IRIX Base Documentation 2002 November/SGI IRIX Base Documentation 2002 November.iso/usr/share/catman/p_man/cat3/SCSL/sormtr.z/sormtr

Text File | 2002-10-03 | 5.2 KB | 199 lines

SSSSOOOORRRRMMMMTTTTRRRR((((3333SSSS))))                                                          SSSSOOOORRRRMMMMTTTTRRRR((((3333SSSS))))



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

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     SUBROUTINE SORMTR( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK,
                        LWORK, INFO )

         CHARACTER      SIDE, TRANS, UPLO

         INTEGER        INFO, LDA, LDC, LWORK, M, N

         REAL           A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

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     These routines are part of the SCSL Scientific Library and can be loaded
     using either the -lscs or the -lscs_mp option.  The -lscs_mp option
     directs the linker to use the multi-processor version of the library.

     When linking to SCSL with -lscs or -lscs_mp, the default integer size is
     4 bytes (32 bits). Another version of SCSL is available in which integers
     are 8 bytes (64 bits).  This version allows the user access to larger
     memory sizes and helps when porting legacy Cray codes.  It can be loaded
     by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use
     only one of the two versions; 4-byte integer and 8-byte integer library
     calls cannot be mixed.

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     SORMTR 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 SSYTRD:

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

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


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     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 triangle of A contains elementary reflectors from
             SSYTRD; = 'L': Lower triangle of A contains elementary reflectors
             from SSYTRD.






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SSSSOOOORRRRMMMMTTTTRRRR((((3333SSSS))))                                                          SSSSOOOORRRRMMMMTTTTRRRR((((3333SSSS))))



     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.

     A       (input) REAL array, dimension
             (LDA,M) if SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which
             define the elementary reflectors, as returned by SSYTRD.

     LDA     (input) INTEGER
             The leading dimension of the array A.  LDA >= max(1,M) if SIDE =
             'L'; LDA >= max(1,N) if SIDE = 'R'.

     TAU     (input) REAL array, dimension
             (M-1) if SIDE = 'L' (N-1) if SIDE = 'R' TAU(i) must contain the
             scalar factor of the elementary reflector H(i), as returned by
             SSYTRD.

     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/output) REAL array, dimension (LWORK)
             On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

     LWORK   (input) INTEGER
             The dimension of the array WORK.  If SIDE = 'L', LWORK >=
             max(1,N); if SIDE = 'R', LWORK >= max(1,M).  For optimum
             performance LWORK >= N*NB if SIDE = 'L', and LWORK >= M*NB if
             SIDE = 'R', where NB is the optimal blocksize.

             If LWORK = -1, then a workspace query is assumed; the routine
             only calculates the optimal size of the WORK array, returns this
             value as the first entry of the WORK array, and no error message
             related to LWORK is issued by XERBLA.

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

SSSSEEEEEEEE AAAALLLLSSSSOOOO
     INTRO_LAPACK(3S), INTRO_SCSL(3S)





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SSSSOOOORRRRMMMMTTTTRRRR((((3333SSSS))))                                                          SSSSOOOORRRRMMMMTTTTRRRR((((3333SSSS))))



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