查询词典 triangular decomposition

In [3], Professor Wang Xian-dong discussed the evaluation modules of Loop algebras of Lie algebras with a triangular decomposition; particularly, irreducibility of the tensor product of finitely many such modules was partially determined.

在[3]中，王宪栋教授讨论了可三角分解李代数其Loop代数的赋值模；特别值得一提的是，在一定程度上确定了有限多个赋值模其张量积的不可约性。

After the setup of a table of the spectral factorization results of each array of matrix, the SF decomposition can give the lower triangular matrix by reading the table.

特别是在复杂介质的偏移计算中，分解误差随介质的不均匀性程度的增大而增大，严重影响着波场的计算。

Based on multiresolution decomposition of the triangular mesh model, a new image compression method is proposed.

基于三角网格模型的多分辨分解，提出了一个新的图像压缩方法。

The developments of this paper are based on the generalized triangular decomposition recently introduced by Jiang, Li, and Hager.

发展本文是基於广义三角分解。

Lanczos method is optimized in LDLT triangular decomposition 、 vector reorthogonalization and result judgement. At the same time a new method of result judgement is brought forward, and named mode compare method. The example proves the optimized results of the method.

在LDLT三角分解、向量重正交及丢根判断等步骤上，对Lanczos算法进行了多步优化，同时提出了新的丢根判断方法——模态比较法，并给出算例对优化效果进行了验证。

In this paper, the maximum likelihood algorithm with process and measurement noise for nonlinear continuous-discrete system given by Jategaonkar and Plaetschke is improved in two aspects: 1 to avoid the disadvantages of sensitivities computation by common finite-difference method, in which the perturbation sizes should be selected optionally, an improved finite-difference method with best perturbations, is presented. 2 to improve the numerical stability of Jategaonkar's algorithm, maximum likelihood algorithm with fast triangular square-root decomposition filter is given.

摘要对Jategaonkar等人给出的同时计及过程及观测噪声的非线性连续-离散系统的极大似然算法从两个方面进行了改进：1给出了计算灵敏度的最佳摄动有限差分算法，避免了普通有限差分法计算灵敏度矩阵时需人为选择参数摄动量大小而带来的缺点；2给出了具有快速三角化平方根滤波的极大似然算法，提高了原算法的数值稳定性。

Testing in terrain relief, and the algorithms can optimize the structure of TIN nicely.(2) According to the smoothness of the terrain and correlation between adjacency data points, the paper studied the possibility of smooth surface constructing of DEM based on TIN. Then based on Tayor fomula, vertical normal vector, triangular decomposition, continuous and smooth of surface and so on, a new kind of interpolate model of DEM was proposed based on TIN.

2分析原始地形起伏变化的连续光滑性以及邻近数据点之间的相关性，探讨了基于TIN的DEM光滑曲面构造的可行性，并基于二元泰勒公式、三角面剖分、曲面的连续光滑性等，提出了一种TIN上的DEM表面光滑插值模型，并通过构造数学曲面进行精度评估，并对模型进行了可视化分析。

Jacobian Davis iterative method of solving equations AX = B, least squares polynomial fitting, portfolio Simpson formula for integration, with a triangular decomposition method of solving equations AX = B.

拉格朗日插值多项式拟合，牛顿插值多项式，欧拉方程解偏微分方程，使用极限微分求解导数，微分方程组的N=4龙格库塔解法，雅可比爹迭代法解方程AX=B，最小二乘多项式拟合，组合辛普生公式求解积分，用三角分解法解方程

Based on wave propagation feature, this paper analyses 3D seismic migration algorithms such as alternating direction implicit method, LU decomposition method, and inverse operator approach method. The result shows that the alternating direction implicit method is fast but causes distortion in wave field extrapolation and affects image accuracy; however LU decomposition and inverse operator approach methods are fast while holding circular symmetry of wave field, and are promising in oilfield exploration and development.

在波的传播特征分析基础上，对交替方向隐式法、LU分解法、逆算子逼近法等三维地震偏移算法进行了分析研究，结果表明，交替方向隐式法虽然快捷但是在波场外推中明显产生畸变并影响成像的准确性，而LU分解和逆算子逼近法是保持波场圆对称特征前提下的快速算法，在油田勘探开发中具有较好的应用前景。

The phenolic acid content of litter was significantly reduced with the decomposition time prolonging, and the releasing quantity of phenolic acid was the highest at the tenth day. The amounts of soil Aerobic azotobacter, Ammonifier and Aerobic cellulose-decomposer and the soil chemical properties such as pH, phenolic acid content, NH+4-N and available phosphorus were significantly affected by the litter aqueous extract of four decomposition stages.

凋落物分解的60 d中，凋落物残留量在前30 d内变化最大，30 d后无显著变化；凋落物中酚酸含量随分解时间的延长，呈显著降低的趋势，且在分解10 d时，酚酸释放量最大。4个分解动态的凋落物浸提液显著地改变了土壤好气性自生固氮菌、氨化细菌、好气性纤维素分解菌的数量和土壤pH值、酚酸含量、铵态氮、有效磷等化学性质。

A strange and mysterious deep sea creature.

一种奇异、神秘的深海生物。

It's a yellow rectangle .

这是黄色的长方形。