transformations were developed further by Bring and Jerrard, and here we describe all these transformations in modern notation. We also discuss their possible utility for polynomial solving, particularly with respect to the Mathematica poster on the solution of the quintic.