查询词典 factorization method

In this paper, firstly the elimination tree theory is introduced in brief, and the structure of Jacobian matrix is determined by use of symbolic factorization; then by use of sparse vector method each column of lower triangular matrix L and each row of upper triangular matrix U are solved.

介绍了消去树理论，并采用符号因子分解技术确定雅可比矩阵的结构，然后采用稀疏向量法求取L阵的每行和U阵的每列。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

Non-negative matrix factorization is an effective method for parts-based feature extraction, and it can deal with partial occlusion and some illumination problems.

非负矩阵分解是基于部分的特征提取方法，能够克服局部遮档和光照问题，在图像识别任务中效果较好。

Non-negative matrix factorization is an effective method for partsbased feature extraction, and it can deal with partial occlusion and some illumination problems.

非负矩阵分解是基于部分的特征提取方法，能够克服局部遮挡和光照问题，在图像识别任务中效果较好。

The covariance learn the method to include the related analysis, factorization the method, t test.

统计学方法包括相关分析法、因子分析法、t检验。

The inverse function module based on the parallel and efficient systolic array structure uses the LU factorization of the matrix inversion method.

求逆功能模块基于并行、高效的心动阵列结构，采用上下三角分解求逆法。

An optimal control law is obtained by minimizing the average performance through spectral factorization and a practical control method for integrator and dead time plant is presented in the presence of plant uncertainty and control energy constraint.

首先基于一类随机模型误差的描述，定义了一个平均意义上的包含跟踪误差和控制能量在内的性能指标；然后通过谱分解极小化该性能指标，导出一个最优的控制律，从而为模型不确定性和控制能量约束并存条件下一类非自衡对象的最优控制问题提供了一种实用的控制方法。

Due to the effect of curvature of shell, the equation of motion of elastic waves in shell is much more complex than that in plate. The method of operator factorization can't be directly used to solve the equation of motion of elastic waves in shell by reducing it to the second order partial differential equations.

由于壳体曲率的影响，使得壳体的弹性波动方程比平板的运动方程复杂得多，难以直接采用算子因式分解方法，将其化成二阶偏微分方程求解。

In this paper, we study structure-preserving algorithms for some doubly structured matrices and structured backward errors by Van Loans squared reduced method, quasi-QR factorization and Wielandt-Hoffman theorem.

本文利用Van Loan的平方约化方法，拟QR分解，Wielandt-Hoffman定理等对一些双结构矩阵特征值算法和结构向后误差进行了研究。

For the LS problem, the method of normal equations needs less computation but its computed solution has poor accuracy. If QR factorization is used, more accurate solution can be got. However, its computation is nearly as twice as the method of normal equations.

对于线性最小二乘问题，混合方法的提出是企图在法方程法与QR分解方法之间取得某种平衡，希望能够节省计算量又同时保持计算解达到较高精度，但后者在理论上并未得到证明。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。