Proposal of Multivariate Polynomial Arithmetic in a Specified Width of High- or Low-Exponents

Author:

Sasaki Tateaki1,Sanuki Masaru2,Inaba Daiju3

Affiliation:

1. Univ. of Tsukuba,Ibaraki,Japan,305-8571

2. Univ. of Tsukuba,Faculty of Medicine,Ibaraki,Japan,305-8571

3. Mathematics Certification Inst. of Japan,Tokyo,Japan,110-0005

Publisher

IEEE

Reference15 articles.

1. Non-modular computation of polynomial GCDS using trial division

2. A theory and an algorithm for computing sparse multivariate polynomial remainder sequence;sasaki;Computer Algebra in Scientific Computing,2018

3. Simple relation between the lowest-order element of ideal $\langle{G, H}\rangle$ and the last element of polynomial remainder sequence;sasaki;SYNASC 2017 IEEE Conference Publishing Services,0

4. Computing the lowest order element of the elimination ideal of multivariate polynomial system by using remainder sequence;sasaki;SYNASC 2018 IEEE Conference Publishing Services,0

5. An Attempt to Enhance Buchberger's Algorithm by Using Remainder Sequences and GCD Operation

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