.TH "zlarz.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*-
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.SH NAME
zlarz.f \- 
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzlarz\fP (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)"
.br
.RI "\fI\fBZLARZ\fP applies an elementary reflector (as returned by stzrzf) to a general matrix\&. \fP"
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.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zlarz (characterSIDE, integerM, integerN, integerL, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK)"

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\fBZLARZ\fP applies an elementary reflector (as returned by stzrzf) to a general matrix\&.  
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\fBPurpose: \fP
.RS 4

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.nf
 ZLARZ applies a complex elementary reflector H to a complex
 M-by-N matrix C, from either the left or the right. H is represented
 in the form

       H = I - tau * v * v**H

 where tau is a complex scalar and v is a complex vector.

 If tau = 0, then H is taken to be the unit matrix.

 To apply H**H (the conjugate transpose of H), supply conjg(tau) instead
 tau.

 H is a product of k elementary reflectors as returned by ZTZRZF.
.fi
.PP
 
.RE
.PP
\fBParameters:\fP
.RS 4
\fISIDE\fP 
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.nf
          SIDE is CHARACTER*1
          = 'L': form  H * C
          = 'R': form  C * H
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.PP
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\fIM\fP 
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          M is INTEGER
          The number of rows of the matrix C.
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.PP
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\fIN\fP 
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          N is INTEGER
          The number of columns of the matrix C.
.fi
.PP
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\fIL\fP 
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          L is INTEGER
          The number of entries of the vector V containing
          the meaningful part of the Householder vectors.
          If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.
.fi
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\fIV\fP 
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          V is COMPLEX*16 array, dimension (1+(L-1)*abs(INCV))
          The vector v in the representation of H as returned by
          ZTZRZF. V is not used if TAU = 0.
.fi
.PP
.br
\fIINCV\fP 
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          INCV is INTEGER
          The increment between elements of v. INCV <> 0.
.fi
.PP
.br
\fITAU\fP 
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          TAU is COMPLEX*16
          The value tau in the representation of H.
.fi
.PP
.br
\fIC\fP 
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          C is COMPLEX*16 array, dimension (LDC,N)
          On entry, the M-by-N matrix C.
          On exit, C is overwritten by the matrix H * C if SIDE = 'L',
          or C * H if SIDE = 'R'.
.fi
.PP
.br
\fILDC\fP 
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.nf
          LDC is INTEGER
          The leading dimension of the array C. LDC >= max(1,M).
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
          WORK is COMPLEX*16 array, dimension
                         (N) if SIDE = 'L'
                      or (M) if SIDE = 'R'
.fi
.PP
 
.RE
.PP
\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
September 2012 
.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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.fi
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.RE
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Definition at line 148 of file zlarz\&.f\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.