For example, the Sylvester matrix for and is The determinant of the Sylvester matrix of two polynomials is the resultant of the polynomials. SylvesterMatrix is an (undocumented) method for the Resultant function in the Wolfram Language (although it is documented in Trott 2006, p. 29). See...
The \\\(ext {GCD}\\\) computations are performed using the Sylvester resultant matrix, which is a structured matrix, and thus a structure-preserving matrix method is used to obtain a deblurred image. Examples of blurred and deblurred images are presented, and the results are compared with ...
(x)=∑i=0nbixi ,其中 am,bn≠0 ,那么它们的Sylvester矩阵定义为一个 (m+n) 阶方阵: 列列 ⏞n列 ⏞m列Syl(f,g)=[a0b0⋮a0b1⋱⋮⋮⋱⋮⋱b0am⋮a0⋮b1am⋮bn⋮ ⋱⋮⋱⋮ ambn]Sylevester矩阵的行列式称为 f,g 的Sylvester结式(Sylvester Resultant),记为 Res(f,g...
1. The remainder sequence of two polynomials is first obtained using the column elementary transformation of the matrix,and then the relation between the Sylvester resultant and the one of the neighbor terms in the remainder sequence is established. 最后根据这个关系导出一种计算Sylvester结式的方法。
1.The remainder sequence of two polynomials is first obtained using the column elementary transformation of the matrix,and then the relation between theSylvester resultantand the one of the neighbor terms in the remainder sequence is established.最后根据这个关系导出一种计算Sylvester结式的方法。
Recently a Sylvester matrix for several polynomials has been defined, establishing the relative primeness and the greatest common divisor of polynomials. Using this matrix, we perform qualitative analysis of several polynomials regarding the inners, the bigradients, Trudi's theorem, and the connection ...
2) Sylvester resultant Sylvester结式 1. The remainder sequence of two polynomials is first obtained using the column elementary transformation of the matrix,and then the relation between the Sylvester resultant and the one of the neighbor terms in the remainder sequence is established. 最后根据...
Use the knot elimination theory to eliminate the x argument, and let the knot matrix equal 0 so that a single argument equation for the compressed variable can be obtained; 4. Solve the roots of the single argument equation for the compressed variable, return each root to the equation, and...
7.The Sylvester and Frobenius Equation Problem of the Matrix s Rank;矩阵秩的Sylvester与Frobenius等式问题 8.Position Analysis of Nine-link Barranov Truss Based on Sylvester Resultant基于Sylvester结式的9杆巴氏桁架位置分析 9.characteristic equation of differential equation system微分方程组的特征方程 ...
the resultant Zhang neural network for solving time-varying Sylvester equation is designed based on a matrix-valued error function, instead of a scalar-valued error function. It is depicted in an implicit dynamics, instead of an explicit dynamics. Furthermore, Zhang neural network globally exponentia...