.TH "SRC/stpttf.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/stpttf.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBstpttf\fP (transr, uplo, n, ap, arf, info)"
.br
.RI "\fBSTPTTF\fP copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF)\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine stpttf (character transr, character uplo, integer n, real, dimension( 0: * ) ap, real, dimension( 0: * ) arf, integer info)"

.PP
\fBSTPTTF\fP copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF)\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> STPTTF copies a triangular matrix A from standard packed format (TP)
!> to rectangular full packed format (TF)\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fITRANSR\fP 
.PP
.nf
!>          TRANSR is CHARACTER*1
!>          = 'N':  ARF in Normal format is wanted;
!>          = 'T':  ARF in Conjugate-transpose format is wanted\&.
!> 
.fi
.PP
.br
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          = 'U':  A is upper triangular;
!>          = 'L':  A is lower triangular\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIAP\fP 
.PP
.nf
!>          AP is REAL array, dimension ( N*(N+1)/2 ),
!>          On entry, the upper or lower triangular matrix A, packed
!>          columnwise in a linear array\&. The j-th column of A is stored
!>          in the array AP as follows:
!>          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
!>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n\&.
!> 
.fi
.PP
.br
\fIARF\fP 
.PP
.nf
!>          ARF is REAL array, dimension ( N*(N+1)/2 ),
!>          On exit, the upper or lower triangular matrix A stored in
!>          RFP format\&. For a further discussion see Notes below\&.
!> 
.fi
.PP
.br
\fIINFO\fP 
.PP
.nf
!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!> 
.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
\fBFurther Details:\fP
.RS 4

.PP
.nf
!>
!>  We first consider Rectangular Full Packed (RFP) Format when N is
!>  even\&. We give an example where N = 6\&.
!>
!>      AP is Upper             AP is Lower
!>
!>   00 01 02 03 04 05       00
!>      11 12 13 14 15       10 11
!>         22 23 24 25       20 21 22
!>            33 34 35       30 31 32 33
!>               44 45       40 41 42 43 44
!>                  55       50 51 52 53 54 55
!>
!>
!>  Let TRANSR = 'N'\&. RFP holds AP as follows:
!>  For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last
!>  three columns of AP upper\&. The lower triangle A(4:6,0:2) consists of
!>  the transpose of the first three columns of AP upper\&.
!>  For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first
!>  three columns of AP lower\&. The upper triangle A(0:2,0:2) consists of
!>  the transpose of the last three columns of AP lower\&.
!>  This covers the case N even and TRANSR = 'N'\&.
!>
!>         RFP A                   RFP A
!>
!>        03 04 05                33 43 53
!>        13 14 15                00 44 54
!>        23 24 25                10 11 55
!>        33 34 35                20 21 22
!>        00 44 45                30 31 32
!>        01 11 55                40 41 42
!>        02 12 22                50 51 52
!>
!>  Now let TRANSR = 'T'\&. RFP A in both UPLO cases is just the
!>  transpose of RFP A above\&. One therefore gets:
!>
!>
!>           RFP A                   RFP A
!>
!>     03 13 23 33 00 01 02    33 00 10 20 30 40 50
!>     04 14 24 34 44 11 12    43 44 11 21 31 41 51
!>     05 15 25 35 45 55 22    53 54 55 22 32 42 52
!>
!>
!>  We then consider Rectangular Full Packed (RFP) Format when N is
!>  odd\&. We give an example where N = 5\&.
!>
!>     AP is Upper                 AP is Lower
!>
!>   00 01 02 03 04              00
!>      11 12 13 14              10 11
!>         22 23 24              20 21 22
!>            33 34              30 31 32 33
!>               44              40 41 42 43 44
!>
!>
!>  Let TRANSR = 'N'\&. RFP holds AP as follows:
!>  For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last
!>  three columns of AP upper\&. The lower triangle A(3:4,0:1) consists of
!>  the transpose of the first two columns of AP upper\&.
!>  For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first
!>  three columns of AP lower\&. The upper triangle A(0:1,1:2) consists of
!>  the transpose of the last two columns of AP lower\&.
!>  This covers the case N odd and TRANSR = 'N'\&.
!>
!>         RFP A                   RFP A
!>
!>        02 03 04                00 33 43
!>        12 13 14                10 11 44
!>        22 23 24                20 21 22
!>        00 33 34                30 31 32
!>        01 11 44                40 41 42
!>
!>  Now let TRANSR = 'T'\&. RFP A in both UPLO cases is just the
!>  transpose of RFP A above\&. One therefore gets:
!>
!>           RFP A                   RFP A
!>
!>     02 12 22 00 01             00 10 20 30 40 50
!>     03 13 23 33 11             33 11 21 31 41 51
!>     04 14 24 34 44             43 44 22 32 42 52
!> 
.fi
.PP
 
.RE
.PP

.PP
Definition at line \fB185\fP of file \fBstpttf\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.