Article ID Journal Published Year Pages File Type
4638612 Journal of Computational and Applied Mathematics 2015 10 Pages PDF
Abstract

Here a known result on the structure of finite Hessenberg matrices is extended to infinite Hessenberg matrices. Its consequences for the example of infinite Hessenberg–Toeplitz matrices are described. The results are applied also to the inversion of infinite tridiagonal matrices via recurrence relations. Moreover, since there are available free parameters, different inverses can be associated with a given invertible tridiagonal matrix.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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