.TH "single_eig" 3 "Tue Dec 4 2018" "Version 3.8.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME single_eig .SH SYNOPSIS .br .PP .SS "Functions" .in +1c .ti -1c .RI "subroutine \fBslarfy\fP (UPLO, N, V, INCV, TAU, C, LDC, WORK)" .br .RI "\fBSLARFY\fP " .in -1c .SH "Detailed Description" .PP This is the group of real LAPACK TESTING EIG routines\&. .SH "Function Documentation" .PP .SS "subroutine slarfy (character UPLO, integer N, real, dimension( * ) V, integer INCV, real TAU, real, dimension( ldc, * ) C, integer LDC, real, dimension( * ) WORK)" .PP \fBSLARFY\fP .PP \fBPurpose: \fP .RS 4 .PP .nf SLARFY applies an elementary reflector, or Householder matrix, H, to an n x n symmetric matrix C, from both the left and the right. H is represented in the form H = I - tau * v * v' where tau is a scalar and v is a vector. If tau is zero, then H is taken to be the unit matrix. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIUPLO\fP .PP .nf UPLO is CHARACTER*1 Specifies whether the upper or lower triangular part of the symmetric matrix C is stored. = 'U': Upper triangle = 'L': Lower triangle .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of rows and columns of the matrix C. N >= 0. .fi .PP .br \fIV\fP .PP .nf V is REAL array, dimension (1 + (N-1)*abs(INCV)) The vector v as described above. .fi .PP .br \fIINCV\fP .PP .nf INCV is INTEGER The increment between successive elements of v. INCV must not be zero. .fi .PP .br \fITAU\fP .PP .nf TAU is REAL The value tau as described above. .fi .PP .br \fIC\fP .PP .nf C is REAL array, dimension (LDC, N) On entry, the matrix C. On exit, C is overwritten by H * C * H'. .fi .PP .br \fILDC\fP .PP .nf LDC is INTEGER The leading dimension of the array C. LDC >= max( 1, N ). .fi .PP .br \fIWORK\fP .PP .nf WORK is REAL array, dimension (N) .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 December 2016 .RE .PP .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.