.TH "sormr3.f" 3 "Tue Nov 14 2017" "Version 3.8.0" "LAPACK" \" -*- nroff -*-
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.SH NAME
sormr3.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBsormr3\fP (SIDE, TRANS, M, \fBN\fP, K, L, A, \fBLDA\fP, TAU, C, LDC, WORK, INFO)"
.br
.RI "\fBSORMR3\fP multiplies a general matrix by the orthogonal matrix from a RZ factorization determined by stzrzf (unblocked algorithm)\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine sormr3 (character SIDE, character TRANS, integer M, integer N, integer K, integer L, real, dimension( lda, * ) A, integer LDA, real, dimension( * ) TAU, real, dimension( ldc, * ) C, integer LDC, real, dimension( * ) WORK, integer INFO)"

.PP
\fBSORMR3\fP multiplies a general matrix by the orthogonal matrix from a RZ factorization determined by stzrzf (unblocked algorithm)\&.  
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\fBPurpose: \fP
.RS 4

.PP
.nf
 SORMR3 overwrites the general real m by n matrix C with

       Q * C  if SIDE = 'L' and TRANS = 'N', or

       Q**T* C  if SIDE = 'L' and TRANS = 'C', or

       C * Q  if SIDE = 'R' and TRANS = 'N', or

       C * Q**T if SIDE = 'R' and TRANS = 'C',

 where Q is a real orthogonal matrix defined as the product of k
 elementary reflectors

       Q = H(1) H(2) . . . H(k)

 as returned by STZRZF. Q is of order m if SIDE = 'L' and of order n
 if SIDE = 'R'.
.fi
.PP
 
.RE
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\fBParameters:\fP
.RS 4
\fISIDE\fP 
.PP
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          SIDE is CHARACTER*1
          = 'L': apply Q or Q**T from the Left
          = 'R': apply Q or Q**T from the Right
.fi
.PP
.br
\fITRANS\fP 
.PP
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          TRANS is CHARACTER*1
          = 'N': apply Q  (No transpose)
          = 'T': apply Q**T (Transpose)
.fi
.PP
.br
\fIM\fP 
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          M is INTEGER
          The number of rows of the matrix C. M >= 0.
.fi
.PP
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\fIN\fP 
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          N is INTEGER
          The number of columns of the matrix C. N >= 0.
.fi
.PP
.br
\fIK\fP 
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          K is INTEGER
          The number of elementary reflectors whose product defines
          the matrix Q.
          If SIDE = 'L', M >= K >= 0;
          if SIDE = 'R', N >= K >= 0.
.fi
.PP
.br
\fIL\fP 
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.nf
          L is INTEGER
          The number of columns of the matrix A containing
          the meaningful part of the Householder reflectors.
          If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.
.fi
.PP
.br
\fIA\fP 
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.nf
          A is REAL array, dimension
                               (LDA,M) if SIDE = 'L',
                               (LDA,N) if SIDE = 'R'
          The i-th row must contain the vector which defines the
          elementary reflector H(i), for i = 1,2,...,k, as returned by
          STZRZF in the last k rows of its array argument A.
          A is modified by the routine but restored on exit.
.fi
.PP
.br
\fILDA\fP 
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.nf
          LDA is INTEGER
          The leading dimension of the array A. LDA >= max(1,K).
.fi
.PP
.br
\fITAU\fP 
.PP
.nf
          TAU is REAL array, dimension (K)
          TAU(i) must contain the scalar factor of the elementary
          reflector H(i), as returned by STZRZF.
.fi
.PP
.br
\fIC\fP 
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.nf
          C is REAL array, dimension (LDC,N)
          On entry, the m-by-n matrix C.
          On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.
.fi
.PP
.br
\fILDC\fP 
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          LDC is INTEGER
          The leading dimension of the array C. LDC >= max(1,M).
.fi
.PP
.br
\fIWORK\fP 
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.nf
          WORK is REAL array, dimension
                                   (N) if SIDE = 'L',
                                   (M) if SIDE = 'R'
.fi
.PP
.br
\fIINFO\fP 
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.nf
          INFO is INTEGER
          = 0: successful exit
          < 0: if INFO = -i, the i-th argument had an illegal value
.fi
.PP
 
.RE
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\fBAuthor:\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
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Univ\&. of Colorado Denver 
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NAG Ltd\&. 
.RE
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\fBDate:\fP
.RS 4
December 2016 
.RE
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\fBContributors: \fP
.RS 4
A\&. Petitet, Computer Science Dept\&., Univ\&. of Tenn\&., Knoxville, USA 
.RE
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\fBFurther Details: \fP
.RS 4

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.RE
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Definition at line 180 of file sormr3\&.f\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.
