Research Article

A HS-PRP-Type Hybrid Conjugate Gradient Method with Sufficient Descent Property

Algorithm 1

Algorithm framework.
Step 0: (initialization) given the initial point , . Set and .
Step 1: stop if .
Step 2: compute the stepsize by an appropriate line search rule.
Step 3: generate the new iteration point by and compute according to (14).
Step 4: compute the next direction by (3), set , and go to Step 1.