Under appropriate conditions , we obtain the global and quadratic convergence of the proposed method 在適當?shù)臈l件下,我們證明了算法的全局收斂性和二階收斂性。
We have deduced the iterative formula by the theory of the dynamic system , proved that the quadratic convergence holds under the weak conditions , and done the numerical experiments 利用動力系統(tǒng)理論推導出該方法的迭代公式,證明其在某些弱條件下至少是二階收斂的,最后給出了數(shù)值結果。
On the basis of this reformulation , it is proved that the system of nonsmooth equations is strongly semismooth so that the generalized newton method for solving this system possesses locally quadratic convergence 在此基礎上,證明了非光滑方程是強半光滑的,因而解此方程的廣義牛頓法具有局部二次收斂性。
It exploits the structured of the hessian matrix of the objective function sufficiently . an attractive property of the structured bfgs method is its local superlinear / quadratic convergence property for the nonzero / zero residual problems . the local convergence of the structured bfgs method has been well established 它們充分利用了目標函數(shù)的hesse矩陣的結構以提高算法的效率,該算法的顯著優(yōu)點是對于零殘量問題具有二階收斂性而對于非零殘量問題具有超線性收斂性。