Title :
Estimation of Eigenvalues for a Sort of Matrixes
Author_Institution :
Sch. of Statistic & Math., Shandong Univ. of Finance, Jinan, China
Abstract :
In order to estimate eigenvalues of matrix, an improvement on Ky Fan´s theorem of matrix eigenvalues will be given in the article in terms of Perron roots and Perron vectors of positive (or irreducible nonnegative) matrices. At the same time, some examples are shown to test the results.
Keywords :
eigenvalues and eigenfunctions; matrix algebra; vectors; Ky Fan theorem; Perron roots; Perron vectors; irreducible nonnegative matrices; matrix eigenvalue estimation; positive matrices; Educational institutions; Eigenvalues and eigenfunctions; Linear matrix inequalities; Manganese; Vectors; Perron roots and Perron vector; eigenvalue; nonnegative matrix;
Conference_Titel :
Industrial Control and Electronics Engineering (ICICEE), 2012 International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4673-1450-3
DOI :
10.1109/ICICEE.2012.225
