| 完全域上矩阵多项式方程的可解性 |
| |
| 引用本文： | 余览娒. 完全域上矩阵多项式方程的可解性[J]. 应用数学与计算数学学报, 2002, 16(2): 61-67 |
| |
| 作者姓名： | 余览娒 |
| |
| 作者单位： | 温州师范学院数学系 |
| |
| 摘 要： | 本文利用一般域上的λ-矩阵理论，研究了矩阵多项式方程的可解性，证明了完全域上矩阵多项式方程有解的充要条件，这些条件同时提供了解此类矩阵方程的方法。
|
| 关 键 词： | 代数闭域 λ－矩阵 初等因子 完全域 矩阵多项式方程 可解性 |
| 修稿时间： | 2000-09-10 |
The Solvability of Matrix Polynomial Equation over a Complete Field |
| |
| LANMEI YU. The Solvability of Matrix Polynomial Equation over a Complete Field[J]. Communication on Applied Mathematics and Computation, 2002, 16(2): 61-67 |
| |
| Authors: | LANMEI YU |
| |
| Abstract: | In this paper, we study the solvability of matrix polynomial equation by using the theory of A-matix over a general field. We also prove the necessary and sufficient condition for existence of a solution to the matrix equation over a Complete Field. Some methods for solving the matrix equation are presented. |
| |
| Keywords: | Complete Field Algebraic Closed Field Eigenpolynomial Elementary Divisor Matris Polynomial Equation. Scheduling Mathematical Programming Assignment Problem. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
