Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3  -  solves a system of linear equations  A * X = B or A**T * X = B with a general
       band matrix A using the LU factorization computed by DGBTRF

SYNOPSIS

       SUBROUTINE DGBTRS( TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO )

           CHARACTER      TRANS

           INTEGER        INFO, KL, KU, LDAB, LDB, N, NRHS

           INTEGER        IPIV( * )

           DOUBLE         PRECISION AB( LDAB, * ), B( LDB, * )

PURPOSE

       DGBTRS solves a system of linear equations
          A * X = B  or  A**T * X = B with a general band matrix A  using  the  LU  factorization
       computed by DGBTRF.

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**T* X = B  (Conjugate transpose = 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) DOUBLE PRECISION array, dimension (LDAB,N)
                Details of the LU factorization of the band matrix A, as
                computed by DGBTRF.  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) DOUBLE PRECISION 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 illegal value

 LAPACK routine (version 3.2)               April 2011                            DGBTRS(3lapack)