平方收敛

给出了求解非光滑方程组的NewtonFOM算法和NewtonGMRES算法，证明了这些Krylov子空间方法的局部平方收敛性。

Newton-FOM algorithm and Newton-GMRES algorithm for solving nonsmooth equations are presented . It is proved that these Krylov subspace algorithms have locally quadratic convergence .

具有参数的不带有导数的平方收敛的迭代法

Parametric iterative methods of quadratic convergence without the derivative

本文得到了以Legendre多项式及以Tchebycheff多项式的导数的零点为插值结点组的拉格朗日插值多项式于平方收敛意义下的收敛速度。

This paper gives an upper bound for the rate of square mean convergence of the Lagrange process on the zeros of the derived function of Legendre polynomials and Tchebycheff polynomials .

本文就Dirichlet边界最小面积问题所提出的拟线性方程使用有限元法离散化，用牛顿法使其线性化，并证明了应用牛顿法求解非线性有限元离散方程（5）是平方收敛的。

This paper is concerned with the solution of the discrete nonlinear system [ 5 ] by the Newton method for the Dirichlet problem of minimal surface posed in the finite element method . It has been proved that there exists a sort of square convergence rate .

无导数的大范围平方收敛迭代算法及其数值分析

A derivative-free iterative algorithm with global second-order convergence and its numerical analyses

求导数零点的一种大范围平方收敛的新算法

A New Square Convergent Global Convergence Algorithm of Searching Zero of Derivative Function

二次规划的Q－平方收敛算法

A Q-quadratic Convergent Algorithm of Quadratic Programming

超平方收敛的2步法公式

Two-step methods formule with super-quadratic convergence

本文导出了非线性弹性及全量弹塑性有限元分析中的一致性切线模量，从而可以保持牛顿迭代法固有的平方收敛速度。

Consistent tangent moduli for finite element analysis of nonlinear elasticity or total elastoplasticity are deduced to preserve the asymptotic rate of quadratic convergency possessed by the Newton iteration method .

第三章考虑一类带有控制项的非线性奇异微分方程，采用拟线性化方法进行处理，得到逼近解序列一致且平方收敛于方程的解。

In chapter three , the quasilinearization method is extended to nonlinear singular system with control , we obtain two monotone iterative sequences converging uniformly and quadratically to the solution of the given problem .

连平方根序列的收敛性及其应用

The convergence and applications of continued square Root 's sequence