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   <div id="version" align=right><b>petsc-3.14.5 2021-03-03</b></div>
   <div id="bugreport" align=right><a href="mailto:petsc-maint@mcs.anl.gov?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: petsc-3.14.5 v3.14.5 docs/manualpages/DT/PetscDTAltVWedge.html "><small>Report Typos and Errors</small></a></div>
<A NAME="PetscDTAltVWedge"><H1>PetscDTAltVWedge</H1></A>
Compute the wedge product of a j-form and a k-form, giving a (j+k) form 
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscdt.h" 
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../DT/PetscDTAltVWedge.html#PetscDTAltVWedge">PetscDTAltVWedge</A>(<A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> N, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> j, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> k, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> *a, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> *b, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> *awedgeb)
</PRE>
<H3><FONT COLOR="#CC3333">Input Arguments</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>N </B></TD><TD>- the dimension of the vector space, N &gt;= 0
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>j </B></TD><TD>- the degree j of the j-form a, 0 &lt;= j &lt;= N
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>k </B></TD><TD>- the degree k of the k-form b, 0 &lt;= k &lt;= N and 0 &lt;= j+k &lt;= N
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>a </B></TD><TD>- a j-form, size [N choose j]
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>b </B></TD><TD>- a k-form, size [N choose k]
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Arguments</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>awedgeb </B></TD><TD>- the (j+k)-form a wedge b, size [N choose (j+k)]: (a wedge b)(v_1,...,v_{j+k}) = \sum_{s} sign(s) a(v_{s_1},...,v_{s_j}) b(v_{s_{j+1}},...,v_{s_{j+k}}),
where the sum is over permutations s such that s_1 &lt; s_2 &lt; ... &lt; s_j and s_{j+1} &lt; s_{j+2} &lt; ... &lt; s_{j+k}.
</TD></TR></TABLE>
<P>

<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
 <A HREF="../DT/PetscDTAltV.html#PetscDTAltV">PetscDTAltV</A>, <A HREF="../DT/PetscDTAltVWedgeMatrix.html#PetscDTAltVWedgeMatrix">PetscDTAltVWedgeMatrix</A>(), <A HREF="../DT/PetscDTAltVPullback.html#PetscDTAltVPullback">PetscDTAltVPullback</A>(), <A HREF="../DT/PetscDTAltVPullbackMatrix.html#PetscDTAltVPullbackMatrix">PetscDTAltVPullbackMatrix</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>intermediate<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/dm/dt/interface/dtaltv.c.html#PetscDTAltVWedge">src/dm/dt/interface/dtaltv.c</A>
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