File: sgbtrs

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--- 
:name: sgbtrs
:md5sum: 67897804c7f0b5c5cc0d53f7458b2608
:category: :subroutine
:arguments: 
- trans: 
    :type: char
    :intent: input
- n: 
    :type: integer
    :intent: input
- kl: 
    :type: integer
    :intent: input
- ku: 
    :type: integer
    :intent: input
- nrhs: 
    :type: integer
    :intent: input
- ab: 
    :type: real
    :intent: input
    :dims: 
    - ldab
    - n
- ldab: 
    :type: integer
    :intent: input
- ipiv: 
    :type: integer
    :intent: input
    :dims: 
    - n
- b: 
    :type: real
    :intent: input/output
    :dims: 
    - ldb
    - nrhs
- ldb: 
    :type: integer
    :intent: input
- info: 
    :type: integer
    :intent: output
:substitutions: {}

:fortran_help: "      SUBROUTINE SGBTRS( TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO )\n\n\
  *  Purpose\n\
  *  =======\n\
  *\n\
  *  SGBTRS solves a system of linear equations\n\
  *     A * X = B  or  A' * X = B\n\
  *  with a general band matrix A using the LU factorization computed\n\
  *  by SGBTRF.\n\
  *\n\n\
  *  Arguments\n\
  *  =========\n\
  *\n\
  *  TRANS   (input) CHARACTER*1\n\
  *          Specifies the form of the system of equations.\n\
  *          = 'N':  A * X = B  (No transpose)\n\
  *          = 'T':  A'* X = B  (Transpose)\n\
  *          = 'C':  A'* X = B  (Conjugate transpose = Transpose)\n\
  *\n\
  *  N       (input) INTEGER\n\
  *          The order of the matrix A.  N >= 0.\n\
  *\n\
  *  KL      (input) INTEGER\n\
  *          The number of subdiagonals within the band of A.  KL >= 0.\n\
  *\n\
  *  KU      (input) INTEGER\n\
  *          The number of superdiagonals within the band of A.  KU >= 0.\n\
  *\n\
  *  NRHS    (input) INTEGER\n\
  *          The number of right hand sides, i.e., the number of columns\n\
  *          of the matrix B.  NRHS >= 0.\n\
  *\n\
  *  AB      (input) REAL array, dimension (LDAB,N)\n\
  *          Details of the LU factorization of the band matrix A, as\n\
  *          computed by SGBTRF.  U is stored as an upper triangular band\n\
  *          matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and\n\
  *          the multipliers used during the factorization are stored in\n\
  *          rows KL+KU+2 to 2*KL+KU+1.\n\
  *\n\
  *  LDAB    (input) INTEGER\n\
  *          The leading dimension of the array AB.  LDAB >= 2*KL+KU+1.\n\
  *\n\
  *  IPIV    (input) INTEGER array, dimension (N)\n\
  *          The pivot indices; for 1 <= i <= N, row i of the matrix was\n\
  *          interchanged with row IPIV(i).\n\
  *\n\
  *  B       (input/output) REAL array, dimension (LDB,NRHS)\n\
  *          On entry, the right hand side matrix B.\n\
  *          On exit, the solution matrix X.\n\
  *\n\
  *  LDB     (input) INTEGER\n\
  *          The leading dimension of the array B.  LDB >= max(1,N).\n\
  *\n\
  *  INFO    (output) INTEGER\n\
  *          = 0:  successful exit\n\
  *          < 0: if INFO = -i, the i-th argument had an illegal value\n\
  *\n\n\
  *  =====================================================================\n\
  *\n"