On computing of arbitrary positive powers for anti-tridiagonal matrices of even order

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摘要

In this paper, the general expression of the lth power (l∈N) for one type of anti-tridiagonal matrices is derived. Expressions of eigenvectors and Jordan’s form of the matrix and of the transforming matrix and its inverse are given.

论文关键词:Anti-tridiagonal matrices,Eigenvalues,Eigenvectors

论文评审过程:Available online 22 April 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.04.031