Stability of Quadratic Projection Methods
Spectral Theory
2025-10-20 v2 Numerical Analysis
Numerical Analysis
Abstract
In this paper we discuss the stability of an alternative pollution-free procedure for computing spectra. The main difference with the Galerkin method lies in the fact that it gives rise to a weak approximate problem which is quadratic in the spectral parameter, instead of linear. Previous accounts on this new procedure can be found in Levitin and Shargorodsky (2002) [math.SP/0212087] and Boulton (2006) [math.SP/0503126].
Cite
@article{arxiv.math/0606721,
title = {Stability of Quadratic Projection Methods},
author = {Lyonell Boulton and Michael Strauss},
journal= {arXiv preprint arXiv:math/0606721},
year = {2025}
}
Comments
19 pages, 4 figures. In this updated version we have made a small number of minor corrections