.TH "slarf.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME slarf.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBslarf\fP (SIDE, M, N, V, INCV, TAU, C, LDC, WORK)" .br .RI "\fI\fBSLARF\fP applies an elementary reflector to a general rectangular matrix\&. \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine slarf (characterSIDE, integerM, integerN, real, dimension( * )V, integerINCV, realTAU, real, dimension( ldc, * )C, integerLDC, real, dimension( * )WORK)" .PP \fBSLARF\fP applies an elementary reflector to a general rectangular matrix\&. .PP \fBPurpose: \fP .RS 4 .PP .nf SLARF applies a real elementary reflector H to a real m by n matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**T where tau is a real scalar and v is a real vector. If tau = 0, then H is taken to be the unit matrix. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fISIDE\fP .PP .nf SIDE is CHARACTER*1 = 'L': form H * C = 'R': form C * H .fi .PP .br \fIM\fP .PP .nf M is INTEGER The number of rows of the matrix C. .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix C. .fi .PP .br \fIV\fP .PP .nf V is REAL array, dimension (1 + (M-1)*abs(INCV)) if SIDE = 'L' or (1 + (N-1)*abs(INCV)) if SIDE = 'R' The vector v in the representation of H. V is not used if TAU = 0. .fi .PP .br \fIINCV\fP .PP .nf INCV is INTEGER The increment between elements of v. INCV <> 0. .fi .PP .br \fITAU\fP .PP .nf TAU is REAL The value tau in the representation of H. .fi .PP .br \fIC\fP .PP .nf C is REAL 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 .PP .nf LDC is INTEGER The leading dimension of the array C. LDC >= max(1,M). .fi .PP .br \fIWORK\fP .PP .nf WORK is REAL 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 .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate:\fP .RS 4 September 2012 .RE .PP .PP Definition at line 125 of file slarf\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.