A Modified Spectral PRP Conjugate Gradient Projection Method for Solving Large-Scale Monotone Equations and Its Application in Compressed Sensing

Algorithm 1

Modified spectral PRP derivative-free projection-based algorithm (MPPRP).

Input:

An initial point , positive constants , , , and .

Begin:

;

;

While ( and )

Step1. (Search direction)

Compute by (9) and (11).

Step2. (Step length)

;

Compute .

While ()

;

Compute .

End While

;

Step3. (Projection and update)

;

If

;

Break.

End If

Compute by (7);

;

.

End While

End