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zgbtrs (3)
  • >> zgbtrs (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zgbtrs - solve a system of linear equations  A * X = B, A**T
         *  X = B, or A**H * X = B with a general band matrix A using
         the LU factorization computed by ZGBTRF
    
    SYNOPSIS
         SUBROUTINE ZGBTRS( TRANS, N, KL, KU, NRHS, AB,  LDAB,  IPIV,
                   B, LDB, INFO )
    
         CHARACTER TRANS
    
         INTEGER INFO, KL, KU, LDAB, LDB, N, NRHS
    
         INTEGER IPIV( * )
    
         COMPLEX*16 AB( LDAB, * ), B( LDB, * )
    
    
    
         #include <sunperf.h>
    
         void zgbtrs(char trans, int n, int kl,  int  ku,  int  nrhs,
                   doublecomplex  *zab,  int ldab, int *ipivot, doub-
                   lecomplex *zb, int ldb, int *info) ;
    
    PURPOSE
         ZGBTRS solves a system of linear equations
            A * X = B,  A**T * X = B,  or  A**H * X = B with  a  gen-
         eral  band  matrix  A using the LU factorization computed by
         ZGBTRF.
    
    
    ARGUMENTS
         TRANS     (input) CHARACTER*1
                   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.
    
         KL        (input) INTEGER
                   The number of subdiagonals within the band  of  A.
                   KL >= 0.
    
         KU        (input) INTEGER
                   The number of superdiagonals within the band of A.
                   KU >= 0.
    
         NRHS      (input) INTEGER
                   The number of right hand sides, i.e.,  the  number
                   of columns of the matrix B.  NRHS >= 0.
    
         AB        (input) COMPLEX*16 array, dimension (LDAB,N)
                   Details of the LU factorization of the band matrix
                   A, as computed by ZGBTRF.  U is stored as an upper
                   triangular band matrix with  KL+KU  superdiagonals
                   in  rows  1  to  KL+KU+1, and the multipliers used
                   during  the  factorization  are  stored  in   rows
                   KL+KU+2 to 2*KL+KU+1.
    
         LDAB      (input) INTEGER
                   The leading dimension of the array  AB.   LDAB  >=
                   2*KL+KU+1.
    
         IPIV      (input) INTEGER array, dimension (N)
                   The pivot indices; for 1 <= i <= N, row i  of  the
                   matrix was interchanged with row IPIV(i).
    
         B         (input/output)   COMPLEX*16    array,    dimension
                   (LDB,NRHS)
                   On entry, the right hand side matrix B.  On  exit,
                   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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