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Inclusion Interval of Coneigenvalues of a Matrix

LI Qingchun1, ZHANG Shugong2   

  1. 1. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-01-15 Revised:1900-01-01 Online:2008-11-26 Published:2008-11-26
  • Contact: ZHANG Shugong

Abstract: We studied the estimations for coneigenvalues of a matrix, introduced the concept of basic coneigenvalues, and gave some sufficient conditions to identify a nonsingular matrix by means of the constructive geometry method that defines hyperplane in real spaces. Moreover, a new inclusion interval of basic matrix coneigenvalues was also studied and a useful estimation was also given.

Key words: coneigenvalue, basic coneigenvalue, inclusion interval

CLC Number: 

  • O151.21