TMtx.RefineSolution Property

Summary

Enables/disables the refining of the solution of the system of linear equations.

Class
TMtx

Declaration

Property RefineSolution: boolean read FRefineSolution write SetRefineSolution default false;

Description

The method enables/disables the refining of the solution of the system of linear equations, computed by LUSolve method. When RefineSolution is enabled, an iterative refinement of the solution to a system of linear equations is executed. For each computed solution the component-wise backward error and the the component-wise forward error in the computed solution are calculated as well.

See Also
BackError
ForwError
LUSolve

Example 1

      var X,B: TVec;
        A: TMtx;
      begin
        CreateIt(X,B);
        CreateIt(A);
        try
          B.SetIt(False,[0,2]);
          A.SetIt(2,2,false,[1,2,
                            3,4]);  // 2x2, not complex matrix
          A.RefineSolution := True;
          A.ConditionNumber := cnNormInf;
          A.LUSolve(B,X);
        finally
          FreeIt(B,X);
          FreeIt(A);
        end;
      end;