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chetrs


 NAME
      CHETRS - solve a system of linear equations A*X = B with a
      complex Hermitian matrix A using the factorization A =
      U*D*U**H or A = L*D*L**H computed by CHETRF

 SYNOPSIS
      SUBROUTINE CHETRS( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO
                         )

          CHARACTER      UPLO

          INTEGER        INFO, LDA, LDB, N, NRHS

          INTEGER        IPIV( * )

          COMPLEX        A( LDA, * ), B( LDB, * )

 PURPOSE
      CHETRS solves a system of linear equations A*X = B with a
      complex Hermitian matrix A using the factorization A =
      U*D*U**H or A = L*D*L**H computed by CHETRF.

 ARGUMENTS
      UPLO    (input) CHARACTER*1
              Specifies whether the details of the factorization
              are stored as an upper or lower triangular matrix.
              = 'U':  Upper triangular, form is A = U*D*U**H;
              = 'L':  Lower triangular, form is A = L*D*L**H.

      N       (input) INTEGER
              The order of the matrix A.  N >= 0.

      NRHS    (input) INTEGER
              The number of right hand sides, i.e., the number of
              columns of the matrix B.  NRHS >= 0.

      A       (input) COMPLEX array, dimension (LDA,N)
              The block diagonal matrix D and the multipliers used
              to obtain the factor U or L as computed by CHETRF.

      LDA     (input) INTEGER
              The leading dimension of the array A.  LDA >=
              max(1,N).

      IPIV    (input) INTEGER array, dimension (N)
              Details of the interchanges and the block structure
              of D as determined by CHETRF.

      B       (input/output) COMPLEX 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