Forming a symmetric, unreduced, tridiagonal matrix with a given spectrum
Numerical Analysis
2023-11-07 v1 Numerical Analysis
Abstract
Given a set of distinct real numbers, our goal is to form a symmetric, unreduced, tridiagonal, matrix with those numbers as eigenvalues. We give an algorithm which is a stable implementation of a naive algorithm forming the characteristic polynomial and then using a technique of Schmeisser.
Cite
@article{arxiv.2311.02677,
title = {Forming a symmetric, unreduced, tridiagonal matrix with a given spectrum},
author = {Luca Dieci and Alessandro Pugliese},
journal= {arXiv preprint arXiv:2311.02677},
year = {2023}
}
Comments
5 pages, 1 figure