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