A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method

Algorithm 2:

Effective Dai-Liao (EDL) CG method.

Require: An initial point and quantities , .

1: Assign and .

2: If

      and ,

 STOP;

 else go to Step 3.

3: Calculate using Algorithm 1 (backtracking line search).

4: Compute .

5: Calculate , , .

6: Compute by (16).

7: Calculate by (18).

8: Compute .

9: Let , and go to Step 2.

Algorithm 2: