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| What is the command for minimal standard basis? https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=2101 |
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| Author: | StdBoy [ Sun May 27, 2012 7:03 am ] |
| Post subject: | What is the command for minimal standard basis? |
What is the command for minimal standard basis? After using std, which command to use to calculate standard basis, instead of using one command such as minstd  already know standard basis algorithm,would like to know the algorithm of minimal standard basis |
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| Author: | hannes [ Mon Jun 04, 2012 2:39 pm ] |
| Post subject: | Re: What is the command for minimal standard basis? |
What do you meean by "minimal standard basis"? - minimal in number of element: by construction each result of groeber/std/slimgb is minimal in that sense - completely reduced: set option(redTail,redSB). In the algorithm: use complete reduction instead of reduction of leading terms - minimal as a generating set of the ideal: this is usually not a standard basis any more! The algorithm: use syzygies with constant parts to remove the corresponfding generator in the input set. |
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| Author: | Guest [ Sun Jun 24, 2012 8:36 am ] |
| Post subject: | Re: What is the command for minimal standard basis? |
i implemented syz and std in F#, now i know the algorithm thanks |
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