%A Ning Zhang,Jinkui Liu %T Spectral LS-type Projection Algorithm for Solving Nonlinear Pseudo-Monotone Equations %0 Journal Article %D 2022 %J Acta mathematica scientia,Series A %R %P 1886-1897 %V 42 %N 6 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_16901.shtml} %8 2022-12-26 %X

Based on the structures of the spectral gradient method and the famous LS conjugate gradient method, in this paper we establish an spectral LS-type derivative-free projection algorithm to solve nonlinear pseudo-monotone equations with convex constraints. By using the spectral parameter, the proposed method can generate the descent direction in each iterate, which is independent of any line search. Under some usual assumptions, the global convergence of the proposed method is proved by using the classical derivative-free line search condition. Numerical experiments show that the proposed method inherits the excellent computational performance of the LS conjugate gradient method and improves its stability.