Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897892 | Linear Algebra and its Applications | 2018 | 17 Pages |
Abstract
We study Hermite orthogonal polynomials and Gram matrices of their non-standard inner products. The weight function of the non-standard inner product is obtained from the Gauss probability density function by its horizontal shift by a real parameter. We are interested in the spectral properties of these matrices and some of their modifications. We show how the largest and smallest eigenvalues of the matrices depend on the parameter.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Martin PleÅ¡inger, Ivana Pultarová,