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sgbmv (3)
  • >> sgbmv (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         sgbmv - perform one of the matrix-vector operations    y  :=
         alpha*A*x + beta*y or y := alpha*A'*x + beta*y
    
    SYNOPSIS
         SUBROUTINE SGBMV ( TRANS, M, N, KL, KU, ALPHA,  A,  LDA,  X,
                   INCX, BETA, Y, INCY )
    
         REAL ALPHA, BETA
    
         INTEGER INCX, INCY, KL, KU, LDA, M, N
    
         CHARACTER*1 TRANS
    
         REAL A( LDA, * ), X( * ), Y( * )
    
    
    
         #include <sunperf.h>
    
         void sgbmv(char trans, int m, int n, int kl, int  ku,  float
                   alpha,  float  *sa,  int lda, float *sx, int incx,
                   float sbeta, float *sy, int incy) ;
    
    PURPOSE
         SGBMV  performs one of the  matrix-vector  operations  y  :=
         alpha*A*x  + beta*y or y := alpha*A'*x + beta*y, where alpha
         and beta are scalars, x and y are vectors and A is an m by n
         band matrix, with kl sub-diagonals and ku super-diagonals.
    
    
    PARAMETERS
         TRANS     - CHARACTER*1.
                   On entry, TRANS specifies the operation to be per-
                   formed as follows:
    
                   TRANS = 'N' or 'n'   y := alpha*A*x + beta*y.
    
                   TRANS = 'T' or 't'   y := alpha*A'*x + beta*y.
    
                   TRANS = 'C' or 'c'   y := alpha*A'*x + beta*y.
    
                   Unchanged on exit.
    
         M         - INTEGER.
                   On entry, M specifies the number of  rows  of  the
                   matrix  A.  M must be at least zero.  Unchanged on
                   exit.
    
         N         - INTEGER.
                   On entry, N specifies the number of columns of the
                   matrix  A.  N must be at least zero.  Unchanged on
                   exit.
    
         KL        - INTEGER.
                   On entry, KL specifies the number of sub-diagonals
                   of  the  matrix  A.  KL  must  satisfy  0 .le. KL.
                   Unchanged on exit.
    
         KU        - INTEGER.
                   On  entry,  KU  specifies  the  number  of  super-
                   diagonals of the matrix A. KU must satisfy  0 .le.
                   KU.  Unchanged on exit.
    
         ALPHA     - REAL            .
                   On  entry,  ALPHA  specifies  the  scalar   alpha.
                   Unchanged on exit.
    
         A         - REAL             array of DIMENSION ( LDA, n ).
                   Before entry, the leading ( kl + ku +  1  )  by  n
                   part  of  the  array  A must contain the matrix of
                   coefficients, supplied column by column, with  the
                   leading  diagonal  of the matrix in row ( ku + 1 )
                   of the array, the first super-diagonal starting at
                   position  2  in  row  ku,  the  first sub-diagonal
                   starting at position 1 in row ( ku + 2 ),  and  so
                   on.    Elements   in  the  array  A  that  do  not
                   correspond to elements in the band matrix (such as
                   the  top  left  ku  by ku triangle) are not refer-
                   enced.   The  following   program   segment   will
                   transfer  a  band  matrix  from  conventional full
                   matrix storage to band storage:
    
                   DO 20, J = 1, N K = KU + 1 - J DO 10, I = MAX(  1,
                   J - KU ), MIN( M, J + KL ) A( K + I, J ) = matrix(
                   I, J ) 10    CONTINUE 20 CONTINUE
    
                   Unchanged on exit.
    
         LDA       - INTEGER.
                   On entry, LDA specifies the first dimension  of  A
                   as declared in the calling (sub) program. LDA must
                   be at least ( kl + ku + 1 ).  Unchanged on exit.
    
         X         - REAL             array of DIMENSION at least
                   ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N'  or
                   'n'  and  at  least  ( 1 + ( m - 1 )*abs( INCX ) )
                   otherwise.  Before entry, the incremented array  X
                   must contain the vector x.  Unchanged on exit.
    
         INCX      - INTEGER.
                   On entry, INCX specifies  the  increment  for  the
                   elements  of  X. INCX must not be zero.  Unchanged
                   on exit.
    
         BETA      - REAL            .
                   On entry, BETA specifies  the  scalar  beta.  When
                   BETA is supplied as zero then Y need not be set on
                   input.  Unchanged on exit.
    
         Y         - REAL             array of DIMENSION at least
                   ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N'  or
                   'n'  and  at  least  ( 1 + ( n - 1 )*abs( INCY ) )
                   otherwise.  Before entry, the incremented array  Y
                   must contain the vector y. On exit, Y is overwrit-
                   ten by the updated vector y.
    
         INCY      - INTEGER.
                   On entry, INCY specifies  the  increment  for  the
                   elements  of  Y. INCY must not be zero.  Unchanged
                   on exit.
    
    
    
    


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