zgbtrs.f(3)

NAME
zgbtrs.f -

SYNOPSIS

  Functions/Subroutines
subroutine ZGBTRS (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
ZGBTRS

Function/Subroutine Documentation

  subroutine ZGBTRS (CHARACTERTRANS, INTEGERN, INTEGERKL, INTEGERKU, INTEGERNRHS, COMPLEX*16, dimension( ldab, * )AB, INTEGERLDAB, INTEGER, dimension( * )IPIV, COMPLEX*16, dimension( ldb, * )B, INTEGERLDB, INTEGERINFO)

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'.

Date:
    November 2011

Definition at line 138 of file zgbtrs.f'.

Author

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