Difference between revisions of "ApCoCoA-1:BB.BBasis"
From ApCoCoAWiki
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</syntax> | </syntax> | ||
<description> | <description> | ||
| − | The function <tt>BBasis</tt> calls the ApCoCoAServer to compute | + | The function <tt>BBasis</tt> calls the ApCoCoAServer to compute the border basis of a zero dimensional ideal I. The input is a zero-dimensional ideal I. The output is a list of polynomials. |
| − | the border basis of a zero dimensional ideal I. | ||
<example> | <example> | ||
Use Q[x, y], DegLex; | Use Q[x, y], DegLex; | ||
| − | I := Ideal([x^2, xy + | + | I := Ideal([x^2, xy + y^2]); |
| − | BB := | + | BB := BBasis5(I); |
| + | -- CoCoAServer: computing Cpu Time = 0 | ||
| + | ------------------------------- | ||
| + | BB; | ||
| + | [xy + y^2, x^2, y^3, xy^2] | ||
| + | ------------------------------- | ||
</example> | </example> | ||
</description> | </description> | ||
| − | |||
<see>GBasis5, and more</see> | <see>GBasis5, and more</see> | ||
| − | + | <see>borderbasis.BorderBasis</see> | |
<types> | <types> | ||
<type>ideal</type> | <type>ideal</type> | ||
Revision as of 22:55, 7 November 2007
BBasis
border basis of a zero dimensional ideal
Syntax
BBasis(I:IDEAL):LIST
Description
The function BBasis calls the ApCoCoAServer to compute the border basis of a zero dimensional ideal I. The input is a zero-dimensional ideal I. The output is a list of polynomials.
Example
Use Q[x, y], DegLex; I := Ideal([x^2, xy + y^2]); BB := BBasis5(I); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- BB; [xy + y^2, x^2, y^3, xy^2] -------------------------------
