矩阵特征值问题的背景及一些新应用

Wide Scope and New Applications of the Eigenvalue Problem for Matrix

本文讨论了矩阵特征值问题在代数、几何、分析、概率、天文、物理、化学、经济等广泛的领域内的产生及应用背景,并总结了作者在图论、管理科学、社会科学等领域提出的新应用。

The paper discuss produced and applied background of matrix eigenvalue problem in wide field of algebra, geometry, caculus, probability theory, astronomy, physics, chemistry, economics. Some new applications presented by author to graph theory, managing science, and social science are summarized.