JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (12): 15-22.doi: 10.6040/j.issn.1671-9352.0.2014.549

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Extremal eigenvalues of a class of tridiagonal interval matrices

JIAN Yuan, LIU Ding-you   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China
  • Received:2014-12-03 Revised:2015-03-06 Online:2015-12-20 Published:2015-12-23

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Abstract: A class of tridiagonal interval matrices is studied by the recursive characteristic polynomials and Chebyshev polynomials where some results on eigenvalues are involved. The sharp (lower and upper) bound for the eigenvalues of this class of tridiagonal interval matrices is presended, and the realization matrices whose smallest (largest) eigenvalues reach the lower(upper) bound is characterized.

Key words: recursion, eigenvalue, tridiagonal interval matrix, Chebyshev polynomial

CLC Number: 

  • O151.21
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