On the eigenvalues of some tridiagonal matrices

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摘要

A solution is given for a problem on eigenvalues of some symmetric tridiagonal matrices suggested by William Trench. The method presented can be generalizable to other problems.

论文关键词:15A18,65F15,15A09,15A47,65F10,Tridiagonal matrices,Eigenvalues,Recurrence relations,Chebyshev polynomials

论文评审过程:Received 13 December 2004, Available online 20 February 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2005.08.047