On Hensel construction of eigenvalues and eigenvectors of matrices with polynomial entries
On Hensel construction of eigenvalues and eigenvectors of matrices with polynomial entries
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多项式矩阵特征值和特征向量的 Hensel 构造
DOI：
10.1145/164081.164130
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
T. Takeshima
中科院分区：
文献类型：
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作者：
K. Yokoyama;T. Takeshima
Hensel引理作为模方法中的提升过程的一种工具，被广泛应用于代数计算中，这种基于Hensel引理的提升过程被称为IZensel构造。它的重要例子是多项式计算问题;因式分解，GCD计算和除法。(See劳尔，1983年。）此外，几个Hensel构造被应用于求解多项式方程组或计算具有多项式项的矩阵的逆。(See Krishnamurthy，1985年。）
Hensel’s lemma is now widely used to algebraic computation as a tool of lifting procedure in modular methods, and this lifting procedure based on Hensel’s lemma is called a IZensel construction. Its significant examples are found in polynomial computation problems; factorization, GCD computation and division. (See Lauer, 1983.) Furthermore, several Hensel constructions are applied to solve systems of polynomial equations or to compute inverses of matrices with polynomial entries. (See Krishnamurthy, 1985.)