1) Sylvester-Blumenthal determinant
Sylvester-Blumenthal行列式
2) Sylvester-Blumenthal matrix
Sylvester-blumenthal矩阵
3) 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.
最后根据这个关系导出一种计算Sylvester结式的方法。
4) Sylvester inequality
Sylvester不等式
1.
By using matrix-blocking,this paper gives the necessary and sufficient condition for the equatity sign in the Sylvester inequality,and the sufficient condition for the equatity sign in the Frobenius inequality,and the corresponding algorithm and example are also given.
利用矩阵分块,给出了Sylvester不等式等号成立的充要条件和Frobenius不等式等号成立的充分条件,并给出了判别等号成立的算法算例。
2.
In particular, extremely concise proofs for famous results such as Frobenius inequality and Sylvester inequality are obtained, and some related problems and facts in linear algebra, including properties of matrices with full column rank, and discussed.
特别是,给出了Frobenius不等式,Sylvester不等式等著名结果的极其简洁的证明,据此探讨了线性代数中有关问题和实例,包括列满秩矩阵的特点等。
5) sylvester formula
Sylvester公式
6) Sylvester resultant elimination
Sylvester结式消元法
补充资料：N阶行列式
设有n2个数，排成n行n列的表 ,作出表中位于不同行不同列的n个数的乘积，并冠以符号(-1)t，的形式如下的项,其中为自然数1,2,...,n的一个排列,t为这个排列的逆序数.由于这样的排列共有n!个,这n!项的代数和称为n阶行列式
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条