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ssbmv (3)
  • >> ssbmv (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         ssbmv - perform the matrix-vector operation   y := alpha*A*x
         + beta*y
    
    SYNOPSIS
         SUBROUTINE SSBMV ( UPLO, N, K, ALPHA, A, LDA, X, INCX, BETA,
                   Y, INCY )
    
         REAL ALPHA, BETA
    
         INTEGER INCX, INCY, K, LDA, N
    
         CHARACTER*1 UPLO
    
         REAL A( LDA, * ), X( * ), Y( * )
    
    
    
         #include <sunperf.h>
    
         void ssbmv(char uplo, int n, int k, float alpha, float  *sa,
                   int  lda,  float *sx, int incx, float sbeta, float
                   *sy, int incy) ;
    
    PURPOSE
         SSBMV  performs the matrix-vector  operation y :=  alpha*A*x
         +  beta*y,  where  alpha and beta are scalars, x and y are n
         element vectors and A is an n by n  symmetric  band  matrix,
         with k super-diagonals.
    
    
    PARAMETERS
         UPLO      - CHARACTER*1.
                   On entry, UPLO  specifies  whether  the  upper  or
                   lower  triangular  part  of  the  band matrix A is
                   being supplied as follows:
    
                   UPLO = 'U' or 'u'   The upper triangular part of A
                   is being supplied.
    
                   UPLO = 'L' or 'l'   The lower triangular part of A
                   is being supplied.
    
                   Unchanged on exit.
    
         N         - INTEGER.
                   On entry, N specifies the order of the  matrix  A.
                   N must be at least zero.  Unchanged on exit.
    
         K         - INTEGER.
                   On  entry,  K  specifies  the  number  of   super-
                   diagonals  of the matrix A. K must satisfy  0 .le.
                   K.  Unchanged on exit.
    
         ALPHA     - REAL            .
                   On  entry,  ALPHA  specifies  the  scalar   alpha.
                   Unchanged on exit.
    
         A         - REAL             array of DIMENSION ( LDA, n ).
                   Before entry with UPLO = 'U' or 'u', the leading (
                   k  + 1 ) by n part of the array A must contain the
                   upper  triangular  band  part  of  the   symmetric
                   matrix,  supplied column by column, with the lead-
                   ing diagonal of the matrix in row ( k + 1 ) of the
                   array,  the first super-diagonal starting at posi-
                   tion 2 in row k, and so on. The top left  k  by  k
                   triangle  of  the  array A is not referenced.  The
                   following program segment will transfer the  upper
                   triangular  part  of  a symmetric band matrix from
                   conventional full matrix storage to band storage:
    
                   DO 20, J = 1, N M = K + 1 - J DO 10, I = MAX( 1, J
                   - K ), J A( M + I, J ) = matrix( I, J ) 10    CON-
                   TINUE 20 CONTINUE
    
                   Before entry with UPLO = 'L' or 'l', the leading (
                   k  + 1 ) by n part of the array A must contain the
                   lower  triangular  band  part  of  the   symmetric
                   matrix,  supplied column by column, with the lead-
                   ing diagonal of the matrix in row 1 of the  array,
                   the  first  sub-diagonal starting at position 1 in
                   row 2, and so on. The bottom right k by k triangle
                   of  the  array A is not referenced.  The following
                   program segment will transfer the lower triangular
                   part  of a symmetric band matrix from conventional
                   full matrix storage to band storage:
    
                   DO 20, J = 1, N M = 1 - J DO 10, I = J, MIN( N,  J
                   +  K  )  A( M + I, J ) = matrix( I, J ) 10    CON-
                   TINUE 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 ( k + 1 ).  Unchanged on exit.
    
         X         - REAL             array of DIMENSION at least
                   ( 1 + ( n - 1 )*abs( INCX ) ).  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.
                   Unchanged on exit.
    
         Y         - REAL             array of DIMENSION at least
                   ( 1 + ( n - 1 )*abs( INCY ) ).  Before entry,  the
                   incremented  array Y must contain the vector y. On
                   exit, Y is overwritten 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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