求元素为1或-1的n阶行列式的最大值的一种方法

求元素为1或-1的n阶行列式的最大值问题至今还没有得到解决,试图解决这个问题.首先把该问题转化为求元素为0或1的n-1阶行列式的最大值问题,接着给出了用取值较大的k-1阶行列式构造取值较大的k阶行列式的一种方法,并利用这种方法分别求出了元素为1或-1的3阶至8阶行列式的最大值.

A Method to Determine Maximal Value of the Determinant of n×n Matries with Entries±1

Asking the maximum value of a determinant whose number of rows is n and elements are 1 or-1 is not until now been solved.This article attempts to solve this problem. Firstly we transforms this problem into askint the maximum value of a determinant whose number of rows is n-1 and elemnts are 0 or 1.Then we has given a method that using a determinant whose number of rows is k-1 and value is relatively large to construct a determinat whose number of rows is k and value is relatively large too.Lastly we make this kind of method to acquire the values of determinants whose number of rows is 3 to 8 and elements are 1 or -1.