To address the non-negativity dropout problem of quaternion models, a novel quasi non-negative matrix factorization (QNQMF) model is presented for color image processing. implement QNQMF, projected gradient algorithm and alternating direction method multipliers are proposed via formulating QNQMF as non-convex constraint optimization problems. Some properties algorithms studied. The numerical ex...

In this paper, non-monotone line search procedure is studied, which is combined with the non-quasi-Newton family. Under the uniformly convexity assumption on objective function, the global and superlinear convergence of the non-quasi-Newton family with the proposed nonmonotone line search is proved under suitable conditions.