sopmtr(l) [redhat man page]

SOPMTR(l)								 )								 SOPMTR(l)

NAME

       SOPMTR - overwrite the general real M-by-N matrix C with  SIDE = 'L' SIDE = 'R' TRANS = 'N'

SYNOPSIS

       SUBROUTINE SOPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO )

	   CHARACTER	  SIDE, TRANS, UPLO

	   INTEGER	  INFO, LDC, M, N

	   REAL 	  AP( * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

       SOPMTR 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 SSPTRD 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).

ARGUMENTS

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

       UPLO    (input) CHARACTER*1
	       =  'U':	Upper  triangular  packed storage used in previous call to SSPTRD; = 'L': Lower triangular packed storage used in previous
	       call to SSPTRD.

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

       M       (input) INTEGER
	       The number of rows of the matrix C. M >= 0.

       N       (input) INTEGER
	       The number of columns of the matrix C. N >= 0.

       AP      (input) REAL 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 SSPTRD.	AP
	       is modified by the routine but restored on exit.

       TAU     (input) REAL 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 SSPTRD.

       C       (input/output) REAL 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     (input) INTEGER
	       The leading dimension of the array C. LDC >= max(1,M).

       WORK    (workspace) REAL array, dimension
	       (N) if SIDE = 'L' (M) if SIDE = 'R'

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

LAPACK version 3.0						   15 June 2000 							 SOPMTR(l)

sopmtr.f(3)							      LAPACK							       sopmtr.f(3)

NAME

       sopmtr.f -

SYNOPSIS

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

Function/Subroutine Documentation
   subroutine sopmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, real, dimension( * )AP, real, dimension( * )TAU, real,
       dimension( ldc, * )C, integerLDC, real, dimension( * )WORK, integerINFO)
       SOPMTR

       Purpose:

	    SOPMTR 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 SSPTRD 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 SSPTRD;
		     = 'L': Lower triangular packed storage used in previous
			    call to SSPTRD.

	   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 REAL 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 SSPTRD.  AP is modified by the routine but
		     restored on exit.

	   TAU

		     TAU is REAL 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 SSPTRD.

	   C

		     C is REAL 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 REAL 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 sopmtr.f.

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

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