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At the beginning of this paper, we briefly introduced the fundamental knowledge of the Newton iterative methods , and the local convergence theorem which extended the classical Newton method, because of the local convergence, the theorem had its certain restrict. Large-scale convergence theorem was proved under the condition that matrix M is irreducible diagonally dominant by Newton's method with line search.At the last part of this paper, we present the method for solving linear complementarity problems arising from journal bearings.

本文首先介绍了Newton型迭代法的基础知识,然后着重介绍了B-可微方程的Newton法,给出B-可微法的局部收敛结论,推广了古典的Newton法,但由于收敛的局部性,该算法仍有一定的不足之处;文章在证明大范围收敛定理时,假设M是不可约对角优势矩阵,采用一维Newton寻查的方法,保证算法的收敛性。

Constructing a unitary matrix for transformation of coordinates by means of quadratic form theory,the Hamiltonian of the 3D coordinate-momentum coupling harmonic oscillator is transformed into diagonalmatrix,it not only offer a general mathematic method for solving this kind of problems,but also have an active effect upon upgrading students ability to solve physics problems by mathematical theory.

利用二次型理论构造一个幺正矩阵进行表象变换,将|x〉表象中的三模坐标-动量耦合量子谐振子体系的哈密顿量对角化,这不仅提供了一种解决该类问题的一般数学方法,同时对培养和提升学生运用数学工具解决复杂物理问题的能力也具有积极的指导作用。

Two closest single-qubit states could be diagonalized by the same unitary matrix, which helps find the relative entropy of entanglement of a two-qubit \lq\lq X\rq\rq ~ state.

两个相隔最近的单比特量子态可以被同一个酉矩阵对角化,这一结论在文章中被严格证明。这一结论对求"X"型两比特量子态的相对熵纠缠很有帮助。

The parallelization method can be used to any incomplete factorization preconditioner.

这种并行化方法可以应用于块三对角线性方程组的任何不完全分解型预条件。

Hybrid diffractive-refractive 60°-diagonal field of view optical seethrough head-mounted display.

杨新军,王肇圻,母国光,等。60°对角视场的折/衍混合透视型头盔显示器。

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It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发,分析对称连杆曲线上鲍尔点的产生条件,提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品,年生产总值3000万美元,产品价廉物美、选料上乘、质量保证,深受国内外客户的青睐

The eˉtiology of hemospermia is complicate,but almost of hemospermia are benign.

血精的原因很,以良性病变为主。