迭代次数

Firstly, we prove a proposition : the leading coefficient regarded as a polynomial in q~n, q~(1/2 of the recurrence is not equal to zero for all n ≥ [m/2] + 1, where m is the degree in q~(1/2) of the leading coefficient.

首先，我们证明了一个命题：迭代关系的首项系数关于q~n，q~(1/2的多项式对所有的n≥1[m/2]+1均不为零，其中m为首项系数中q~(1/2)的次数。

In Chapter 4, a symmetric triangular partitioned secant method for solving large scale sparse unconstrained optimization problems is constructed, which is a combination of a secant method and a finite difference method, and depends on a consistent partition of the columns of the lower triangular part of the Hessian matrix; it reduces the number of gradient evaluations required by Powell and Toints algorithm (the indirect lower triangular substitution algorithm) by one at every iterative step.

此算法是基于稀疏Hesse阵的下三角部分的列的相容分划的基础上建立起来的，把割线法和有限差分法有机的结合在了一起，在每次迭代中，把由Powell和Toint的算法所需要的梯度赋值次数减少了一。

The methods most in use to the solution of the problem with unacceptable frequency bands: one is a mathematical programming or optimum criterion method; the other is structure matrix perturbation.

前者的局限性是结构重分析次数多，计算时间长；后者虽可在一定程度上避免重分析，但其迭代步长难以确定。

This paper has proposed a method controlling iteration number and stability of solution according to thought of integral convergence algorithm minimizing nonlinear equations.

本文利用求非线性方程组极小化全局收敛法的思路，提出了控制迭代收敛次数、控制反演解稳定的方法。

The traditional box-counting algorithm is based on the grid document and has some serious shortcomings, such as the distortion of the image being enlarged, the trivialness of the process and the finite of the iterative degree, etc.

实践表明，该算法有3个优点：（1）图像不会随着放大缩小而失真；（2）可完全进行计算机操作，且简单可靠；（3）从某种意义上讲，由于迭代的次数可以是无穷的，所以能非常精确地确定图形的标度空间，并可获得精确的分维值。

In the first chapter, we used the method of majoring sequences to studied the convergences of Newton s methods of " reducing the counting of derivative" and "without inversing of derivative under weak conditions".

在第一章中，用优序列方法研究了减少导映照计值次数和避免导映照求逆的牛顿迭代在弱条件下的收敛性。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。