正交矩阵中的零项性质研究

Study of the zero-item properties in the orthogonal matrix

正交矩阵是矩阵理论中非常重要的一个概念。它具有许多优良的性质,在实际中也有着广泛应用。我们知道,包含许多零项的矩阵是稀疏矩阵,这在许多数学和工程问题中很容易处理。文中主要研究正交矩阵中零项的分布,并从中推导出零项组成的集合最大值、运算性质及一些其他性质。

Orthogonal matrix is a very important concept in matrix theory.It has many excellent properties,and it has been widely used in practice.We know that matrices containing many zero terms are sparse matrices,which are easily handled in many mathematical and engineering problems.In this paper,we mainly study the distribution of zero terms in the orthogonal matrix,and derive the maximum value,operational properties and some other properties of the set composed of zero terms.