Algebraic factoring and rational function integration
- 1 January 1976
- proceedings article
- Published by Association for Computing Machinery (ACM)
- p. 219-226
- https://doi.org/10.1145/800205.806338
Abstract
This paper presents a new, simple, and efficient algorithm for factoring polynomials in several variables over an algebraic number field. The algorithm is then used iteratively, to construct the splitting field of a polynomial over the integers. Finally the factorization and splitting field algorithms are applied to the problem of determining the transcendental part of the integral of a rational function. In particular, a constructive procedure is given for finding the least degree extension field in which the integral can be expressed.This publication has 0 references indexed in Scilit: