A Sufficient Descent Spectral Conjugate Gradient Method

First,a class of sufficiently descent spectral conjugate gradient method is put forward,which satisfies both conjugacy condition and descent condition,while the standard conjugate gradient method only meets conjugacy condition.Then,the global convergence of the new method is proved with the reduction to absurdity under the Wolfe line search.Finally,iterative times and computing time are compared between the new algorithm and the existing SHS...