Algorithm for computing differential char sets efficiently

Cancan M., Afzal F., Maqbool A., Afzal D.

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, cilt.23, sa.6, ss.1203-1216, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/09720529.2020.1809114
  • Dergi Adı: JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1203-1216
  • Anahtar Kelimeler: Reduction, Differential char set, Differential Pseudo division, Trinangularize, Basic sets
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In order to triangularize differential polynomial sets and systems, we can use char sets method by Ritt and Wu. This method uses differential pseudo division for elimination of variables successively. In this paper, we have proved that Differential Pseudo division can be replaced by important reductions for computing differential char sets. An algorithm is presented for computing the differential char sets efficiently. This algorithmic scheme has been executed with precise admissible differential reductions. Primary results demonstrate that this new algorithm accomplishes better results than char set algorithm that are based on differential Pseudo division.