### D.15.27 swalk_lib

Library:
  swalk.lib
Purpose:
  Sagbi Walk Conversion Algorithm
Author:
  Junaid Alam Khan junaidalamkhan@gmail.com

Overview:
  A library for computing the Sagbi basis of subalgebra through Sagbi walk algorithm.

Theory:
  The concept of SAGBI ( Subalgebra Analog to Groebner Basis for Ideals) is defined in [L. Robbiano, M. Sweedler: Subalgebra Bases, volume 42, volume 1430 of Lectures Note in Mathematics series, Springer-Verlag (1988),61-87]. The Sagbi Walk algorithm is the subalgebra analogue to the Groebner Walk algorithm which has been proposed in [S. Collart, M. Kalkbrener and D.Mall: Converting bases with the Grobner Walk. J. Symbolic Computation 24 (1997), 465-469].

Procedures:

> D.15.27.1 swalk |  | Sagbi basis of subalgebra via Sagbi walk algorithm
> D.15.27.2 rswalk |  | Sagbi basis of subalgebra via Random Sagbi Walk Algorithm

See also: grwalk_lib; rwalk_lib.

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