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                                       Details for article 6 of 10 found articles
 
 
  On generalizations of the perron-frobenius theorem
 
 
Title: On generalizations of the perron-frobenius theorem
Author: Goldrerg, Moshe
Staraus, E.G.
Appeared in: Linear & multilinear algebra
Paging: Volume 14 (1983) nr. 2 pages 143-156
Year: 1983-10
Contents: The Perron-Frobenius Theorem states that a matrix with nonnegative entries has at least one nonnegative eigenvalue of maximal absolute value and a corresponding eigenvector with nonnegative components. In this paper we discuss generalizations of this celebrated theorem that locate an eigenvalue of maximal absolute value and the components of a corresponding eigenvector within a certain angle of the complex plane depending on the angle which contains the entries of the matrix. A complete description of the 2 × 2 case as well as partial results for the general case are given.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 6 of 10 found articles
 
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