A Modified Nonlinear Conjugate Gradient Method with the Armijo Line Search and Its Application

Algorithm 1

NPRP method with Armijo line search.

	Step 0: Choose an initial point , constants . Compute. . Set .
	Step 1: If , then stop the iterations. Otherwise, continue with step 2.
	Step 2: Compute the system of equations (3) to get , where is obtained by (13).
	Step 3: Determine a step size by the Armijo line search (10).
	Step 4: Compute , .
	Step 5: Let and go to Step 1.