May 1, 2014 · We obtain new rigorous perturbation bounds for the LU and QR factorizations with normwise or componentwise perturbations in the given matrix.
Improved rigorous perturbation bounds for the LU and QR ...
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Jun 17, 2015 · Summary Combining the modified matrix–vector equation approach with the technique of Lyapunov majorant function and the Banach fixed point ...
Each of the new rigorous perturbation bounds is a rigorous version of the first-order perturbation bound derived by the matrix-vector equation approach in the ...
Abstract. SummaryCombining the modified matrix–vector equation approach with the technique of Lyapunov majorant function and the Banach fixed point theorem, ...
The present article aims at providing tight rigorous perturbation bounds for the. Cholesky, LU and QR factorizations, which can be efficiently estimated in O(n2).
Some improved rigorous multiplicative perturbation bounds for the generalized Cholesky factorization and the Cholesky-like factorization which are two ...
New rigorous perturbation bounds for the Cholesky, LU, and QR factorizations with normwise or componentwise perturbations in the given matrix can be much ...
This article presents rigorous normwise perturbation bounds for the Cholesky, LU, and QR factorizations with normwise or componentwise perturbations in the ...
This article presents rigorous normwise perturbation bounds for the Cholesky, LU, and QR factorizations with normwise or componentwise perturbations in the ...
Improved rigorous perturbation bounds for the LU and QR factorizations. H. Li, and Y. Wei. Numerical Lin. Alg. with Applic., 22 (6): 1115-1130 (2015 ).