矩阵的迹,trace of matrix
1)trace of matrix矩阵的迹
1.Our results were as follows: (1)We divided the class of symmetric primitive matrix with its nonzero trace into two subclasses by thetrace of matrix:SB_n=SB_n(Ⅰ)∪〖WTHX〗SB_n(Ⅱ),SB_n(Ⅰ)∩SB_n(Ⅱ)=[FK(W+3.所得结论是:①把迹非零对称矩阵类SBn按照矩阵的迹划分为互不相交的两大子类:SBn=SBn(Ⅰ)∪SBn(Ⅱ),SBn(Ⅰ)∩SBn(Ⅱ)=Φ;②以无向图G的直径d(G)为参数,确定出子类SBn(Ⅰ)的本原指数集E1={1,2,…,n-1}和子类SBn(Ⅱ)的本原指数集E2={2,3,…,2n-2}\S,其中S是{n,n+1,…,2n-2}中的所有奇数之集;③进而刻画出迹非零对称矩阵类SBn的本原指数集En=E1∪E2={1,2,…,2n-2}\S。
2.Gives some upper bounds and lower bounds for eigenvalues usingtrace of matrix.给出了一些用矩阵的迹表示的特征值的上、下界 。
英文短句/例句
1.A Inequality of Matrices Trace关于矩阵的迹的一个不等式及其应用
2.On the trace and eigenvalues of the structure matrix of a graph图的结构矩阵的迹和特征值(英文)
3.Some Inequalties for the Trace of Hermitian Matrices;关于Hermite矩阵的迹的不等式
4.The Trace of A Positive SemidefiniteHermite Matrix and Its Application;半正定Hermite矩阵的迹及其应用
5.SOME INEQUALITIES FOR THE TRACE OF HERMITE MATRIXHermite矩阵迹的几个不等式
6.Bellman inequalities of generalized matrix trace广义矩阵迹的贝尔曼不等式(英文)
7.SEVERAL IMPORTANT INEQUALITIES OF HERMITE POSITIVE DEFINITE MATRIX TRACEHermite正定矩阵迹的几个重要不等式
8.Eigenvalues Estimate of Trace Dominent Matrix and Establishment of Fuzzy Judgment Matrix;对迹占优矩阵特征值的一种估计法及模糊判断矩阵的建立
9.The Estimates of Solution of Discrete Lyapunov Equation and the Trace Bound for the Product of Real Square Matrices;离散Lyapunov方程的解和一般矩阵积的迹界的估计
10.The base of primitive non-powerful symmetric sign pattern matrices with non-zero traces迹非零的本原不可幂对称符号模式矩阵的基
11.BESⅡ Error Matrix Correction on Charged Channel北京谱仪Ⅱ带电径迹测量误差矩阵的修正
12.Non-Negative Matrix Factorization Based Off-line Handwriting Identification;基于非负矩阵分解算法的离线笔迹鉴别
13.Linear rank-1 preservers on spaces of zero-trace matrices over fields域上迹零矩阵空间上的线性秩1保持(英文)
14.The Characteristic of Self-conjugate Quaternionic Matrices and Two Necessary and Sufficient Conditions Concerning the Inequalities of the Traces of Quaternionic Matrices;自共轭四元数矩阵的特征及迹不等式的两个充要条件
15.OPTIMAL ESTIMATIONS IN A GENERAL GROWTH CURVE MODEL BY TRACE MEANS;矩阵迹意义下的一般增长曲线模型参数的最优估计
16.Resolubility of Trace Zero Symmetric Stochastic Matrices for the Inverse Eigenvalue Problem;一类有零迹的对称随机矩阵特征值反问题的可解性
