SRC/zgbtrs.f(3)

NAME
SRC/zgbtrs.f

SYNOPSIS

  Functions/Subroutines
subroutine zgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
ZGBTRS

Function/Subroutine Documentation

  subroutine zgbtrs (character trans, integer n, integer kl, integer ku, integer nrhs, complex*16, dimension( ldab, * ) ab, integer ldab, integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer ldb, integer info)

ZGBTRS

Purpose:

    !>
    !> ZGBTRS solves 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.
    !>

Parameters
    TRANS

    !>          TRANS is 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

    !>          N is INTEGER
    !>          The order of the matrix A.  N >= 0.
    !>

    KL

    !>          KL is INTEGER
    !>          The number of subdiagonals within the band of A.  KL >= 0.
    !>

    KU

    !>          KU is INTEGER
    !>          The number of superdiagonals within the band of A.  KU >= 0.
    !>

    NRHS

    !>          NRHS is INTEGER
    !>          The number of right hand sides, i.e., the number of columns
    !>          of the matrix B.  NRHS >= 0.
    !>

    AB

    !>          AB is 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

    !>          LDAB is INTEGER
    !>          The leading dimension of the array AB.  LDAB >= 2*KL+KU+1.
    !>

    IPIV

    !>          IPIV is INTEGER array, dimension (N)
    !>          The pivot indices; for 1 <= i <= N, row i of the matrix was
    !>          interchanged with row IPIV(i).
    !>

    B

    !>          B is COMPLEX*16 array, dimension (LDB,NRHS)
    !>          On entry, the right hand side matrix B.
    !>          On exit, the solution matrix X.
    !>

    LDB

    !>          LDB is INTEGER
    !>          The leading dimension of the array B.  LDB >= max(1,N).
    !>

    INFO

    !>          INFO is INTEGER
    !>          = 0:  successful exit
    !>          < 0:  if INFO = -i, the i-th argument had an illegal value
    !>

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 136 of file zgbtrs.f.

Author

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