A modified algorithm for the Perron root of a nonnegative matrix with centrosymmetric structure

2011 ◽  
Author(s):  
Di Zhao ◽  
Hongyi Li
Keyword(s):  
Nonnegative Matrix ◽  
Perron Root ◽  
Centrosymmetric Structure ◽  
Modified Algorithm

A modified algorithm for the Perron root of a nonnegative matrix

2011 ◽  
Vol 217 (9) ◽  
pp. 4453-4458 ◽  
Author(s):  
Chengming Wen ◽  
Ting-Zhu Huang
Keyword(s):  
Nonnegative Matrix ◽  
Perron Root ◽  
Modified Algorithm

scholarly journals Nested bounds for the Perron root of a nonnegative matrix

1983 ◽  
Vol 52-53 ◽  
pp. 235-251 ◽  
Author(s):  
Emeric Deutsch ◽  
Helmut Wielandt
Keyword(s):  
Nonnegative Matrix ◽  
Perron Root

On the Perron Root of Nonnegative Matrices

2013 ◽  
Vol 798-799 ◽  
pp. 777-780
Author(s):  
Hong Yi Li ◽  
Di Zhao ◽  
Chao Jie Wang
Keyword(s):  
Nonnegative Matrix ◽  
Nonnegative Matrices ◽  
Significant Saving ◽  
Perron Root ◽  
Numerical Example ◽  
Symmetric Structure ◽  
Improved Algorithm

In this paper, we mainly discuss the computation of the Perron root of a nonnegative matrix. We propose an algorithm for the Perron root of nonnegative matrices by using the generalized Perron complement. Based on this algorithm, for the Perron root of a nonnegative matrix with central symmetric structure, we construct an improved algorithm, which ensures significant saving of computation and store cost. We demonstrate this by analyzing theoretically and a numerical example.

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