查询词典 iterative method for eigenvalue problems

An iterative algorithm for a class of set- value d mixed variational inequalities is presented by means of resolvent operators of set- value d mappings, and the convergence of the iterative algorithm is discussed.

摘要利用集值映射的预解算子，提出了求解一类集值混合变分不等式问题的迭代算法，并讨论了该算法的收敛性，推广了已有文献的结果。

In chapter 2, for the iterative matrix M~(-1)N in solving linear system, upper bounds of the spectral radius of some iterative matrix are discussed.

第二章针对迭代求解线性方程组中的迭代矩阵M~(-1)N，讨论了其谱半径的上界估计。

In SMFSIA/CAG, to increase computational efficiency in solving the matrix equation, both the speed of the iterative convergence and the matrix-vector multiplication are picked up based on iterative theory. The extended formula of the high order Taylor's series about the horizontal distance is derived. The relationship between the Taylor's series or the neighborhood distance and the efficiency of the arithmetic are analyzed.

在SMFSIA/CAG中，基于迭代法的原理，通过加快迭代收敛速度和加速矩阵向量积两个方面对该算法进行了改进，推导了关于平面展开的高阶泰勒级数展开公式，并对近场相关距离和泰勒级数展开阶数对算法效率的影响进行了分析。

The constructing process of the algorithms itself indicate that they are brevity and have definite geometric meaning, scientific iterative terminal criterions and no strict requirement to function. Finally, some digital experimentation is presented to indicate the algorithms application in solving the problem of maximum of function, transcendental equation,integer programming and so on. The results indicate that the algorithms have more global and more adaptability compared to traditional algorithms and have more calculating efficiency and more scientific iterative terminal criterions compared to some present popular artificial intelligence algorithms.

算法的构造过程本身表明了该算法简单明了、几何意义明确、迭代终止准则科学、对函数的要求较低；最后举了几个数值试验的例子以说明该类算法在求函数的最值，解超越方程以及整数规划等问题中的应用；数值试验的结果标明该算法比单纯由"微分"思想演化而来的传统算法有更好的全局性和对问题的更广泛的适应性，比现在流行的一些人工智能方法有更高的运算效率和更适当的迭代中止准则。

In this paper, the effects to image reconstruction by adopting different ways of sequence's truncation in unrelaxed iterative algorithm is discussed and further studying on the conditions to iterative reconstruction with phase -only have been done.

Sh~n在1949年发表了采样定理，提出在一定条件卜，可以用离散采样值重构带限连续信号。七十年代，l铭an等人提出了几个从零交叉点重构带通或带限信号的定理及其算法。1983年J.L.C.Salu和T.S.Huang对各种关于频谱有限信号外推问题的算法进行分析，提出了统一的迭代算法。

In section 3, on the base of the iterative algorithm, we obtain a new iterative algorithm which is convergent to the signal faster than the old one. In section four, if the form of φ is simple and the sampling set is the integer set Z, then a direct reconstruction formula is presented.

在第二节，我们通过计算对偶框架来重建信号，这与传统的计算对偶框架方法不一样，该算法是通过计算一个矩阵的逆矩阵来计算对偶框架，当矩阵是奇异矩阵时，可通过奇异值分解方法或截断奇异值分解算法来求矩阵的广义逆矩阵。

In this paper, an iterative algorithm is proposed to find the generalized centrosymmetric solution pair of matrix equation AXA~T+BYB~T=C. The solvability of the matrix equation can be determined automatically in the iterative process. When the matrix equation is consistent, the solution pair can be obtained within finite steps in the absence of round-off errors.

该论文运用迭代方法研究了矩阵方程的一般中心对称解解，特别地，当矩阵方程是相容的时，经过有限步就能求出该方程的一般中心对称解解，然后以此为主要依据进一步研究了矩阵方程的最优近似解，最后举例验证了该论文的主要结论。

When the matrix equation is consistent, its centrosymmetric solution can be obtained within finite iterative steps in the absence of round off errors for any initial centrosymmetric matrix X1, and its least-norm centrosymmetric solution can be derived by choosing a suitable initial iterative matrix.

当矩阵方程AXB+CXD=F有中心对称解时，在有限的误差范围内，对任意初始中心对称矩阵X1，运用迭代算法，经过有限步可得到矩阵方程的中心对称解；选取合适的初始迭代矩阵，还可以迭代出极小范数中心对称解。

Methods The CF iterative algorithm was applied to update the noisy detected emission sinogram data using the latest reconstructed image in the iterative process of PET reconstruction.

在PET重建的迭代过程中，此种负反馈迭代算法利用最近的一次重建图像来更新有噪声的探测到的发射正弦图数据。

Based on fractal coding the index file have two characters: First, similar images have similar iterative function so as to produce similar index file, and the similar index file can retrieval the similar image; Second, unsimilar images have unsimilar iterative function, vice versa.

这个分形编码方法建立的索引文件具有三个性质：(1)相似图像有相似分形函数能产生相似索引文件，相似索引文件能检索到相似图像；(2)不相似图像有不相似分形函数，反之亦然。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。