Polynomial Factorization

René Thiemann, A. Yamada
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引用次数: 1

Abstract

This invited talk presents some developments in the history of factoring polynomials. We restrict our discussion to univariate polynomials over the integers or the integers modulo a prime, and do not strive for completeness. In the beginning was root-finding. The Babylonians had numerical algorithms for solving quadratic equations, around 1900–1600 BC. Somewhat later, they also solved cubic equations of the form ax + bx = c numerically, and had mastered quadratics symbolically. For example, to solve
多项式因式分解
本次特邀演讲介绍了多项式因式分解历史上的一些发展。我们将讨论限制在整数或整数模a素数的单变量多项式上,并且不力求完备性。一开始是找根。巴比伦人在公元前1900-1600年左右就有了求解二次方程的数值算法。后来,他们又用数值方法解出了ax + bx = c形式的三次方程,并从符号上掌握了二次方程。例如,解
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