Difference between revisions of "ApCoCoA-1:DA.PseudoReduce"

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m (ApCoCoA:Diffalg.PseudoReduce moved to ApCoCoA:DA.PseudoReduce: To comply with style principles.)
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DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials.
 
DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials.
 
<itemize>
 
<itemize>
<item>@param F Differential polynomial for which to compute the pseudo normal.</item>
+
<item>@param <em>F</em> Differential polynomial for which to compute the pseudo normal.</item>
<item>@param G List of differential polynomials wrt. which the normal form of F has to be computed.</item>
+
<item>@param <em>G</em> List of differential polynomials wrt. which the normal form of F has to be computed.</item>
 
<item>@return The pseido normal form of F wrt. G.</item>
 
<item>@return The pseido normal form of F wrt. G.</item>
 
</itemize>
 
</itemize>
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</types>
 
</types>
 
<see>DA.DiffTO</see>
 
<see>DA.DiffTO</see>
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<key>PseudoReduce</key>
 
<key>PseudoReduce</key>
 
<key>DA.PseudoReduce</key>
 
<key>DA.PseudoReduce</key>

Revision as of 11:10, 23 April 2009

DA.PseudoReduce

Calculate a pseudo normal form of a differential polynomial.

Syntax

DA.PseudoReduce(F:POLY, G:LIST):POLY

Description

DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials.

  • @param F Differential polynomial for which to compute the pseudo normal.

  • @param G List of differential polynomials wrt. which the normal form of F has to be computed.

  • @return The pseido normal form of F wrt. G.

Example

Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]);
-------------------------------
-3x[1,0]
-------------------------------

DA.DiffTO