TY - GEN
A1 - Wolf, Thomas
A1 - Amadi, Chimaobi
T1 - Rational Solutions of Underdetermined Polynomial Equations
N2 - In this paper we report on an application of computer algebra in which mathematical puzzles are generated of a type that had been widely used in mathematics contests by a large number of participants worldwide.
The algorithmic aspect of our work provides a method to compute rational solutions of single polynomial equations that are typically large with 10^2 ... 10^5 terms and that are heavily underdetermined.
It was possible to obtain this functionality by adding a number of new modules for a new type of splitting of equations to the existing package CRACK that is normally used to solve polynomial algebraic and differential systems of equations.
T3 - ZIB-Report - 17-33
KW - underdetermined polynomial systems, rational solutions, computer algebra, recreational mathematics
Y1 - 2017
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/6448
UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-64488
SN - 1438-0064
ER -