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摘要
In this note, the rigorous perturbation bounds for R factor of the implicit Bunch form of the symplectic QR factorization under normwise perturbation are derived by using the block matrix-vector equation approach, the technique of Lyapunov majorant function, and the Banach fixed point principle. These bounds are tighter than the one in [Li et al. Linear Multilinear Algebra, 63, (2015), 78-96] and can be regarded as the rigorous versions of the optimal first-order perturbation bounds in [Li et al. J. Franklin Inst., 353, 5 (2016), 1186-1205].
- 出版日期2017-4
- 单位重庆大学
