Article ID Journal Published Year Pages File Type
4600716 Linear Algebra and its Applications 2011 15 Pages PDF
Abstract

We survey the most recent results on permanental bounds of a nonnegative matrix. Some older bounds are revisited as well. Applying refinements of the arithmetic mean–geometric mean inequality leads to sharp bounds for the permanent of a fully indecomposable Ferrers matrix. In the end, several relevant examples comparing the bounds are discussed.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory