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A note on the perturbation analysis for the generalized Cholesky factorization
Authors:Hanyu Li  Hu Yang
Institution:a College of Mathematics and Physics, Chongqing University, Chongqing 400044, People’s Republic of China
b Department of Mathematics and Physics, Chongqing University of Science and Technique, Chongqing 401331, People’s Republic of China
Abstract:In this note, we consider the perturbation analysis for the generalized Cholesky factorization further. The conditions for the main theorems of the paper W.-G. Wang, J.-X. Zhao, Perturbation analysis for the generalized Cholesky factorization, Appl. Math. Comput. 147 (2004) 601-606] are weakened by using an alternative method. Moreover, some new perturbation bounds are also derived.
Keywords:Generalized Cholesky factorization  Symmetric quasidefinite matrix  Perturbation bound
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