@**inproceedings**{RISC3154,author = {K. Nabeshima},

title = {{A Speed-Up Algorithm for Computing Comprehensive Groebner Systems}},

booktitle = {{ISSAC 2007}},

language = {english},

abstract = {We introduce a new algorithm for computing comprehensive Groebner systems. There exists the Suzuki-Sato algorithm for computing comprehensive Groebner systems. The Suzuki-Sato algorithm often creates overmuch cells of the parameter space for comprehensive Groebner systems. Therefore the computation becomes heavy. However, by using inequations (``not equal zero''), we can obtain different cells. In many cases, this number of cells of parameter space is smaller than that of Suzuki-Sato's. Therefore, our new algorithm is more efficient than Suzuki-Sato's one, and outputs a nice comprehensive Groebner system. Our new algorithm has been implemented in the computer algebra system Risa/Asir. We compare the runtime of our implementation with the Suzuki-Sato algorithm and find our algorithm superior in many cases.
},

pages = {299--306},

publisher = {ACM-press},

isbn_issn = {978-1-59593-743-8},

year = {2007},

editor = {C. W. Brown},

refereed = {yes},

length = {8}

}