嚴格正矩陣的研究

Abstract

嚴格正矩陣在很多數學領域扮演著重要的角色。然而，即使對專門研究線性代數的數學家而言，他們也不是很熟悉嚴格正矩陣。這篇論文最主要的目的是介紹嚴格正矩陣的基本性質，在論文的最後則包含對此種矩陣的觀察以及一個開放性的問題。

Strictly totally positive matrices play an important role in various mathematical branches, but there are not very familiar even to linear algebraists. It is the purpose of this thesis to introduce the known properties of these matrices and their self-contained proofs. Some observations and open problems are given in the end.