Through the inquiry into the ranks of coprime polynomial matrices,this paper draws a conclusion: Theorem Let f(x),g(x)∈P?眼x?演 and A∈P n×n,if(f(x),g(x))=1,then n+r?眼f(A)g(A)?演=r(f(A))+r(g(A)).
本文给出了互素多项式在矩阵的秩讨论中的一个简单结果:定理:设f(x),g(x)∈P[x],A是n阶方阵,若(f(x),g(x))=1,则n+r[f(A)g(A)]=r(f(A))+r(g(A))。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given,and it was used in the proof of some equality about the rank of idempotent matrix.
给出了两两互素多项式下线性变换的核的直和分解,并应用于幂等矩阵(对合矩阵)的秩的等式证明中。
Using the decompositions of Bezout matrix,resultant matrix and Hankel matrix,the authors get several new properties of these matrices above,which give the matrix expressin of coprime polynomials and supply a new method in dealing with polynomial problems.
利用Bezout矩阵、结式矩阵与Hankel矩阵的分解得到了它们的几个新性质,给出了多项式互素的矩阵描述,为处理多项式问题提供了一种新方法。
The Direct Sum Decomposition of the Addition of a Linear Transformation under the Coprime Polynomial and Its Application;
线性变换在互素多项式下核的直和分解及应用
A Conclusion and Application of the Ranks of Coprime Polynomial Matrices;
互素多项式矩阵的秩的一个简单结论及其应用
Error Bound for the Polynomial Complementarity Problem over a Convex Closed Polyhedron;
闭凸多面体上多项式互补问题的误差界
Analysis on accuracy factors of multi-source remote sensing image registration by polynomial model
多源遥感影像多项式配准精度影响因素分析
RESULTS AND PROBLEMS FOR PRIME FACTORIZATIONS MULTIVARIATE POLYNOMIAL MATRICES
多变量多项式矩阵素分解的结果和问题
Prediscovery of Relations Among Several-items Equations of chess About the Two Each-replenished Chess Board on Rectangle Chess Board;
方棋盘上两个互补棋盘棋子多项式之间的关系探析
The Multi-expert Interactive Risks Allocation Model of Cable Digital Television
多专家交互式的有线数字电视项目风险分担模型
Gr(?)bner Bases and Primary Decomposition of Ideals and Polynomial Composition
Gr(?)bner基与理想的准素分解及多项式复合
Square Root Algorithm of the Element in Quotient Ring of Rational Coefficient Polynomial Ring
有理系数多项式环的商环中元素的平方根算法
EXISTENCE DETERMINATION AND SOLUTIONG OF THE POLYNOMIAL INVERSE IN REPEAT MODULE POLYNOMIAL RING
重模多项式环中逆元素的存在性判断及求法
Identical Equation of Bernoulli Multinomial and Eurler Multinomial;
有关Bernoulli多项式和Eurler多项式的恒等式
Some Identities on Genocchi Polynomials and Bernoulli Polynomials
关于Genocchi多项式与Bernoulli多项式的恒等式
Multinomial L-regression Analysis on Factors Influencing Elderly-care in Rural Area
农村中青年养老方式影响因素的多项式Logistic回归分析
An expression of two or more terms.
多项式含两个或更多项的一个表达式
Research on Polynomial Functions and Permutation Polynomials;
关于多项式函数与置换多项式的研究
Some properties on the generalized Euler and Bernoulli polynomials;
推广的Euler多项式与Bernoulli多项式的性质
interactive multi-run simulation
交互式多次运行仿真
MiPad Multimodal Interactive Notepad
多语态互动式记事本