/* -------------------------------------------------------------------------- */
  /* UMFPACK Copyright (c) Timothy A. Davis, CISE,                              */
  /* Univ. of Florida.  All Rights Reserved.  See ../Doc/License for License.   */
  /* web: http://www.cise.ufl.edu/research/sparse/umfpack                       */
  /* -------------------------------------------------------------------------- */
  
  GLOBAL double UMF_ltsolve
  (
      NumericType *Numeric,
      Entry X [ ],
      Int Pattern [ ]
  ) ;
  
  GLOBAL double UMF_lhsolve
  (
      NumericType *Numeric,
      Entry X [ ],
      Int Pattern [ ]
  ) ;