J4 ›› 2011, Vol. 46 ›› Issue (6): 18-21.

• Articles • Previous Articles     Next Articles

A new characterization of the distribution areas of matrix eigen-values

WANG Da-fei, WU Jun-liang   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2010-11-28 Online:2011-06-16 Published:2011-12-19

Abstract:

The new distribution areas of matrix eigenvalues are discussed. All the eigenvalues of an arbitrarily given matrix are located in the same disc, which accurately estimates eigenvalues of any matrix and their distribution. An example shows the effectiveness of the results.

Key words:  eigen-values; distribution and estimation; Euclidean norm

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