New permanental bounds for Ferrers matrices

作者：Alzer H; da Fonseca C M^*

来源：Linear Algebra and Its Applications, 2011, 435(11): 2813-2827.

DOI：10.1016/j.laa.2011.04.042

• Ferrers matrices
• Permanent
• Bounds
• Arithmetic mean-geometric mean inequality

We survey the most recent results on permanental bounds of a non-negative 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.

• 出版日期2011-12-1