Tschirnhaus, Bring和jerard的多项式变换

SIGSAM Bull. Pub Date : 2003-09-01 DOI:10.1145/1093528.1093530

V. Adamchik, D. J. Jeffrey

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引用次数: 27

摘要

Tschirnhaus给出了消去多项式中一些中间项的变换。他的变换被Bring和Jerrard进一步发展，在这里我们用现代符号描述所有这些变换。我们还讨论了它们对多项式求解的可能效用，特别是关于数学海报上的五次方程的解。

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Polynomial transformations of Tschirnhaus, Bring and Jerrard

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.

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来源期刊

SIGSAM Bull.

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