Stability of Quadratic Projection Methods

Details Stability of Quadratic Projection Methods Stability of Quadratic Projection Methods

2006-06-28

arxiv.org/abs/math/0606721v2

Mathematics

Spectral Theory

19 pages, 4 figures. In this updated version we have made a small number of minor corrections

Scientific paper

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].

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