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CentOS 7.0 - man page for dtfttr (centos section 3)

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dtfttr.f(3)				      LAPACK				      dtfttr.f(3)

NAME
       dtfttr.f -

SYNOPSIS
   Functions/Subroutines
       subroutine dtfttr (TRANSR, UPLO, N, ARF, A, LDA, INFO)
	   DTFTTR copies a triangular matrix from the rectangular full packed format (TF) to the
	   standard full format (TR).

Function/Subroutine Documentation
   subroutine dtfttr (characterTRANSR, characterUPLO, integerN, double precision, dimension( 0: *
       )ARF, double precision, dimension( 0: lda-1, 0: * )A, integerLDA, integerINFO)
       DTFTTR copies a triangular matrix from the rectangular full packed format (TF) to the
       standard full format (TR).

       Purpose:

	    DTFTTR copies a triangular matrix A from rectangular full packed
	    format (TF) to standard full format (TR).

       Parameters:
	   TRANSR

		     TRANSR is CHARACTER*1
		     = 'N':  ARF is in Normal format;
		     = 'T':  ARF is in Transpose format.

	   UPLO

		     UPLO is CHARACTER*1
		     = 'U':  A is upper triangular;
		     = 'L':  A is lower triangular.

	   N

		     N is INTEGER
		     The order of the matrices ARF and A. N >= 0.

	   ARF

		     ARF is DOUBLE PRECISION array, dimension (N*(N+1)/2).
		     On entry, the upper (if UPLO = 'U') or lower (if UPLO = 'L')
		     matrix A in RFP format. See the "Notes" below for more
		     details.

	   A

		     A is DOUBLE PRECISION array, dimension (LDA,N)
		     On exit, the triangular matrix A.	If UPLO = 'U', the
		     leading N-by-N upper triangular part of the array A contains
		     the upper triangular matrix, and the strictly lower
		     triangular part of A is not referenced.  If UPLO = 'L', the
		     leading N-by-N lower triangular part of the array A contains
		     the lower triangular matrix, and the strictly upper
		     triangular part of A is not referenced.

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A.  LDA >= max(1,N).

	   INFO

		     INFO is INTEGER
		     = 0:  successful exit
		     < 0:  if INFO = -i, the i-th argument had an illegal value

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Further Details:

	     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

       Definition at line 197 of file dtfttr.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012			      dtfttr.f(3)
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