File: zgetrs

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--- 
:name: zgetrs
:md5sum: e6b23e55b9e2004e66cec7e32ea11589
:category: :subroutine
:arguments: 
- trans: 
    :type: char
    :intent: input
- n: 
    :type: integer
    :intent: input
- nrhs: 
    :type: integer
    :intent: input
- a: 
    :type: doublecomplex
    :intent: input
    :dims: 
    - lda
    - n
- lda: 
    :type: integer
    :intent: input
- ipiv: 
    :type: integer
    :intent: input
    :dims: 
    - n
- b: 
    :type: doublecomplex
    :intent: input/output
    :dims: 
    - ldb
    - nrhs
- ldb: 
    :type: integer
    :intent: input
- info: 
    :type: integer
    :intent: output
:substitutions: {}

:fortran_help: "      SUBROUTINE ZGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )\n\n\
  *  Purpose\n\
  *  =======\n\
  *\n\
  *  ZGETRS solves a system of linear equations\n\
  *     A * X = B,  A**T * X = B,  or  A**H * X = B\n\
  *  with a general N-by-N matrix A using the LU factorization computed\n\
  *  by ZGETRF.\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**T * X = B  (Transpose)\n\
  *          = 'C':  A**H * X = B  (Conjugate transpose)\n\
  *\n\
  *  N       (input) INTEGER\n\
  *          The order of the matrix A.  N >= 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\
  *  A       (input) COMPLEX*16 array, dimension (LDA,N)\n\
  *          The factors L and U from the factorization A = P*L*U\n\
  *          as computed by ZGETRF.\n\
  *\n\
  *  LDA     (input) INTEGER\n\
  *          The leading dimension of the array A.  LDA >= max(1,N).\n\
  *\n\
  *  IPIV    (input) INTEGER array, dimension (N)\n\
  *          The pivot indices from ZGETRF; for 1<=i<=N, row i of the\n\
  *          matrix was interchanged with row IPIV(i).\n\
  *\n\
  *  B       (input/output) COMPLEX*16 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"