Let γ(A) denote the number of nonzero entries in the inverse of an invertible submatrix A of M(G).
设 M( G)是简单无向图 G的关联矩阵 ,A是 M( G)的可逆子矩阵 ,γ( A)是逆矩阵 A- 1中非零元素的个数 。
An equality is proved by discussing the relationship between a matrix and its submatrix and a test statistical variable for the parameter hypothesis test of liner model (Y,Xβ,σ 2I n) is obtained.
通过证明矩阵 X,X′X及其子矩阵的一个关系式 ,得到了多元正态线性模型( Y,X﹀,σ2 In)中参数﹀的假设检验问题的检验统计
A new result about the relation between the singular values of an arbitrary matrix and those of its submatrix,which is called generalized interlacing theorem,is presented.
给出关于任意一矩阵与子矩阵的奇异值关系 ,称之为广义分隔定理。
A novel fast approximative algorithm, where the flexible sub-matrixes were selected according to the node position of oil film pressure on bush loading surface,was then presented .
采用APDL语言编写专门的计算程序来自动求取变形矩阵,并根据变形矩阵的特点,提出了一种在轴承承载区油膜压力对应节点位置处动态截取子矩阵的快速近似新算法。
The expression and transformation of refinery stream bulk properties and composition based on molecular matrix;
基于分子矩阵的炼油过程物流组成表达及转换
However,they are involved with the assumption that the sub-matrix Pθ is invertible.
基于降阶潮流雅可比矩阵的V-Q灵敏度、模态分析等静态分析方法在分析电压稳定方面得到了广泛应用,但降阶雅可比矩阵涉及到系统潮流雅可比矩阵的子矩阵Pθ可逆的问题,针对此问题,该文首先结合数学矩阵理论及电力系统的实际情况就矩阵Pθ是可逆矩阵给出明确的证明,为基于降阶雅可比矩阵的应用提供理论支持。
Program diagnosis method based on operator matrix model;
基于算子矩阵模型的程序诊断方法
The necessary and sufficient conditions are obtained for the existence of the rational solutions of differential equations by constructing the differential operator and establishing the operator matrixes,and the corresponding results collected in Ref.
本文主要利用在文［４］中得到的一个定理，通过构造微分方程的线性算子的方法，得到了一个关于微分方程的算子矩阵，从这个算子矩阵向量的线性相关性得到了微分方程存在有理式解的充分必要条件，并举例给出求有理式解的具体方法。
By using the block operator matrix,when the range of A is closed,the sufficient and necessary conditions for the existence of solutions and positive operator solutions of the operator equation AXA*=B and the representation of the solutions are established.
文中利用算子分块的技巧,在算子A值域闭的情况下讨论了算子方程AXA*=B解及其正解存在的充要条件并用算子矩阵的形式给出了它们的具体表示。
A Generalization of a Class of Inverse Problem for Matrices with a Submatrix
一类子矩阵约束下矩阵反问题的拓广
Some Research for Matrix Equation Problems under Submatrix Constraint;
关于子矩阵约束下矩阵方程问题的研究
The Least-squares Solutions of Some Classes Matrix Equtions with a Submatrix Constraint;
几类子矩阵约束下的矩阵方程的最小二乘问题
The Symmetric Nonegative Definite Solutions of Linear Matrix Equation XA=B;
子矩阵约束下矩阵方程XA=B的对称非负定解
Best Approximate Solutions of the Matrix Inverse Problems with Some Submatrixes Constraint
子矩阵约束下矩阵反问题的最佳逼近解
Iterative Solutions of Three Kinds of Matrix Equations with Sub-matrix Restrains
子矩阵约束下三类矩阵方程的迭代解法
Diagonally Dominant,Determinant,Order Principal Matrix,Transpose Properties of Generalizations of-matrices
广义M-矩阵对角占优、行列式、转置及顺序主子矩阵的性质
Inverse Problem of Doubly Center Matrices under Submatrix Constraint and Its Optimal Approximation
子矩阵约束下的双中心矩阵反问题及其最佳逼近
Possible Spectrums of 3×3 upper Triangular Operator Matrices;
3×3阶上三角型算子矩阵的可能谱
Elementary Divisor of Characteristic Matrix of Matrix polynomial;
矩阵多项式的特征矩阵的初等因子组
The fundamental circ matrix is one example of a reduced circ matrix.
基本圈矩阵是简化广义圈矩阵的一个例子。
Inversion of permutation factor circulant matrices over Z_p
域Z_p上的置换因子循环矩阵的逆阵
A novel topological index called Y-index was developed based simultaneously on the bond distance and bond adjacent matrices for a molecular.
基于分子的键距矩阵和键联矩阵提出一种新的分子拓扑指数Y.
Least-squares Solution for the Inverse Problem of Several Matrices;
几类子阵约束下矩阵反问题的最小二乘解
Several Classes of Submatrix Extension Problems and a Class of Constrained Matrix Equation Problems;
几类子阵扩充问题和一类约束矩阵方程问题
Color Image 3-D Matrix Transform Compression Coding Based on YC Submatrix;
基于YC子阵的彩色图像三维矩阵变换压缩编码
The square matrix is called a diagonal matrix.
该方矩阵称为对角矩阵。
The matrix is defined as the reciprocal of A.
该矩阵定义为A之逆矩阵。