论文标题
关于Polya永久问题的两个版本的等效性的评论
A remark on an equivalence of two versions of Polya's permanent problem
论文作者
论文摘要
在2004年，在24个版本中列出了Polya永久性问题的一些等效版本。但是，该定理存在一个缺陷，可以肯定版本11和12的等效性。为了纠正滑移，当给定的非负矩阵的决定性和永久性相等时，我们提供了表征。此外，新的特征为给定非负矩阵的决定因素和永久性的平等带来了必要和充分的条件。
In 2004, some equivalent versions of Polya's permanent problem were listed in 24 versions. However, there is a flaw on the theorem that affirms an equivalence of version 11 and 12. In order to correct the slip, we provide a characterization when the determinant and permanent of a given nonnegative matrix are equal. Moreover, the new characterization yields necessary and sufficient conditions for the equality of the determinant and permanent of powers of a given nonnegative matrix.
