Research Article

A Modified Three-Term Type CD Conjugate Gradient Algorithm for Unconstrained Optimization Problems

Algorithm 1

The modified three-term type CD conjugate gradient algorithm.
Step 1: Given the initial point , constants , , , let , .
 Step 2: If , then, stop; otherwise, proceed to the next step.
 Step 3: Compute step size by the line search (7) and (8).
 Step 4: Let .
 Step 5: If holds, let , , and go to Step 7; otherwise, go to Step 6.
 Step 6: Let be defined by (9), , and .
 Step 7: If , stop; otherwise, proceed to next step.
 Step 8: Calculate the search direction by (11).
 Step 9: Let , and go to step 2.