A NEW ALGORITHM FOR COMPUTING SAGBI BASES UP TO AN ARBITRARY DEGREE

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Fakouri Shahnaz; Rahmany Sajjad; Basiri Abdolali

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

A NEW ALGORITHM FOR COMPUTING SAGBI BASES UP TO AN ARBITRARY DEGREE

Author(s)

Fakouri Shahnaz | Rahmany Sajjad | Basiri Abdolali

Keywords

SAGBI BASIS

SAGBI ALGORITHM

POLYNOMIAL ALGEBRA

HOMOGENEOUS POLYNOMIAL

Abstract

WE PRESENT A NEW ALGORITHM FOR COMPUTING A SAGBI BASIS UP TO AN ARBITRARY DEGREET FOR A SUBALGEBRA GENERATED BY A SET OF HOMOGENEOUS POLYNOMIALS. OUR IDEA IS BASED ON LINEAR ALGEBRA METHODS WHICH CAUSE A LOW LEVEL OF COMPLEXITY AND COMPUTATIONAL COST. WE THEN USE IT TO SOLVE THE MEMBERSHIP PROBLEM IN SUBALGEBRAS.

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APA: Copy

Fakouri, Shahnaz, Rahmany, Sajjad, & Basiri, Abdolali. (2016). A NEW ALGORITHM FOR COMPUTING SAGBI BASES UP TO AN ARBITRARY DEGREE. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938550/en

Vancouver: Copy

Fakouri Shahnaz, Rahmany Sajjad, Basiri Abdolali. A NEW ALGORITHM FOR COMPUTING SAGBI BASES UP TO AN ARBITRARY DEGREE. 2016. Available from: https://sid.ir/paper/938550/en

IEEE: Copy

Shahnaz Fakouri, Sajjad Rahmany, and Abdolali Basiri, “A NEW ALGORITHM FOR COMPUTING SAGBI BASES UP TO AN ARBITRARY DEGREE,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938550/en

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