Stability analysis of improved Two-level orthogonal Arnoldi procedure
Numerical Analysis
2019-02-13 v2
Abstract
The SOAR method for computing an orthonormal basis of a second-order Krylov subspace can be numerically unstable (see Lu et al. (2016)). In the Two-level orthogonal Arnoldi(TOAR) procedure, an alternative to SOAR, the problem of instability had circumvented. A stability analysis of the second-order Krylov subspace's orthonormal basis in TOAR with respect to the coefficient matrices of a quadratic problem remain open; see Lu et al. (2016). This paper proposes the Improved-TOAR method(I-TOAR) and solves the said open problem for I-TOAR.
Keywords
Cite
@article{arxiv.1902.01766,
title = {Stability analysis of improved Two-level orthogonal Arnoldi procedure},
author = {Mashetti Ravibabu},
journal= {arXiv preprint arXiv:1902.01766},
year = {2019}
}
Comments
22pages, 2figures