dopgtr(3) [debian man page]

dopgtr.f(3)							      LAPACK							       dopgtr.f(3)

NAME

       dopgtr.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dopgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO)
	   DOPGTR

Function/Subroutine Documentation
   subroutine dopgtr (characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )TAU, double precision,
       dimension( ldq, * )Q, integerLDQ, double precision, dimension( * )WORK, integerINFO)
       DOPGTR

       Purpose:

	    DOPGTR generates a real orthogonal matrix Q which is defined as the
	    product of n-1 elementary reflectors H(i) of order n, as returned by
	    DSPTRD using packed storage:

	    if UPLO = 'U', Q = H(n-1) . . . H(2) H(1),

	    if UPLO = 'L', Q = H(1) H(2) . . . H(n-1).

       Parameters:
	   UPLO

		     UPLO is CHARACTER*1
		     = 'U': Upper triangular packed storage used in previous
			    call to DSPTRD;
		     = 'L': Lower triangular packed storage used in previous
			    call to DSPTRD.

	   N

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

	   AP

		     AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
		     The vectors which define the elementary reflectors, as
		     returned by DSPTRD.

	   TAU

		     TAU is DOUBLE PRECISION array, dimension (N-1)
		     TAU(i) must contain the scalar factor of the elementary
		     reflector H(i), as returned by DSPTRD.

	   Q

		     Q is DOUBLE PRECISION array, dimension (LDQ,N)
		     The N-by-N orthogonal matrix Q.

	   LDQ

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

	   WORK

		     WORK is DOUBLE PRECISION array, dimension (N-1)

	   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:
	   November 2011

       Definition at line 115 of file dopgtr.f.

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

Version 3.4.1							  Sun May 26 2013						       dopgtr.f(3)

dopmtr.f(3)							      LAPACK							       dopmtr.f(3)

NAME

       dopmtr.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dopmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO)
	   DOPMTR

Function/Subroutine Documentation
   subroutine dopmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, double precision, dimension( * )AP, double precision,
       dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerINFO)
       DOPMTR

       Purpose:

	    DOPMTR overwrites the general real M-by-N matrix C with

			    SIDE = 'L'	   SIDE = 'R'
	    TRANS = 'N':      Q * C	     C * Q
	    TRANS = 'T':      Q**T * C	     C * Q**T

	    where Q is a real orthogonal matrix of order nq, with nq = m if
	    SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
	    nq-1 elementary reflectors, as returned by DSPTRD using packed
	    storage:

	    if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);

	    if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).

       Parameters:
	   SIDE

		     SIDE is CHARACTER*1
		     = 'L': apply Q or Q**T from the Left;
		     = 'R': apply Q or Q**T from the Right.

	   UPLO

		     UPLO is CHARACTER*1
		     = 'U': Upper triangular packed storage used in previous
			    call to DSPTRD;
		     = 'L': Lower triangular packed storage used in previous
			    call to DSPTRD.

	   TRANS

		     TRANS is CHARACTER*1
		     = 'N':  No transpose, apply Q;
		     = 'T':  Transpose, apply Q**T.

	   M

		     M is INTEGER
		     The number of rows of the matrix C. M >= 0.

	   N

		     N is INTEGER
		     The number of columns of the matrix C. N >= 0.

	   AP

		     AP is DOUBLE PRECISION array, dimension
					  (M*(M+1)/2) if SIDE = 'L'
					  (N*(N+1)/2) if SIDE = 'R'
		     The vectors which define the elementary reflectors, as
		     returned by DSPTRD.  AP is modified by the routine but
		     restored on exit.

	   TAU

		     TAU is DOUBLE PRECISION array, dimension (M-1) if SIDE = 'L'
						or (N-1) if SIDE = 'R'
		     TAU(i) must contain the scalar factor of the elementary
		     reflector H(i), as returned by DSPTRD.

	   C

		     C is DOUBLE PRECISION array, dimension (LDC,N)
		     On entry, the M-by-N matrix C.
		     On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.

	   LDC

		     LDC is INTEGER
		     The leading dimension of the array C. LDC >= max(1,M).

	   WORK

		     WORK is DOUBLE PRECISION array, dimension
					      (N) if SIDE = 'L'
					      (M) if SIDE = 'R'

	   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:
	   November 2011

       Definition at line 150 of file dopmtr.f.

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

Version 3.4.1							  Sun May 26 2013						       dopmtr.f(3)