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zgttrs (3)
  • >> zgttrs (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zgttrs - solve one of the systems of equations  A * X  =  B,
         A**T * X = B, or A**H * X = B,
    
    SYNOPSIS
         SUBROUTINE ZGTTRS( TRANS, N, NRHS, DL, D, DU, DU2, IPIV,  B,
                   LDB, INFO )
    
         CHARACTER TRANS
    
         INTEGER INFO, LDB, N, NRHS
    
         INTEGER IPIV( * )
    
         COMPLEX*16 B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * )
    
    
    
         #include <sunperf.h>
    
         void zgttrs(char trans, int n, int nrhs, doublecomplex  *dl,
                   doublecomplex *d, doublecomplex *du, doublecomplex
                   *du2, int *ipivot, doublecomplex *zb, int ldb, int
                   *info) ;
    
    PURPOSE
         ZGTTRS solves one of the systems of equations
            A * X = B,  A**T * X = B,  or  A**H * X = B, with a  tri-
         diagonal  matrix  A  using  the LU factorization computed by
         ZGTTRF.
    
    
    ARGUMENTS
         TRANS     (input) CHARACTER
                   Specifies the form of the system of equations:
                   = 'N':  A * X = B     (No transpose)
                   = 'T':  A**T * X = B  (Transpose)
                   = 'C':  A**H * X = B  (Conjugate transpose)
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         NRHS      (input) INTEGER
                   The number of right hand sides, i.e.,  the  number
                   of columns of the matrix B.  NRHS >= 0.
    
         DL        (input) COMPLEX*16 array, dimension (N-1)
                   The (n-1) multipliers that  define  the  matrix  L
                   from the LU factorization of A.
    
         D         (input) COMPLEX*16 array, dimension (N)
                   The n diagonal elements of  the  upper  triangular
                   matrix U from the LU factorization of A.
    
         DU        (input) COMPLEX*16 array, dimension (N-1)
                   The (n-1) elements of the first  superdiagonal  of
                   U.
    
         DU2       (input) COMPLEX*16 array, dimension (N-2)
                   The (n-2) elements of the second superdiagonal  of
                   U.
    
         IPIV      (input) INTEGER array, dimension (N)
                   The pivot indices; for 1 <= i <= n, row i  of  the
                   matrix was interchanged with row IPIV(i).  IPIV(i)
                   will always be either i or i+1; IPIV(i) = i  indi-
                   cates a row interchange was not required.
    
         B         (input/output)   COMPLEX*16    array,    dimension
                   (LDB,NRHS)
                   On entry, the right hand side matrix B.  On  exit,
                   B is overwritten by the solution matrix X.
    
         LDB       (input) INTEGER
                   The leading dimension of  the  array  B.   LDB  >=
                   max(1,N).
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
    
    
    
    


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