Top
Back: Di Biase and Urbanke
Forward: Buchberger algorithm
FastBack: Gauss-Manin connection
FastForward: Buchberger algorithm
Up: Algorithms
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano

The algorithm of Bigatti, La Scala and Robbiano (see [BLR98]) combines the ideas of the algorithms of Pottier and of Hosten and Sturmfels. The computations are performed on a graded ideal with one auxiliary variable $u$ and one supplementary generator $x_1\cdot\ldots\cdot x_n - u$ (instead of the generator $t\cdot x_1\cdot\ldots\cdot x_n -1$ in the algorithm of Pottier). The algorithm uses a quite unusual technique to get rid of the variable $u$ again.

There is another algorithm of the authors which tries to parallelize the computations (but which is not implemented in this library).

Top Back: Di Biase and Urbanke Forward: Buchberger algorithm FastBack: Gauss-Manin connection FastForward: Buchberger algorithm Up: Algorithms Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4-0-3, 2016, generated by texi2html.