浅谈高等代数在最优化问题的应用

The Application of Advanced Algebra in Optimization Problem

摘要: 高等代数是大学数学专业开设的三大专业课之一，其内容可以概括为两个方面：一是特殊概念的抽象化；二是概念之间的严密逻辑推理。与初等代数相比，高等代数中的相关概念和知识更具一般性和抽象性。在课程学习过程中，如何理解、应用概念是教学难点。本文首先介绍高等代数中矩阵的特征值和特征向量等相关知识，然后用他们解决工程学和经济学中的最优化问题。从而让学生更好的理解、掌握和应用高等代数中的相关概念和知识。

Abstract: Advanced algebra is one of three major courses for mathematics students, whose contents include mainly: the abstraction of the certain concepts and logical reasoning among concepts. Compared with elementary algebra, the concepts and knowledge of advanced algebra are much more general and abstract. In its study, the understanding and applications of the concepts are difficult points. This paper mainly introduces the applications of advanced algebra to optimization problem, and guides students how to understand the concepts from advanced algebra and how to use them.