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1)  Lanczos algorithm
Lanczos迭代
1.
In this paper, a large sparse symmetric linear equations of solving 3D geoelectric field of point source is formed by finite difference method and simultaneously the theory and alternative course of Lanczos algorithm which is suitable to solving such equations are expounded, which is a Krylov subspace methods and has the advantages of fast convergence, stability and less memo.
通过采用有限差分法来构造出求解点电源三维地电场的大型稀疏对称线性方程组,并引入Lanczos迭代技术,构造出三对角阵方程组,然后采用正交分解法进行求解,它是Krylov子空间方法中的一种。
2.
In this paper, a symmetric tridiagonal system of equations is formed by Lanczos algorithm, simultaneously solving such equations is explained by using orthogonal decomposition method, this algorithm has the advantage of fast convergence, stability and less memory.
而正演计算往往涉及到求解大型线性方程组Ax=b的问题,通过Lanczos迭代构造出对称三对角阵方程组,并采用正交分解法进行求解,与传统算法相比,此算法占用内存少、收敛速度快、且稳定;针对大型稀疏矩阵的特点,采用简单地记录矩阵的非零元素值及其所在行、列值的方法,来存储大型稀疏矩阵,可大大节省机器内存,提高运算速度。
3.
The coefficient matrix with such improvement is approximately a unit matrix and the improved Lanczos algorithm will improve numerical stability and convergence of iterative procedures.
针对三维地电场正演数值计算过程中形成的超大规模稀疏线性方程组,在分析此类线性方程组的一般解法基础上,着重阐述一种适宜求解此类方程组的Lanczos迭代过程与算法原理。
2)  iterative [英]['itərətiv]  [美]['ɪtə,retɪv]
迭代
1.
Improved iterative compensation method for diffraction in SAW filters;
声表面波滤波器衍射迭代补偿的改进算法
2.
A fast iterative algorithm for very large Fibonacci numbers;
超大Fibonacci数的快速迭代算法
3.
Curvilinear synthetic aperture radar iterative algorithm;
曲线合成孔径雷达迭代算法
3)  iteration [英][,itə'reiʃən]  [美][,ɪtə'reʃən]
迭代
1.
High-precision and fast square root algorithm based on Newton iteration method;
基于牛顿迭代法的高精度快速开方算法
2.
An iteration method to seek the matrix inversion;
一种求逆矩阵的迭代方法
3.
Finite element iteration method for stability safety factor of known sliding surface;
已知滑动面边坡稳定安全系数的有限元迭代解法
4)  iterative method
迭代
1.
Error grade iterative method of BP neural networks;
神经网络BP算法的误差分级迭代法
2.
While seeking maximum flux on pipeline , we must consider the infection of pumps with each other, and use the iterative method.
长输管线的密闭输送方式采取"泵到泵"接力运行,全线是一个统一的整体, 对管线最大通过能力的计算,要考虑前后泵站间的相互影响,进行迭代计算。
3.
The perturbation vector of original structure is processed by the Padé approximation to get the increasing perturbation solution of the transitional structure, and to achieve an accurate result with iterative method, furthermore, the combination of the results.
讨论了矩阵摄动理论结合Pad啨逼近在结构拓扑修改重分析中的应用,利用分步迭代的方法来取得高精度的近似解。
5)  iterate [英]['itəreit]  [美]['ɪtə,ret]
迭代
1.
The paradox can not be solved accurately in pure math system and should be iterated to find appoximantion of force and temperature.
该悖论在纯数学系统中是无解的,只有通过迭代计算才能求得力和温度的近似
2.
Newton iterate method is one of the very useful methods in approximating zero points of functions (especial in approximating the roots of polynomials).
牛顿迭代法是一种非常实用的计算方法,无论是函数零点的确定(它的特例是多项式求根)还是非线性方程组的求解。
3.
Two classes of planar polynomial maps satisfying that the arbitrary iterates do not increase their degree are studied.
研究了两类平面多项式映射的迭代,讨论了它们在迭代运算下次数不增的条件。
6)  iteration method
迭代
1.
With analytic method,an iteration method was developed to find the initial states of suspension bridge with two design parameters,this method can calculate the catenary equation in variable temperature field.
利用解析法推导了变温度场中悬索桥空缆线形的悬链线线形公式;建立了两种已知设计条件时悬索桥空缆线形的迭代方法;根据主缆的温度变化方程导出了温度变化时无应力索长计算公式。
2.
We have carried on the intensity of finite element method to Curved Rake Tine Frame and Headstock of film recycling machine, the loads was added by iteration method, which was much fit to work condition.
介绍了一种悬挂式残膜回收机的结构及其工作原理,对悬挂式残膜回收机的耧膜齿架及耧膜齿进行了有限元分析,加载时采用逐次迭代加载的方法进行,这种加载方式与实际工作情况更为吻合。
3.
As some elements of the stiffness matrix have non-linear terms, which depend on the amplitude of the plate, iteration method is necessary.
同时考虑横向振动和板平面内的运动,用3节点有限元研究均匀圆板的轴对称大振幅非线性振动,构造了一个避免发散加速收敛的平均迭代法,并将计算结果与文献的已有结果做了比较。
补充资料:层层迭迭
1.见"层层迭迭"。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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