On the powers and the inverse of a tridiagonal matrix
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摘要
In this paper, we present an eigendecomposition of a tridiagonal matrix. Tridiagonal matrix powers and inverse are derived. As consequence, we get some relations verified by the coefficients of the inverse and the powers of a tridiagonal matrix.
论文关键词：Tridiagonal matrices,Eigenvalues,Eigenvectors,Christoffel–Darboux formula
论文评审过程：Available online 20 January 2009.
论文官网地址：https://doi.org/10.1016/j.amc.2009.01.026
