Polynomial sequences generated by infinite Hessenberg matrices

We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study properties of the polynomial sequences and th...

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Bibliographic Details
Main Author: Verde-Star Luis
Format: Article
Language:English
Published: De Gruyter 2017-01-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2017-0002