DenseLinAlgPack_delete_row_col.hpp

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// Moocho: Multi-functional Object-Oriented arCHitecture for Optimization
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#ifndef DELETE_ROW_COL_H
#define DELETE_ROW_COL_H

#include "DenseLinAlgPack_Types.hpp"

namespace DenseLinAlgPack {

/* * Delete a symmetric row and a column form a triangular matrix.
 *
 * If #M# is a lower triangular matrix then we partition it
 * as:
 \verbatim

   1 |\
     |  \
     |    \
     | M11  \
     |________\ _
  kd |_________|_|
     |         | |\
     |         | |  \
     |         | |    \
     |   M31   | | M33  \
   n |         | |        \
     ----------------------
     1         kd         n

 \endverbatim
 * In order to delete row #kd# and column #kd# the rectangular
 * matrix #M31# is moved up one row and the triangular matrix
 * #M33# is moved up one row and to the left one column.
 *
 * If #M# is an upper triangular matrix then we partition it
 * as:
 \verbatim

  1         kd      n
  -------------------- 1
  \        | |       |
    \  M11 | |  M13  |
      \    | |       |
        \  | |       |
          \|_|_______|
           |_|_______| kd
             \       |
               \ M33 |
                 \   |
                   \ | n
 
 \endverbatim
 *
 * In order to delete row #kd# and column #kd# the matrix
 * #M13# is moved one column to the left and the upper
 * triangular matrix #M33# is moved one row up and
 * on column to the left.
 *
 * Preconditions:<ul>
 * <li> #M != NULL#
 * <li> #M->rows() >= 1#
 * <li> #1 <= kd <= M->rows()#
 * </ul>
 */
void delete_row_col( size_type kd, DMatrixSliceTriEle* M );

} // end namespace DenseLinAlgPack

#endif  // DELETE_ROW_COL_H