Some examples for solving systems of algebraic equations by calculating groebner bases-Reference-Cited by-同舟云学术

Some examples for solving systems of algebraic equations by calculating groebner bases

Published:1986-03 Issue:1 Volume:2 Page:83-98
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Boege W.,Gebauer R.,Kredel H.

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference24 articles.

1. Ein Algorithmus zum Auflinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal;Buchberger,1965

2. Ein algorithmisehes Kriterimn fuer die Loesbarkeit eines algebraischen Gleichungssystems;Buehberger;Aequ. Math.,1970

3. Groebner Bases: An Algorithmic Method in Polynomial Ideal Theory;Buchberger,1985

4. An application of the Runge Kutta space;Butcher;BIT Computer Sciem'e Numerical Mcuhematies,1984

5. SAC-2--Symbolie and Algebraic Computation version 2, a computer algebra system, ALDES--ALgorithm DEScription language;Collins;ACM SIGSAM Bulletin,1980

Cited by 62 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Combining Uneliminated Algebraic Formulations With Sparse Linear Solvers to Increase the Speed and Accuracy of Homotopy Path Tracking for Kinematic Synthesis;Journal of Computing and Information Science in Engineering;2022-09-15

2. Bifurcation manifolds in predator–prey models computed by Gröbner basis method;Mathematical Biosciences;2019-06

3. An FGLM-like algorithm for computing the radical of a zero-dimensional ideal;Journal of Algebra and Its Applications;2018-01

4. Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation;Computer Algebra in Scientific Computing;2015

5. MIXED VOLUME COMPUTATION IN PARALLEL;Taiwanese Journal of Mathematics;2014-01-01