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<H1>EPSDenseHessenberg</H1>
Computes the Hessenberg form of a dense matrix. 
<H3><FONT COLOR="#883300">Synopsis</FONT></H3>
<PRE>
#include "slepceps.h" 
PetscErrorCode EPSDenseHessenberg(PetscInt n_,PetscInt k,PetscScalar *A,PetscInt lda_,PetscScalar *Q)
</PRE>
Not Collective
<P>
<H3><FONT COLOR="#883300">Input Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>n     </B></TD><TD> - dimension of the matrix 
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>k     </B></TD><TD> - first active column
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>lda   </B></TD><TD> - leading dimension of A
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Input/Output Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>A  </B></TD><TD> - on entry, the full matrix; on exit, the upper Hessenberg matrix (H)
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>Q  </B></TD><TD> - on exit, orthogonal matrix of vectors A = Q*H*Q'
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Notes</FONT></H3>
Only active columns (from k to n) are computed.
<P>
Both A and Q are overwritten.
<P>
This routine uses LAPACK routines xGEHRD and xORGHR/xUNGHR.
<P>

<P>
<H3><FONT COLOR="#883300">See Also</FONT></H3>
 <A HREF="../EPS/EPSDenseSchur.html#EPSDenseSchur">EPSDenseSchur</A>(), <A HREF="../EPS/EPSSortDenseSchur.html#EPSSortDenseSchur">EPSSortDenseSchur</A>(), <A HREF="../EPS/EPSDenseTridiagonal.html#EPSDenseTridiagonal">EPSDenseTridiagonal</A>()
<BR><P><B><FONT COLOR="#883300">Location: </FONT></B><A HREF="../../../src/eps/interface/dense.c.html#EPSDenseHessenberg">src/eps/interface/dense.c</A>
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