查询词典 triangular factorization

By means of similarity transformation upon the state matrix, an upper triangular matrix or lower triangular matrix is found. The eigenvalues of the original system can be obtained through a series of low-dimension matrixes over the principal diagonal.

该方法对系统状态矩阵进行相似变换，得到分块上三角或下三角矩阵，使原系统特征值可以通过主对角线上一系列相互独立的低维矩阵求得。

Comparing with traditional LU numerical decomposition algorithm to solve each row of lower triangular matrix L and each column of upper triangular matrix U, the proposed method is easy to program and efficient In addition, the structure symmetry of Jacobian matrix and the experience of compiler optimization are also adopted in this research, it makes less required memory for the proposed algorithm and higher calculation efficiency.

这种算法和求取L阵每列和U阵每行的传统LU分解方法相比，具有编程简单、计算效率高的优点。另外，雅可比矩阵结构对称以及编译器优化的经验也应用到文中，使得算法不仅占用内存较少，且效率较高。

By using the method of limited unit , we build up the stiffness matrix of triangular unit of the light gauge sheet of variable thickness and produce the mathematic model for the computation of the stress and displacement at the center of the triangular unit .

应用有限元方法，建立了变厚度薄板三角形单元刚度矩阵，给出了变厚度薄板三角形单元形心上的应力和位移计算的数学模型。

Sepals triangular to ovate-triangular; leaf blades abaxially densely white tomentose, shallowly obtusely serrate.

萼片三角形到卵形三角形；浓密白色被绒毛的叶片背面，浅钝锯齿。

Plant high 30-70 cm; leaves triangular to triangular-ovate; margin of tepals and anthers purple; fruit orbicular.

植株高的30-70厘米；叶三角形的到三角状心形；花被片和花药的边缘紫色；果圆形。

The approach of solving mean curvature,Gaussian curvature and principal curvatures of general triangular mesh model was derived.Considering coarse triangular mesh model is often seen,in order to increase the precision of curvatures,combined with Loop subdivision algorithm,the curvature algorithm was further extended.

推导了一般三角形网格模型顶点的平均曲率、高斯曲率和主曲率的计算方法，考虑到经常遇到粗糙三角形网格模型，为提高其曲率计算方法的精度，结合Loop细分曲面算法，进一步拓展了该曲率计算方法。

A fuzzy AHP decision model is constructed by establishing thesequence hierarchy on the principle of triangular fuzzy number comparison from the judgment matrix built on the concept of triangular fuzzy number.

根据三角模糊数的概念构造判断矩阵，基于三角形模糊数比较原理进行层次单排序，得到模糊AHP决策模型。

In order to embody the fuzzy character in evaluation, the traditional analytic hierarchy process is developed into a fuzzy one. The introduction of triangular fuzzy number can contain more fuzzy information of evaluation. The ranking method for reciprocal judgement matrix with triangular fuzzy numbers is also presented. Based on the mode identification process, the mathematical model of multi-level and multi-object evaluation using fuzzy approach degree is set up primarily.

为了更加有效地反映评估对象的模糊性，本研究将传统的层次分析法拓展到模糊领域，引入三角模糊数的概念，并对模糊评判矩阵的排序方法进行了研究，在此基础上，提出了基于模糊集贴进度的模式识别评估方法，建立起润扬大桥悬索桥多层次多目标综合评估模型。

By introducing the methods for transforming exact numbers and triangular fuzzy numbers trapezoidal fuzzy numbers, the ranking method is also practicable for ranking reciprocal judgment matrix with exact numbers and triangular fuzzy numbers.

同时给出精确值、三角模糊数的互补判断矩阵转化为梯形模糊数互补判断矩阵的方法，因此本文方法同样适合于处理精确值、三角模糊数的互补判断矩阵的排序问题。

In this paper,the following transformations are introduced in computer aided planar composition:sectorial transformation triangular transformation,trigonometric function/triangular wave transformation, madulation transformation and spherical mirror reflection transformation.

该文探讨和总结了在计算机辅助平面构成中的5种特殊变换：扇形变换、三角形变换、三角函数／三角波变换、调制变换、球面镜反射变换。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。