標題: 不可約非負矩陣相似至正矩陣的問題探討
Irreducible nonnegative matrices that are similar to positive matrices
作者: 王信元
Wang, Hsin-Yuan
王國仲
Wang, Kuo-Zhong
應用數學系所
關鍵字: 不可約;非負矩陣;相似;正矩陣;irreducible;nonnegative matrices;similar;positive matricers
公開日期: 2010
摘要: 我們所要探討的是不可約非負矩陣相似至正矩陣的問題,我們 將探討二個主要問題。一是對於n 階不可約非負矩陣且有n+2 個零元 素和對角線元素皆相異的條件之下,會相似至正矩陣。二是對於n 階 不可約非負矩陣且有n+2 個非零元素的條件之下,會相似至正矩陣。
We study the questions in which the irreducible nonnegative matrices are similar to positive matrices.We will solve the problems for n×n irreducible nonnegative matrices with exactly n+2 zeros, and all the entries of diagonal are distinct, and for n×n irreducible nonnegative matrices with exactly n+2 nonzero elements are similar to positive matrices.
URI: http://140.113.39.130/cdrfb3/record/nctu/#GT079622514
http://hdl.handle.net/11536/42499
顯示於類別:畢業論文


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