PM A SYSTEM FOR POLYNOMIAL MANIPULATION

作     者：COLLINS, GE 

作者机构：IBM Watson Research Center Yorktown Heights NY 

出 版 物：《COMMUNICATIONS OF THE ACM》 (美国计算机学会通讯)

年 卷 期：1966年第9卷第8期

页      面：578-&页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Computer algorithms Computer software IBM computers Polynomials Variables (Mathematics) Sorting (Electronic computers) 

摘      要：PM is an IBM 7094 program system far formal manipulation of polynomials in any number of variables, with Integral coefficients unrestricted in size. Some of the formal operations which can be performed by the system are sums, differences, products, quotients, derivatives, substitutions and greatest common divisors. PM is based on the REECO III list processing system, which is described and compared with the LISP and SLIP systems. The PM subroutines for arithmetic of large integers are described as constituting an independently useful subsystem. PM is compared with the ALPAK system in several respects including the chokes of canonical forms for polynomials. A new algorithm for polynomial greatest common divisor calculation is mentioned, and examples are included to illustrate its superiority. [ABSTRACT FROM AUTHOR]