| 代数学基本定理的推论及其应用 |
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| 引用本文： | 王骁力,李涛.代数学基本定理的推论及其应用[J].南阳师范学院学报,2014(3):4-8. |
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| 作者姓名： | 王骁力 李涛 |
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| 作者单位： | 南阳师范学院数学与统计学院,河南南阳473061 |
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| 摘 要： | 用代数学基本定理的推论讨论多项式和矩阵问题,给出了方阵乘积的伴随矩阵与参与乘积矩阵的伴随矩阵关系一个新的证明,得到了实对称矩阵正交相似关系的一个新结果.
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| 关 键 词： | 代数学基本定理 多项式 Lagrange差值公式 伴随矩阵 正交相似 |
Deduction and application of the algebraic fundamental theory |
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| WANG Xiao-li,LI Tao.Deduction and application of the algebraic fundamental theory[J].Journal of Nanyang Teachers College,2014(3):4-8. |
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| Authors: | WANG Xiao-li LI Tao |
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| Institution: | ( School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061 , China ) |
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| Abstract: | The inferences about the algebraic fundamental theory are applied to problems of polynomials and matrices. A new proof of the relation about the adjoint matrix and the two matrices involved in the product matrix is given. A new resuh of orthogonal similarity problem about real symmetric matrices is obtained. |
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| Keywords: | algebraic fundamental theory polynomial Lagrange difference formula adjoint matrix orthogonalsimilarity |
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