17.One Theorem for the Matrix e~A and Its Application关于矩阵e~A的一个定理和应用——SU(n)群生成元的零迹证明
18.If A is the mxn matrix, then the nxm matrix is called the transpose of A.如果A是mxn矩阵,那么nxm矩阵为A的转置矩阵。
相关短句/例句
Matrix trace矩阵的迹
1.This paper studies relation between the linear function and the matrix trace, and obtains a number of necessary and sufficient the condition that a linear function is trace of matrix.讨论线性函数与矩阵的迹的关系 ,给出了一个线性函数是矩阵的迹的若干充要条件。
2.In this paper,the author discuss several special matrix traces,gives their general results,and illustrates their application in proving correlative questions.文章讨论了几类特殊矩阵的迹 ,给出了它们的一般结果 ,并举例说明它们在证明相关问题中的应
3)trace of a matrix矩阵的迹
4)subtrace of matrix矩阵的次迹
5)trace inequalities of matrix矩阵迹的不等式
6)generalized trace of a matrix矩阵的广义迹
1.In this paper we present the concept of the generalized trace of a square matrix, which is a natural generalization of the concept of the matrix trace,and discuss the properties of thegeneralized trace of a matrix and its recursive method of calculation.讨论了矩阵的广义迹的一些性质及其递归计算法 ,其中的一个主要结果如下 :矩阵的 k阶广义迹等于矩阵的全体特征根的 k次初等对称多项式 。
延伸阅读
Cartan矩阵Cartan矩阵Cartan matrix当它的Cartan矩阵是不可分解的:xndecom拼巧able),即在指标的某些置换后,不可能表为对角块矩阵.令g=q、十十q。是g分解为单子代数的直和,A,是单I一ie代数g的C盯tan矩阵·则对角块矩阵 {…一{一:……是9的Cartan笼,阵.(对单Lze代数的Cartan矩阵的具体形式,见半单lje代数(Lie al罗bra,semi一slmple).)Cartan矩阵的分量“。二2恤等)/(“r·咐有下列性质: 拭.2:“‘()a,、Z,对,势了 以0二冷u/二11Cartan矩阵与用’‘三成元和关系来kjJ画q密切侧关即g中存在线性无关的生成兀e‘,厂、八,(i=飞、·…:)(称为典范生成元(以n、,,11以l罗nerators。),满足下歹,1关系:卜,_用/氏h;I气州二“叮(2)}h,厂一“/」,lh‘寿}二以任意两个典范生成儿组可由q的自同构互相变换.典范产仁成元还满足关系 (ad引“’价二。,扭d厂)‘仁’.石二。,,若/,(3)据定义这里(adx汗一卜川对丁一给定的生成兀组。、fh(i一l,二,心关系(2)和(3)定义了g戈见[2〕).对满足(I)的任意矩阵A,设以。,f,h,(i=l,;)为生成一f以(2),〔3)为定义关系的klLie代数为g妇),则乌训)是有限维的,当且仅当A是一个一半单bc代数的Cartan矩阵{3]I补注]满足条初门)的矩阵左定义一个有限维l玲代数,当且仪当它是王定的;在其他情况,如半正定情形,出现其他有趣的代数,见Kac一M以月y代数(K-a。M以刘y al罗bra),{A2」.设L是特征为0的代数闭域上的半单Lic代数,则满足条件(2)的生成元e,厂,h,的集合也称为Cheva-lley生成元(Chevalley罗nerators)或Chevalley基份hevalley basis)这样的生成元的存在性定理称为C讹valley定理(Chevalley theorem).关系(2),(,;)定义Lie代数的结果常称为Serre定理(Serre th即。。、2)域K上带单位元的有限维结合代数A的Cartan琴阵是矩阵(ctj)(i·,一‘,“‘、‘),由有限维不可约左A模的完全集N!,…,从来定义.明确地说,气是满足Hom(月,N)并O的不可分解投射左A模月的合成列中凡出现的次数.对每个N,这样的只存在巨在同构意义下是唯一确定的在一定情况下,〔artan矩阵〔”被证明是对称正定的,甚至C二D了D,这里D是整数矩阵。