dtpttf.f man page on Oracle

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dtpttf.f(3)			    LAPACK			   dtpttf.f(3)

NAME
       dtpttf.f -

SYNOPSIS
   Functions/Subroutines
       subroutine dtpttf (TRANSR, UPLO, N, AP, ARF, INFO)
	   DTPTTF copies a triangular matrix from the standard packed format
	   (TP) to the rectangular full packed format (TF).

Function/Subroutine Documentation
   subroutine dtpttf (characterTRANSR, characterUPLO, integerN, double
       precision, dimension( 0: * )AP, double precision, dimension( 0: * )ARF,
       integerINFO)
       DTPTTF copies a triangular matrix from the standard packed format (TP)
       to the rectangular full packed format (TF).

       Purpose:

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

       Parameters:
	   TRANSR

		     TRANSR is CHARACTER*1
		     = 'N':  ARF in Normal format is wanted;
		     = 'T':  ARF in Conjugate-transpose format is wanted.

	   UPLO

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

	   N

		     N is INTEGER
		     The order of the matrix A.	 N >= 0.

	   AP

		     AP is DOUBLE PRECISION 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.

	   ARF

		     ARF is DOUBLE PRECISION 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.

	   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 187 of file dtpttf.f.

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

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